TURBULENT TRANSPORT THEORY


 Clemence Kelley
 1 years ago
 Views:
Transcription
1 ASDEX Upgrade MaxPlanckInstitut für Plasmaphysik TURBULENT TRANSPORT THEORY C. Angioni GYRO, J. Candy and R.E. Waltz, GA
2 The problem of Transport Transport is the physics subject which studies the physical processes by which particles, momentum and energy are moved (transported) in a domain in the real space The goal is to identify the relationship between thermodynamic fluxes and thermodynamic forces Thermodynamic fluxes are particle, momentum and energy (heat) fluxes In present tokamaks, these are mainly imposed by external means ( particle sources, torque and heating powers) Thermodynamic forces are the spatial gradients of the particle and momentum densities and of the pressures (temperatures) These describe how the plasma reacts to the imposed fluxes, namely the radial profiles of density, rotation and temperature
3 Transport in fusion plasmas Due to the different behaviour of charged particles along and across a magnetic field, transport in fusion plasmas is strongly anisotropic Almost infinite in the direction parallel to the magnetic field, Small in the direction perpendicular to the magnetic field Parallel transport is large enough to strongly limit the variation of density and pressure along the field lines (on the flux surfaces) How large is the perpendicular (radial) transport is what determines the confinement properties of the plasma Collisional ( classical / neoclassical ) transport mechanisms provide a minimum unavoidable level of radial transport, which is lower than the measured values by almost one order of magnitude for the ion heat transport by at least two orders of magnitude for the electron heat transport
4 Outline Time scales relevant for turbulent transport Microinstabilities Turbulence and transport Main turbulence stabilisation mechanisms
5 Time scales : beyond neoclassical transport Time [s] Electrons Ions confinement 1 confinement Neoclassics 1 2 collision frequency collision frequency orbit frequency orbit frequency Cyclotron frequency Microinstabilities turbulence Cyclotron frequency plasma frequency plasma frequency Quasineutrality
6 Time scales : beyond neoclassical transport Electrons confinement Time [s] Ions 1 confinement 1 2 Parallel time scales Perpendicular time scales k v Dj j*k v collision frequency orbit frequency Cyclotron frequency plasma frequency collision frequency orbit frequency 1 5 Cyclotron frequency plasma frequency 1 8 ω b i =k ω b e =k =v i =v e trapped & passing ions trapped & passing electrons ω * j ω Dj
7 MICROINSTABILITIES GYRO, J. Candy and R.E. Waltz, GA
8 Particle orbits Dominant motion is gyromotion (magnetized plasma) Any force F implies a drift of the particle in a direction perpendicular to both the field B and the force F parallel motion curvature drift ExB drift grad B drift } drifts F B Mirror force also leads to particle trapping (banana orbits) since the magnetic field increases towards the axis of the torus
9 Gyrokinetic equation General kinetic equation Gyrokinetic equation : gyroaverage, f = F FM Linear gyrokinetic equation in simplified geometry, B = B R / R b
10 Normalized logarithmic gradients Gyrokinetic equation : gyroaverage, f = F FM Linear gyrokinetic equation in simplified geometry, B = B R / R b The (radial) gradient of the Maxwellian = E where 1 L X = X X and LB = R
11 Fluid model in simplified geometry Continuity (zero moment) Parallel velocity moment Energy balance ( second order moment ) Linear gyrokinetic equation in simplified geometry, B = B R / R ey
12 Fluid model in simplified geometry Continuity (zero moment) Parallel velocity moment Energy balance ( second order moment ) Linear gyrokinetic equation in simplified geometry, B = B R / R ey
13 Fluid model in simplified geometry Continuity (zero moment) Parallel velocity moment Energy balance ( second order moment ) Linear gyrokinetic equation in simplified geometry, B = B R / R ey
14 Fluid model in simplified geometry Continuity (zero moment) Parallel velocity moment Energy balance ( second order moment ) Linear gyrokinetic equation in simplified geometry, B = B R / R ey
15 Fluid model in simplified geometry Continuity (zero moment) Parallel velocity moment Energy balance ( second order moment ) Linear gyrokinetic equation in simplified geometry, B = B R / R ey
16 Normalizations, parallel and perpendicular time scales We are considering harmonic fluctuations exp( ik x  iω t ) Perpendicular motion characterisitc frequency is the drift frequency = / Parallel motion : = 4 Ions and electrons: same mobility perpendicular to the field line, very different mobility along the field line Parallel velocity moment ( parallel force balance ) Ions : inertia is dominant zero order, negligible parallel motion Electrons : parallel streaming is dominant adiabatic response
17 Parallel and perpendicular time scales, trapping Motion to B : Drift frequency Motion to B : = Passing particles Trapped particles (Mirror force due to B 1/R) & Ions: bounce time longer than the characteristic time zero order no difference between passing and trapped Electrons : many bounces in a characteristic time different behaviour between passing and trapped electrons
18 Passing electrons : adiabatic response Fast unconstrained motion parallel to B Parallel force balance for passing electrons Balance of dominant terms δn ep = or in nonnormalized form n ep e φ T e
19 Ions : continuity and energy balance Neglect parallel motion (strong inertia) = Continuity and energy balance ~ ~ Quasineutrality condition n = n Assuming (for the moment) that all electrons are passing ( more precisely adiabatic ), quasineutrality becomes we obtain a homogeneous system of three equations in three unknowns e i
20 Mechanism leading to instability We look for the eigenvalues of this homogeneous system Can be solved analytically (trivial) here we focus on the basic coupling mechanism leading to an instability
21 Mechanism leading to instability We look for the eigenvalues of this homogeneous system imaginary roots pure growing mode γ ^ =
22 Ion Temperature Gradient mode Initial Temperature perturbation e y ex B ^ T < Cold plasma T Hot plasma ^ T > ^ T < T Cold plasma
23 Ion Temperature Gradient mode curvature and B drift Initial Temperature perturbation Generates a density perturbation e y ex v D B Cold plasma T Hot plasma ^ T < ^ T > ^ T < ^ n > ^ n < ^ n > Cold plasma T
24 Ion Temperature Gradient mode curvature and B drift ExB flow advection Initial Temperature perturbation Generates a density perturbation Passing electrons neutralise the charge separation e y ex v D B Cold plasma T Hot plasma ^ T < ^ T > ^ T < ^ n > ^ n < ^ n > Cold plasma T  E +++
25 Ion Temperature Gradient mode curvature and B drift ExB flow advection Initial Temperature perturbation Generates a density perturbation Passing electrons neutralise the charge separation Parallel force balance implies an electrostatic potential, the ExB flow enhances the perturbation e y ex v D B Cold plasma T ^ T < v ExB v ExB n ^ >  ^ T > ^ E Hot n < ^ +++ T < plasma ^ n > Cold plasma T
26 Ion Temperature Gradient mode e y ex STABLE SIDE v ExB ^ T < ^ T > ^ T < Cold plasma T v D Hot plasma ^ T < B ^ T < ^ T > UNSTABLE SIDE T v ExB Cold plasma Low field side unstable ( bad curvature ) region : warm plasma moves in the warm regions High field side stable region (reversed temperature gradient) warm plasma moves in the cold regions
27 ITG : what we neglected up to now... Back to our simple fluid model By keeping all the terms, we would have found that the eigenvalues are not just imaginary, but complex numbers in which an imaginary part (an unstable mode) occurs provided that the normalized logarithmic temperature gradient R/LT exceeds a certain value (threshold) (otherwise only real roots)
28 ITG mode : the threshold The mode is stable for values of R/LT smaller than the threshold value 1 (R/LT critical ).8 The threshold value is not a universal number, but depends itself on plasma parameters γ [c s / R] In particular it increases with increasing T i / T e and for adiabatic electrons increases with increasing R/Ln ( η mode, η = L n / L T ) i i GS R/L Ti
29 ITG mode : the spectrum Simple (reduced) fluid model γ γ = ω D = k θ ρ s c s γ is an increasing linear function of the wave number γ [c s / R] ω r [c s / R] k θ ρ i GS2
30 ITG mode : the spectrum Simple (reduced) fluid model γ γ = ω D = k θ ρ s c s γ is an increasing linear function of the wave number Parallel dynamics and finite Larmor radius effects, which were neglected in the simple fluid model, modify significantly the spectrum γ [c s / R] ω r [c s / R] stabilized by parallel dynamics stabilized by FLR k θ ρ i GS2
31 Kinetic electrons Up to now we have considered only the ITG mode with adiabatic electrons The inclusion of the electron dynamics gives rise to other modes : the trapped electron mode ( TEM ) and the electron temperature gradient (ETG) mode For these modes similar simple models can be considered, as we made for the ITG, namely assuming now adiabatic ions In reality, all these modes can occur concurrently, although at different scales, and with different dependences on plasma parameters
32 TEM and ETG These are both electron instabilities ( driven by an electron temperature gradient above a critical threshold) The TEM instability can be considered as the analogous of the ITG instability, still at the ion Larmor radius scale, but where the slow (average) motion along the field line is caused by trapping rather than by inertia The ETG instability is the analogous of the ITG at the electron Larmor radius scale
33 Trapped electron mode (TEM) We have seen that the electron bounce time is small compared to the drift frequency Trapped particles (Mirror force due to B 1/R) & Bounce averaged parallel motion of trapped electrons is slow (similar to ions, for which the cause of slow parallel motion is inertia ) Trapped electrons therefore are not fast enough along the field line to ensure the adiabaticity condition A picture completely analogous to the ITG leads us to an instability whose drive is R/LTe
34 Trapped electron mode : density gradient drive This is not the end of the story When both fluctuations on the ion density and on the trapped electron density are present at the same time, another instability occurs in the presence of a density gradient, the R/Ln driven TEM ( ubiquitous mode ) With the simple fluid model, you can get a simple physical picture of this mode by considering the coupling mechanisms between the continuity equations of ion and trapped electron density fluctuations The instability arizes due to the fact that the vertical drift is in opposite directions for ions and electrons Also this instability involves a threshold, namely a critical logarithmic density gradient
35 Instability diagram, 1 or 2 modes can be unstable (Te = Ti, R/LTe = R/LTi) 1 5 R/L T ITG 1 root stable ITG & TEM 2 roots TEM 1 root R/L n Kinezero [ C. Bourdelle et al., NF 42, 892 (22) ] Typical values in experiments (no ITBs) at mid radius R/LT [4 7] in HMode, R/Ln [ 7], R/LTe [ 5 12] in Lmode In many exp. conditions, two modes are unstable
36 Instabilities at the different scales ITG / TEM & ETG Different instability domains and main drives Sources of free energy R/LTi, R/LTe, R/Ln instability drive k θρ i ITG destabilised by TEM R/L Ti R/L Te & pure ITG stabilised by R/L n R/L n stabilised by ei collisions {~ unaffected by collisions T / T e i ETG R/L Te stabilised by R/L n stabilised by ITG and TEM scale of the order of the ion Larmor radius ETG scale of the order of the electron Larmor radius T / T e i
37 TEMs are stabilised by collisions Since the TEM instability is due to the presence of trapped electrons, it is strongly affected by collisionality (mainly el.  ion collisions) Collisions produce trapping and detrapping processes, Coulomb diffusion in velocity space ( velocity pitchangle scattering ) Collisions are strongly stabilising, From simple model γ ω De ν ei ω De + and more effective on instabilities driven by temperature gradients γ [c i /R] R/L n = 6, R/L Te = 1 R/L = 1, n R/L = 1 Te GS2 τ = 2 ε =.16 R/L =.1 Ti ν [c ei i /R] ν ei /ωde
38 TURBULENCE and TRANSPORT 1 8 Q i [ GB ] GYRO time [a / c s]
39 From linear instabilities to turbulence Back to the gyrokinetic equation Up to now we neglected this term which describes the effect of the fluctuating potential on the perturbed distribution We were using a linear model ~ By including this term we introduce a nonlinearity, since φ depends on f through the Poisson equation, In addition we introduce toroidal mode coupling, since all toroidal modes are involved in this term This equation describes the development of a turbulent state Numerical codes (nonlinear fluid and kinetic codes) have been developed to compute this state ( movie GYRO shape.n16.mpg )
40 Turbulent transport Transport is produced by density and temperature fluctuations in the presence of a fluctuating electrostatic potential Γ This transport is usually called electrostatic or ExB transport. Electromagnetic effects can affect the electrostatic transport through effects on the fluctuating quantities Magnetic fluctuations (fluctuations of the magnetic field) can also produce transport, usually called magnetic flutter, due to the radial component of the fluctuating magnetic field. In many conditions, this contribution is small and we shall not discuss it here
41 Nonlinear spectrum vs linear spectrum Nonlinear transfer through mode coupling implies that the nonlinear spectrum is different from the linear one Scales which provide the largest contribution to transport are not those which correspond to the most unstable linear modes q i [ GB ] time [ a / c s ] fractional contribution per mode k θ ρ s linear phase nonlinear phase
42 Nonlinear spectrum vs linear spectrum Nonlinear transfer through mode coupling implies that the nonlinear spectrum is different from the linear one Scales which provide the largest contribution to transport are not those which correspond to the most unstable linear modes q i [ GB ] time [ a / c s ] fractional contribution per mode.25 1 linear phase nonlinear phase k θ ρ s
43 Fluxes in the velocity space Ion fluxes: both passing and trapped ions contribute to transport Electron fluxes: trapped electrons make almost all the transport 5 x 1 4 Ion heat flux 15 x 1 5 Electron heat flux trapped 1 5 trapped λ 1.5 passing E / T i 4 λ = λ V / V B / B 1 passing E / T e 4 5
44 Quasilinear estimates, phase relations What is relevant for transport is the phase relation between the fluctuation in the transported quantity and the fluctuation in the electrostatic potential e.g. for particle transport n ~ v ~ Γ E n ik yφ k k k B This quantity can be computed also within linear theory, by φ means of the (complex) linear relationship between n k and k n φ k Z k k Often in core transport the nonlinear state does not change significantly the linear phase relationships (ratio of transport channels often well estimated by linear theory ) The nonlinear saturation amplitude is more difficult to be properly described by a mixing length model, in any case... This allowed the successful development of quasilinear transport models for core transport, and many comparisons with experiments ( nonlinear runs are still very heavy in terms of computer time ) 2 φ k
45 GyroBohm units, scaling of transport The natural scaling of transport can be obtained by building a diffusivity given by a displacement by one Larmor radius in the time of one inverse growth rate ρ and γ ~ c s D ρ 2 γ s R s = c s Ω c D c s Ω c This scaling is called gyrobohm. It is the natural scaling of local transport, derived from the dimensionless form of the equations The name gyrobohm shows that it is given by the Bohm diffusion reduced by one normalized gyroradius Bohm diffusion is given by a displacement of one Larmor radius in a time of the order of one gyroperiod m 1/2 T 3/2 1 D B ρ s 2 Ωc = = T e B ρ D D s GB = B = a e B a where a is a characteristic length ( major / minor radius or a gradient length ) R
46 Scaling of transport, profile stiffness The gyrobohm transport increases strongly with temperature Q n = T χ T T Q n = χ^ χ GB ρ χ D s GB = B = a The dimensionless parameter S describes how steep the heat flux increases with increasing log. temperature gradient ( R R S T = R L T L Tcrit χ^ ( χ^ m 1/2 T 3/2 2 2 a e B Q n R Stiff 1 m 1/2 T 5/2 2 2 S 2 e B ( R L T R L Tcrit Nonstiff ( Due to the gyrobohm scaling, the hotter a plasma is, the stiffer it becomes ( in a reactor, plasma profiles will be very stiff ) R L T
47 MAIN STABILIZATION MECHANISMS GEOMETRY (magnetic shear) ROTATION (ExB velocity shear)
48 Magnetic shear Magnetic shear is due to the different winding numbers of the field lines ( safety factor profile is not constant ) s =.1 It has a strong effect since the instabilities are field aligned due to the fast parallel motion It leads to a deformation of the structures s = 1.
49 Negative shear provides strong stabilisation Negative shear tilts the eddies in such a way that the drive is reduced Maximum transport for s ~.5 s = s > s < χ GB R/LT = 9 D χ i χe χ i R/Ln = 1.5 R/Ln = 4.5 χ GB Turbulence stabilisation by negative shear is observed in exps to allow the development of transport barriers, namely of very large local values of R/LT (particularly in the electron channel) D .5. χ e GYRO, Kinsey PoP s
50 Turbulence stabilisation by sheared flows Various mechanisms can lead to the development of a profile of the radial electric field which is not constant along the minor radius (e.g. strong toroidal rotation profile due to beam torque in the core, fast ion losses in the edge, etc... ) Then an E x B rotation (mainly Er x Bt ) is produced which is not constant along the minor radius, namely a sheared rotation (sheared flow is a velocity field with a radial gradient, the radial gradient of a velocity has the dimension of a frequency, and is called shearing rate) By the presence of a sheared rotation, eddies get tilted and ripped apart, leading to turbulence suppression movie GYRO d3d.n16.2x_.6.mpg
51 General conclusions and outlook Theory of turbulent transport has made impressive progresses in the last decades and is able today to explain qualitatively ( sometimes quantitatively ) a big part of the phenomenology Some big challenges still remain Interaction among different scales ( electron Larmor radius, ion Larmor radius, and MHD mesoscales ) Global simulations without any assumption on the plasma equilibrium (full f models) Transport problem within a full gyrokinetic approach (prediction of plasma profiles from the imposed fluxes ) The phenomenology linked to the (edge) transport barrier formation ( in particular the L  H transition ) remains the most important observation still to be explained by theory Theory is the only way we have to build a reliable predictive capability
52 Review papers This is a short list of review papers and a book where you can find more informations and lists of references to more specific papers W. Horton, "Drift Waves and Transport" Review of Modern Physics 71, (1999) J. Weiland, "Collective Modes in Inhomogeneous Plasmas", Institute of Physics Pub. (1999), ISBN13: X. Garbet et al,"physics of transport in tokamaks" Plasma Phys. Control. Fusion 46, B557B574 (24) E.J. Doyle et al, "Plasma confinement and transport", in "Progress in the ITER Physics Basis" Nucl. Fusion 47, S18S127 (27) Movies presented in this talk come from the General Atomics GYRO code webpage:
DPG School The Physics of ITER Physikzentrum Bad Honnef, Energy Transport, Theory (and Experiment) Clemente Angioni
MaxPlanckInstitut für Plasmaphysik DPG School The Physics of ITER Physikzentrum Bad Honnef, 23.09.2014 Energy Transport, Theory (and Experiment) Clemente Angioni Special acknowledgments for material
More informationGyrokinetic Transport Driven by Energetic Particle Modes
Gyrokinetic Transport Driven by Energetic Particle Modes by Eric Bass (General Atomics) Collaborators: Ron Waltz, Ming Chu GSEP Workshop General Atomics August 10, 2009 Outline I. Background Alfvén (TAE/EPM)
More informationGyrokinetic simulations including the centrifugal force in a strongly rotating tokamak plasma
Gyrokinetic simulations including the centrifugal force in a strongly rotating tokamak plasma F.J. Casson, A.G. Peeters, Y. Camenen, W.A. Hornsby, A.P. Snodin, D. Strintzi, G.Szepesi CCFE Turbsim, July
More informationBounceaveraged gyrokinetic simulations of trapped electron turbulence in elongated tokamak plasmas
Bounceaveraged gyrokinetic simulations of trapped electron turbulence in elongated tokamak plasmas Lei Qi a, Jaemin Kwon a, T. S. Hahm a,b and Sumin Yi a a National Fusion Research Institute (NFRI), Daejeon,
More informationGyrokinetic Theory and Dynamics of the Tokamak Edge
ASDEX Upgrade Gyrokinetic Theory and Dynamics of the Tokamak Edge B. Scott Max Planck Institut für Plasmaphysik D85748 Garching, Germany PET15, Sep 2015 these slides: basic processes in the dynamics
More informationNeoclassical transport
Neoclassical transport Dr Ben Dudson Department of Physics, University of York Heslington, York YO10 5DD, UK 28 th January 2013 Dr Ben Dudson Magnetic Confinement Fusion (1 of 19) Last time Toroidal devices
More informationInternational Workshop on the Frontiers of Modern Plasma Physics July On the Nature of Plasma Core Turbulence.
195343 International Workshop on the Frontiers of Modern Plasma Physics 1425 July 2008 On the Nature of Plasma Core Turbulence. F. Jenko MaxPlanck Institute fuer Plasmaphysik Garching bei Munchen Germany
More informationLowcollisionality densitypeaking in GYRO simulations of CMod plasmas
Lowcollisionality densitypeaking in GYRO simulations of CMod plasmas D. R. Mikkelsen, M. Bitter, K. Hill, PPPL M. Greenwald, J.W. Hughes, J. Rice, MIT J. Candy, R. Waltz, General Atomics APS Division
More informationMicrotearing Simulations in the Madison Symmetric Torus
Microtearing Simulations in the Madison Symmetric Torus D. Carmody, P.W. Terry, M.J. Pueschel  University of Wisconsin  Madison dcarmody@wisc.edu APS DPP 22 Overview PPCD discharges in MST have lower
More informationSize Scaling and Nondiffusive Features of Electron Heat Transport in MultiScale Turbulence
Size Scaling and Nondiffusive Features of Electron Heat Transport in MultiScale Turbulence Z. Lin 1, Y. Xiao 1, W. J. Deng 1, I. Holod 1, C. Kamath, S. Klasky 3, Z. X. Wang 1, and H. S. Zhang 4,1 1 University
More informationTurbulence in Tokamak Plasmas
ASDEX Upgrade Turbulence in Tokamak Plasmas basic properties and typical results B. Scott Max Planck Institut für Plasmaphysik Euratom Association D85748 Garching, Germany Uni Innsbruck, Nov 2011 Basics
More informationGyrokinetic Simulations of Tokamak Microturbulence
Gyrokinetic Simulations of Tokamak Microturbulence W Dorland, Imperial College, London With key contributions from: S C Cowley F Jenko G W Hammett D Mikkelsen B N Rogers C Bourdelle W M Nevins D W Ross
More informationMechanisms of intrinsic toroidal rotation tested against ASDEX Upgrade observations
Mechanisms of intrinsic toroidal rotation tested against ASDEX Upgrade observations William A. Hornsby C. Angioni, E. Fable, P. Manas, R. McDermott, Z.X. Lu, S. Grosshauser 2, A. G. Peeters 2 and the ASDEX
More informationTowards Multiscale Gyrokinetic Simulations of ITERlike Plasmas
Frank Jenko MaxPlanckInstitut für Plasmaphysik, Garching Universität Ulm Towards Multiscale Gyrokinetic Simulations of ITERlike Plasmas 23 rd IAEA Fusion Energy Conference 1116 October 2010, Daejeon,
More informationTRANSPORT PROGRAM CMOD 5 YEAR REVIEW MAY, 2003 PRESENTED BY MARTIN GREENWALD MIT PLASMA SCIENCE & FUSION CENTER
TRANSPORT PROGRAM CMod CMOD 5 YEAR REVIEW MAY, 2003 PRESENTED BY MARTIN GREENWALD MIT PLASMA SCIENCE & FUSION CENTER CMOD  OPPORTUNITIES AND CHALLENGES Prediction and control are the ultimate goals
More informationGyrokinetic simulations of magnetic fusion plasmas
Gyrokinetic simulations of magnetic fusion plasmas Tutorial 2 Virginie Grandgirard CEA/DSM/IRFM, Association EuratomCEA, Cadarache, 13108 St PaullezDurance, France. email: virginie.grandgirard@cea.fr
More information0 Magnetically Confined Plasma
0 Magnetically Confined Plasma 0.1 Particle Motion in Prescribed Fields The equation of motion for species s (= e, i) is written as d v ( s m s dt = q s E + vs B). The motion in a constant magnetic field
More informationGTC Simulation of Turbulence and Transport in Tokamak Plasmas
GTC Simulation of Turbulence and Transport in Tokamak Plasmas Z. Lin University it of California, i Irvine, CA 92697, USA and GPSTTBP Team Supported by SciDAC GPSTTBP, GSEP & CPES Motivation Firstprinciples
More informationMultiscale turbulence, electron transport, and Zonal Flows in DIIID
Multiscale turbulence, electron transport, and Zonal Flows in DIIID L. Schmitz1 with C. Holland2, T.L. Rhodes1, G. Wang1, J.C. Hillesheim1, A.E. White3, W. A. Peebles1, J. DeBoo4, G.R. McKee5, J. DeGrassie4,
More informationMagnetically Confined Fusion: Transport in the core and in the Scrape off Layer Bogdan Hnat
Magnetically Confined Fusion: Transport in the core and in the Scrape off Layer ogdan Hnat Joe Dewhurst, David Higgins, Steve Gallagher, James Robinson and Paula Copil Fusion Reaction H + 3 H 4 He + n
More informationProgressing Performance Tokamak Core Physics. Marco Wischmeier MaxPlanckInstitut für Plasmaphysik Garching marco.wischmeier at ipp.mpg.
Progressing Performance Tokamak Core Physics Marco Wischmeier MaxPlanckInstitut für Plasmaphysik 85748 Garching marco.wischmeier at ipp.mpg.de Joint ICTPIAEA College on Advanced Plasma Physics, Triest,
More informationElectron Transport and Improved Confinement on Tore Supra
Electron Transport and Improved Confinement on Tore Supra G. T. Hoang, C. Bourdelle, X. Garbet, T. Aniel, G. Giruzzi, M. Ottaviani. Association EURATOMCEA. CEACadarache, 38, St PaullezDurance, France
More informationGyrokinetics an efficient framework for studying turbulence and reconnection in magnetized plasmas
Frank Jenko Gyrokinetics an efficient framework for studying turbulence and reconnection in magnetized plasmas MaxPlanckInstitut für Plasmaphysik, Garching Workshop on VlasovMaxwell Kinetics WPI, Vienna,
More informationGyrokinetic Turbulence in Tokamaks and Stellarators
Gyrokinetic Turbulence in Tokamaks and Stellarators Frank Jenko IPP, Germany Acknowledgements: P. Xanthopoulos, F. Merz, T. Görler, M. Pueschel, D. Told; A. Boozer, G. Hammett, D. Mikkelsen, M. Zarnstorff,
More informationGlobal Nonlinear Simulations of Ion and Electron Turbulence Usintg a ParticleInCell Approach
Global Nonlinear Simulations of Ion and Electron Turbulence Usintg a ParticleInCell Approach S. Jolliet 1), B. F. McMillan 1), T. M. Tran 1), X. Lapillonne 1), L. Villard 1), A. Bottino 2), P. Angelino
More informationAdvances in stellarator gyrokinetics
Advances in stellarator gyrokinetics Per Helander and T. Bird, F. Jenko, R. Kleiber, G.G. Plunk, J.H.E. Proll, J. Riemann, P. Xanthopoulos 1 Background Wendelstein 7X will start experiments in 2015 optimised
More informationPlasma instabilities. Dr Ben Dudson, University of York 1 / 37
Plasma instabilities Dr Ben Dudson, University of York 1 / 37 Previously... Plasma configurations and equilibrium Linear machines, and Stellarators Ideal MHD and the GradShafranov equation Collisional
More informationEntropy evolution and dissipation in collisionless particleincell gyrokinetic simulations
MaxPlanckInsititut für Plasmaphysik Entropy evolution and dissipation in collisionless particleincell gyrokinetic simulations A. Bottino Objectives Develop a numerical tool able to reproduce and predict
More informationThe gyrokinetic turbulence code GENE  Numerics and applications
Contributors: T. Dannert (1), F. Jenko (1),F. Merz (1), D. Told (1), X. Lapillonne (2), S. Brunner (2), and others T. Görler (1) The gyrokinetic turbulence code GENE  Numerics and applications (1) MaxPlanckInstitut
More informationInvestigation of Intrinsic Rotation Dependencies in Alcator CMod
Investigation of Intrinsic Rotation Dependencies in Alcator CMod D. Kwak, A. E. White, J. E. Rice, N. T. Howard, C. Gao, M. L. Reinke, M. Greenwald, C. Angioni, R. M. McDermott, and the CMod and ASDEX
More informationGlobal gyrokinetic particle simulations with kinetic electrons
IOP PUBLISHING Plasma Phys. Control. Fusion 49 (2007) B163 B172 PLASMA PHYSICS AND CONTROLLED FUSION doi:10.1088/07413335/49/12b/s15 Global gyrokinetic particle simulations with kinetic electrons Z Lin,
More informationMultiscale, multiphysics modeling of turbulent transport and heating in collisionless, magnetized plasmas
Multiscale, multiphysics modeling of turbulent transport and heating in collisionless, magnetized plasmas Michael Barnes Plasma Science & Fusion Center Massachusetts Institute of Technology Collaborators:
More informationParticleincell simulations of electron transport from plasma turbulence: recent progress in gyrokinetic particle simulations of turbulent plasmas
Institute of Physics Publishing Journal of Physics: Conference Series 16 (25 16 24 doi:1.188/17426596/16/1/2 SciDAC 25 Particleincell simulations of electron transport from plasma turbulence: recent
More informationToroidal confinement devices
Toroidal confinement devices Dr Ben Dudson Department of Physics, University of York, Heslington, York YO10 5DD, UK 24 th January 2014 Dr Ben Dudson Magnetic Confinement Fusion (1 of 20) Last time... Power
More informationCoexistence and interference of multiple modes in plasma turbulence: Some recent GENE results
Coexistence and interference of multiple modes in plasma turbulence: Some recent GENE results Frank Jenko IPP Garching, Germany University of Ulm, Germany Acknowledgements: F. Merz, T. Görler, D. Told,
More informationNSTX. Investigation of electron gyroscale fluctuations in the National Spherical Torus Experiment. David Smith. Advisor: Ernesto Mazzucato
NSTX Supported by Investigation of electron gyroscale fluctuations in the National Spherical Torus Experiment David Smith Advisor: Ernesto Mazzucato Final public oral exam February 26, 2009 Investigation
More informationTurbulent Transport due to Kinetic Ballooning Modes in HighBeta Toroidal Plasmas
1 TH/P3 Turbulent Transport due to Kinetic allooning Modes in Higheta Toroidal Plasmas A. Ishizawa 1, S. Maeyama, T.H. Watanabe 1, H. Sugama 1 and N. Nakajima 1 1 National Institute for Fusion Science,
More informationAMSC 663 Project Proposal: Upgrade to the GSP Gyrokinetic Code
AMSC 663 Project Proposal: Upgrade to the GSP Gyrokinetic Code George Wilkie (gwilkie@umd.edu) Supervisor: William Dorland (bdorland@umd.edu) October 11, 2011 Abstract Simulations of turbulent plasma in
More informationTheory for Neoclassical Toroidal Plasma Viscosity in a Toroidally Symmetric Torus. K. C. Shaing
Theory for Neoclassical Toroidal Plasma Viscosity in a Toroidally Symmetric Torus K. C. Shaing Plasma and Space Science Center, and ISAPS, National Cheng Kung University, Tainan, Taiwan 70101, Republic
More informationdown distribution. The present study is dedicated to the transport of fast particles produced by usual core plasma microinstabilities, like ion temper
Gyrokinetic calculations of diffusive and convective transport of ff particles with a slowing down distribution function C. Angioni and A.G. Peeters y MaxPlanckInstitut für Plasmaphysik, IPPEURATOM
More informationProgress and Plans on Physics and Validation
Progress and Plans on Physics and Validation T.S. Hahm Princeton Plasma Physics Laboratory Princeton, New Jersey Momentum Transport Studies: Turbulence and Neoclassical Physics Role of Trapped Electrons
More informationCoarsegraining the electron distribution in turbulence simulations of tokamak plasmas
Coarsegraining the electron distribution in turbulence simulations of tokamak plasmas Yang Chen and Scott E. Parker University of Colorado at Boulder Gregory Rewoldt Princeton Plasma Physics Laboratory
More informationReduced Electron Thermal Transport in Low Collisionality Hmode Plasmas in DIIID and the Importance of Smallscale Turbulence
1 Reduced Electron Thermal Transport in Low Collisionality Hmode Plasmas in DIIID and the Importance of Smallscale Turbulence L. Schmitz, 1 C. Holland, 2 T.L. Rhodes, 1 G. Wang, 1 L. Zeng, 1 A.E. White,
More informationIntroduction to Plasma Physics
Introduction to Plasma Physics Hartmut Zohm MaxPlanckInstitut für Plasmaphysik 85748 Garching DPG Advanced Physics School The Physics of ITER Bad Honnef, 22.09.2014 A simplistic view on a Fusion Power
More informationMHDparticle simulations and collective alphaparticle transport: analysis of ITER scenarios and perspectives for integrated modelling
MHDparticle simulations and collective alphaparticle transport: analysis of ITER scenarios and perspectives for integrated modelling G. Vlad, S. Briguglio, G. Fogaccia, F. Zonca Associazione EuratomENEA
More informationTurbulence and Transport The Secrets of Magnetic Confinement
Turbulence and Transport The Secrets of Magnetic Confinement Presented by Martin Greenwald MIT Plasma Science & Fusion Center IAP January 2005 FUSION REACTIONS POWER THE STARS AND PRODUCE THE ELEMENTS
More informationFormation and Long Term Evolution of an Externally Driven Magnetic Island in Rotating Plasmas )
Formation and Long Term Evolution of an Externally Driven Magnetic Island in Rotating Plasmas ) Yasutomo ISHII and Andrei SMOLYAKOV 1) Japan Atomic Energy Agency, Ibaraki 3110102, Japan 1) University
More informationTransport Improvement Near Low Order Rational q Surfaces in DIII D
Transport Improvement Near Low Order Rational q Surfaces in DIII D M.E. Austin 1 With K.H. Burrell 2, R.E. Waltz 2, K.W. Gentle 1, E.J. Doyle 8, P. Gohil 2, C.M. Greenfield 2, R.J. Groebner 2, W.W. Heidbrink
More informationValidation Study of gyrokinetic simulation (GYRO) near the edge in Alcator CMod ohmic discharges
Validation Study of gyrokinetic simulation (GYRO) near the edge in Alcator CMod ohmic discharges C. Sung, A. E. White, N. T. Howard, D. Mikkelsen, C. Holland, J. Rice, M. Reinke, C. Gao, P. Ennever, M.
More informationCMod Transport Program
CMod Transport Program PAC 2006 Presented by Martin Greenwald MIT Plasma Science & Fusion Center 1/26/2006 Introduction Programmatic Focus Transport is a broad topic so where do we focus? Where CMod
More informationMechanisms for ITB Formation and Control in Alcator CMod Identified through Gyrokinetic Simulations of TEM Turbulence
th IAEA Fusion Energy Conference Vilamoura, Portugal, 16 November IAEACN116/TH/1 Mechanisms for ITB Formation and Control in Alcator CMod Identified through Gyrokinetic Simulations of TEM Turbulence
More informationITER Predictions Using the GYRO Verified and Experimentally Validated TGLF Transport Model
1 THC/33 ITER Predictions Using the GYRO Verified and Experimentally Validated TGLF Transport Model J.E. Kinsey, G.M. Staebler, J. Candy, and R.E. Waltz General Atomics, P.O. Box 8608, San Diego, California
More informationObservation of NeoClassical Ion Pinch in the Electric Tokamak*
1 EX/P629 Observation of NeoClassical Ion Pinch in the Electric Tokamak* R. J. Taylor, T. A. Carter, J.L. Gauvreau, P.A. Gourdain, A. Grossman, D. J. LaFonteese, D. C. Pace, L. W. Schmitz, A. E. White,
More informationSingle particle motion and trapped particles
Single particle motion and trapped particles Gyromotion of ions and electrons Drifts in electric fields Inhomogeneous magnetic fields Magnetic and general drift motions Trapped magnetospheric particles
More informationA THEORETICAL AND EXPERIMENTAL INVESTIGATION INTO ENERGY TRANSPORT IN HIGH TEMPERATURE TOKAMAK PLASMAS
A THEORETICAL AND EXPERIMENTAL INVESTIGATION INTO ENERGY TRANSPORT IN HIGH TEMPERATURE TOKAMAK PLASMAS Presented by D.P. SCHISSEL Presented to APS Centennial Meeting March 20 26, 1999 Atlanta, Georgia
More informationª 10 KeV. In 2XIIB and the tandem mirrors built to date, in which the plug radius R p. ª r Li
Axisymmetric Tandem Mirrors: Stabilization and Confinement Studies R. F. Post, T. K. Fowler*, R. Bulmer, J. Byers, D. Hua, L. Tung Lawrence Livermore National Laboratory *Consultant, Presenter This talk
More informationCritical gradient formula for toroidal electron temperature gradient modes
PHYSICS OF PLASMAS VOLUME 8, NUMBER 9 SEPTEMBER 2001 Critical gradient formula for toroidal electron temperature gradient modes F. Jenko, W. Dorland, a) and G. W. Hammett b) MaxPlanckInstitut für Plasmaphysik,
More informationOverview of Gyrokinetic Theory & Properties of ITG/TEM Instabilities
Overview of Gyrokinetic Theory & Properties of ITG/TEM Instabilities G. W. Hammett Princeton Plasma Physics Lab (PPPL) http://w3.pppl.gov/~hammett AST559: Plasma & Fluid Turbulence Dec. 5, 2011 (based
More informationTokamak Edge Turbulence background theory and computation
ASDEX Upgrade Tokamak Edge Turbulence background theory and computation B. Scott Max Planck Institut für Plasmaphysik Euratom Association D85748 Garching, Germany Krakow, Sep 2006 Outline Basic Concepts
More informationModeling of ELM Dynamics for ITER
Modeling of ELM Dynamics for ITER A.Y. PANKIN 1, G. BATEMAN 1, D.P. BRENNAN 2, A.H. KRITZ 1, S. KRUGER 3, P.B. SNYDER 4 and the NIMROD team 1 Lehigh University, 16 Memorial Drive East, Bethlehem, PA 18015
More informationOverview of Tokamak Rotation and Momentum Transport Phenomenology and Motivations
Overview of Tokamak Rotation and Momentum Transport Phenomenology and Motivations Lecture by: P.H. Diamond Notes by: C.J. Lee March 19, 2014 Abstract Toroidal rotation is a key part of the design of ITER
More informationIntroduction to Fusion Physics
Introduction to Fusion Physics Hartmut Zohm MaxPlanckInstitut für Plasmaphysik 85748 Garching DPG Advanced Physics School The Physics of ITER Bad Honnef, 22.09.2014 Energy from nuclear fusion Reduction
More informationDirect drive by cyclotron heating can explain spontaneous rotation in tokamaks
Direct drive by cyclotron heating can explain spontaneous rotation in tokamaks J. W. Van Dam and L.J. Zheng Institute for Fusion Studies University of Texas at Austin 12th USEU Transport Task Force Annual
More informationW.A. HOULBERG Oak Ridge National Lab., Oak Ridge, TN USA. M.C. ZARNSTORFF Princeton Plasma Plasma Physics Lab., Princeton, NJ USA
INTRINSICALLY STEADY STATE TOKAMAKS K.C. SHAING, A.Y. AYDEMIR, R.D. HAZELTINE Institute for Fusion Studies, The University of Texas at Austin, Austin TX 78712 USA W.A. HOULBERG Oak Ridge National Lab.,
More informationMagnetohydrodynamics (MHD) II
Magnetohydrodynamics (MHD) II YongSu Na National Fusion Research Center POSTECH, Korea, 810 May, 2006 Review I 1. What is confinement? Why is single particle motion approach required? 2. Fluid description
More informationValidation of Theoretical Models of Intrinsic Torque in DIIID and Projection to ITER by Dimensionless Scaling
Validation of Theoretical Models of Intrinsic Torque in DIIID and Projection to ITER by Dimensionless Scaling by B.A. Grierson1, C. Chrystal2, W.X. Wang1, J.A. Boedo3, J.S. degrassie2, W.M. Solomon2,
More informationObservation of Reduced Core Electron Temperature Fluctuations and Intermediate Wavenumber Density Fluctuations in H and QHmode Plasmas
Observation of Reduced Core Electron Temperature Fluctuations and Intermediate Wavenumber Density Fluctuations in H and QHmode Plasmas EX/P535 L. Schmitz 1), A.E. White 1), G. Wang 1), J.C. DeBoo 2),
More informationStudies of Turbulence and Transport in Alcator C Mod HMode Plasmas with Phase Contrast Imaging and Comparisons with GYRO*
Studies of Turbulence and Transport in C Mod HMode Plasmas with Phase Contrast Imaging and Comparisons with GYRO* M. Porkolab 1, L. Lin 1, E.M. Edlund 1, J.C. Rost 1, C.L. Fiore 1, M. Greenwald 1, Y.
More informationCMod Core Transport Program. Presented by Martin Greenwald CMod PAC Feb. 68, 2008 MIT Plasma Science & Fusion Center
CMod Core Transport Program Presented by Martin Greenwald CMod PAC Feb. 68, 2008 MIT Plasma Science & Fusion Center Practical Motivations for Transport Research Overall plasma behavior must be robustly
More informationChapter 5 MAGNETIZED PLASMAS. 5.1 Introduction. 5.2 Diamagnetic current
Chapter 5 MAGNETIZED PLASMAS 5.1 Introduction We are now in a position to study the behaviour of plasma in a magnetic field. In the first instance we will reexamine particle diffusion and mobility with
More informationInnovative Concepts Workshop Austin, Texas February 1315, 2006
Don Spong Oak Ridge National Laboratory Acknowledgements: Jeff Harris, Hideo Sugama, Shin Nishimura, Andrew Ware, Steve Hirshman, Wayne Houlberg, Jim Lyon Innovative Concepts Workshop Austin, Texas February
More informationFineScale Zonal Flow Suppression of Electron Temperature Gradient Turbulence
FineScale Zonal Flow Suppression of Electron Temperature Gradient Turbulence S.E. Parker, J.J. Kohut, Y. Chen, Z. Lin, F.L. Hinton and W.W. Lee Center for Integrated Plasma Studies, University of Colorado,
More informationTurbulent Transport Analysis of JET Hmode and Hybrid Plasmas using QuaLiKiz, TGLF and GLF23
EFDA JET CP(1)/ B. Baiocchi, J. Garcia, M. Beurkens, C. Bourdelle, F. Crisanti, C. Giroud, J. Hobirk, F. Imbeaux, I. Nunes, EUITM ITER Scenario Modelling group and JET EFDA contributors Turbulent Transport
More information1 THC/P401. Shear flow suppression of turbulent transport and selfconsistent profile evolution within a multiscale gyrokinetic framework
THC/P4 Shear flow suppression of turbulent transport and selfconsistent profile evolution within a multiscale gyrokinetic framework M. Barnes,2), F. I. Parra ), E. G. Highcock,2), A. A. Schekochihin
More informationWaterbag reduced gyrokinetic model for the study of the spatial structure of ITG instability linear modes
Waterbag reduced gyrokinetic model for the study of the spatial structure of ITG instability linear modes PhD work directed by N. Besse with invaluable input from P. Bertrand, E. Gravier, P. Morel,R.
More informationBursty Transport in Tokamaks with Internal Transport Barriers
Bursty Transport in Tokamaks with Internal Transport Barriers S. Benkadda 1), O. Agullo 1), P. Beyer 1), N. Bian 1), P. H. Diamond 3), C. Figarella 1), X. Garbet 2), P. Ghendrih 2), V. Grandgirard 1),
More informationGlobal particleincell simulations of Alfvénic modes
Global particleincell simulations of Alfvénic modes A. Mishchenko, R. Hatzky and A. Könies MaxPlanckInstitut für Plasmaphysik, EURATOMAssociation, D749 Greifswald, Germany Rechenzentrum der MaxPlanckGesellschaft
More informationEnergeticIonDriven MHD Instab. & Transport: Simulation Methods, V&V and Predictions
EnergeticIonDriven MHD Instab. & Transport: Simulation Methods, V&V and Predictions 7th APTWG Intl. Conference 58 June 2017 Nagoya Univ., Nagoya, Japan Andreas Bierwage, Yasushi Todo 14.1MeV 10 kev
More informationStability of a plasma confined in a dipole field
PHYSICS OF PLASMAS VOLUME 5, NUMBER 10 OCTOBER 1998 Stability of a plasma confined in a dipole field Plasma Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 Received
More informationSimple examples of MHD equilibria
Department of Physics Seminar. grade: Nuclear engineering Simple examples of MHD equilibria Author: Ingrid Vavtar Mentor: prof. ddr. Tomaž Gyergyek Ljubljana, 017 Summary: In this seminar paper I will
More informationCharacteristics of the Hmode H and Extrapolation to ITER
Characteristics of the Hmode H Pedestal and Extrapolation to ITER The Hmode Pedestal Study Group of the International Tokamak Physics Activity presented by T.Osborne 19th IAEA Fusion Energy Conference
More informationITR/P119 Tokamak Experiments to Study the Parametric Dependences of Momentum Transport
Tokamak Experiments to Study the Parametric Dependences of Momentum Transport T. Tala 1, R.M. McDermott 2, J.E. Rice 3, A. Salmi 1, W. Solomon 4, C. Angioni 2, C. Gao 3, C. Giroud 5, W. Guttenfelder 4,
More informationEdge Momentum Transport by Neutrals
1 TH/P318 Edge Momentum Transport by Neutrals J.T. Omotani 1, S.L. Newton 1,2, I. Pusztai 1 and T. Fülöp 1 1 Department of Physics, Chalmers University of Technology, 41296 Gothenburg, Sweden 2 CCFE,
More informationEdge Rotational Shear Requirements for the Edge Harmonic Oscillation in DIII D Quiescent H mode Plasmas
Edge Rotational Shear Requirements for the Edge Harmonic Oscillation in DIII D Quiescent H mode Plasmas by T.M. Wilks 1 with A. Garofalo 2, K.H. Burrell 2, Xi. Chen 2, P.H. Diamond 3, Z.B. Guo 3, X. Xu
More informationOn the Nature of ETG Turbulence and CrossScale Coupling
J. Plasma Fusion Res. SERIES, Vol. Vol. 6 6 (2004) (2004) 11 16 000 000 On the Nature of ETG Turbulence and CrossScale Coupling JENKO Frank MaxPlanckInstitut für Plasmaphysik, EURATOMAssociation, D85748
More informationRotation and Neoclassical Ripple Transport in ITER
Rotation and Neoclassical Ripple Transport in ITER Elizabeth J. Paul 1 Matt Landreman 1 Francesca Poli 2 Don Spong 3 Håkan Smith 4 William Dorland 1 1 University of Maryland 2 Princeton Plasma Physics
More informationInterlinkage of transports and its bridging mechanism
Interlinkage of transports and its bridging mechanism Katsumi Ida National Institute for Fusion Science 17 th International Toki Conference 1519 October 27, Toki OUTLINE 1 Introduction 2 particle pinch
More informationGyrokinetic Turbulence Simulations at High Plasma Beta
Gyrokinetic Turbulence Simulations at High Plasma Beta Moritz J. Pueschel Thanks to F. Jenko and M. Kammerer Ringberg Theory Meeting, Nov. 18, 2008 1 Motivation 2 3 The Beta Parameter Definition β β e
More informationEffects of Alpha Particle Transport Driven by Alfvénic Instabilities on Proposed Burning Plasma Scenarios on ITER
Effects of Alpha Particle Transport Driven by Alfvénic Instabilities on Proposed Burning Plasma Scenarios on ITER G. Vlad, S. Briguglio, G. Fogaccia, F. Zonca Associazione EuratomENEA sulla Fusione, C.R.
More informationDIAGNOSTICS FOR ADVANCED TOKAMAK RESEARCH
DIAGNOSTICS FOR ADVANCED TOKAMAK RESEARCH by K.H. Burrell Presented at High Temperature Plasma Diagnostics 2 Conference Tucson, Arizona June 19 22, 2 134 /KHB/wj ROLE OF DIAGNOSTICS IN ADVANCED TOKAMAK
More informationA Dimensionless Criterion for Characterising Internal Transport Barriers in JET
EFDA JET PR(00)09 G Tresset et al A Dimensionless Criterion for Characterising Internal Transport Barriers in JET This document is intended for publication in the open literature. It is made available
More informationNumKin, Strasbourg, October 17 th, 2016
F. Palermo 1 A.Biancalani 1, C.Angioni 1, F.Zonca 2, A.Bottino 1, B.Scott 1, G.D.Conway 1, E.Poli 1 1 Max Planck Institut für Plasmaphysik, Garching, Germany 2 ENEA C. R. Frascati  Via E. Fermi 45, CP
More informationin tokamak plasmas Istvan Pusztai 1 Jeff Candy 2 Punit Gohil 2
Isotope mass and charge effects in tokamak plasmas Istvan Pusztai 1 Jeff Candy 2 Punit Gohil 2 (1) Chalmers University of Technology, Applied Physics, SE412 96, Göteborg, Sweden (2) General Atomics, P.O.
More informationConfinement of toroidal nonneutral plasma
10th International Workshop on Nonneutral Plasmas 28 August 2012, Greifswald, Germany 1/20 Confinement of toroidal nonneutral plasma in magnetic dipole RT1: Magnetospheric plasma experiment Visualized
More informationNonperturbative statistical theory of intermittency in ITG drift wave turbulence with zonal flows
Nonperturbative statistical theory of intermittency in ITG drift wave turbulence with zonal flows Johan Anderson 1 and Eunjin Kim University of Sheffield Department of Applied Mathematics Hicks Building,
More informationCore Transport Properties in JT60U and JET Identity Plasmas
1 EXC/P412 Core Transport Properties in JT60U and JET Identity Plasmas X. Litaudon 1, Y. Sakamoto 2, P.C. de Vries 3, A. Salmi 4, T. Tala 5, C. Angioni 6, S. Benkadda 7, M.N.A. Beurskens 8, C. Bourdelle
More informationHeat Transport in a Stochastic Magnetic Field. John Sarff Physics Dept, UWMadison
Heat Transport in a Stochastic Magnetic Field John Sarff Physics Dept, UWMadison CMPD & CMSO Winter School UCLA Jan 510, 2009 Magnetic perturbations can destroy the nestedsurface topology desired for
More informationUnderstanding physics issues of relevance to ITER
Understanding physics issues of relevance to ITER presented by P. Mantica IFPCNR, Euratom/ENEACNR Association, Milano, Italy on behalf of contributors to the EFDAJET Work Programme Brief summary of
More informationCoupled radiusenergy turbulent transport of alpha particles
Coupled radiusenergy turbulent transport of alpha particles George Wilkie, Matt Landreman, Ian Abel, William Dorland 24 July 2015 Plasma kinetics working group WPI, Vienna Wilkie (Maryland) Coupled transport
More informationRole of Zonal Flows in TEM Turbulence through Nonlinear Gyrokinetic Particle and Continuum Simulation
22 nd IAEA Fusion Energy Conference Geneva, Switzerland, 38 October 2008 IAEACN65/TH/P839 Role of Zonal Flows in TEM Turbulence through Nonlinear Gyrokinetic Particle and Continuum Simulation D. R.
More information