Density Peaking At Low Collisionality on Alcator C-Mod
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1 Density Peaking At Low Collisionality on Alcator C-Mod APS-DPP Meeting Philadelphia, 10/31/2006 M. Greenwald, D. Ernst, A. Hubbard, J.W. Hughes, Y. Lin, J. Terry, S. Wukitch, K. Zhurovich, Alcator Group
2 Collisionality Effects on Density Profile ITER interest better fusion performance with moderate density peaking ASDEX-U H-Modes Results from ASDEX, JET suggest increase in density peaking at low ν* (note plots use ν eff = ν ei /ν De not ν*) Much of the previous work has significant beam fueling (C-Mod uses RF only) ASDEX-U: C. Angioni et al., PRL (2003) JET: H. Weisen, et al., NF (2005)
3 Collisionality Effects on Density Profile ITER interest better fusion performance with moderate density peaking ASDEX-U H-Modes Results from ASDEX, JET suggest increase in density peaking at low ν* (note plots use ν eff = ν ei /ν De not ν*) Much of the previous work has significant beam fueling (C-Mod uses RF only) Until recently, C-Mod density was too high to enter the very low ν* regime. Typical C-Mod H-modes
4 Low Density H-Modes Accessible With Unusual Shape With this shape, large ELMs appear in C-Mod for first time (Terry APS GI ) n/n G = 0.3, ν eff = 0.33, ν ei τ E ~ 10
5 H-Mode In Standard C-Mod Shape EDA (QC mode) and small ELMs n/n G = 0.66, ν eff = 1.5, ν ei τ E ~ 40 (2x, 5x, 4x lower density H-mode respectively)
6 Lower Density H-Modes Show More Profile Peaking We don t know why these shapes allow operational H-mode at lower target densities Lower L-H threshold density ELMs seem to reduce rate of density rise in H-mode Whatever the cause: Standard H-mode n e0 /<n e > = L n >> a, R/L n ~ 0, R/L T ~ 6-7 Low-Density H-mode n e0 /<n e > = 1.5 R/L n ~ 3-4, R/L T ~ 6-7
7 Difference In Profile Shape Is Notable Peaking is seen over outer 60% of plasma radius H-mode profiles evolve quickly; τ << a/v WARE
8 Difference In Profile Shape Is Notable Peaking is seen over outer 60% of plasma radius H-mode profiles evolve quickly; τ << a/v WARE Transport in center of plasma may be affected by sawteeth These are of large amplitude; δt e /T e ~ 25% Sawtooth Inversion Radius
9 Difference In Profile Shape Is Notable Peaking is seen over outer 60% of plasma radius H-mode profiles evolve quickly; τ << a/v WARE Transport in center of plasma may be affected by sawteeth These are of large amplitude; δt e /T e ~ 25% Radii chosen to characterize peaking in ASDEX-U are appropriate for C-Mod profiles r/a = 0.4 r/a = 0.8
10 Difference In Profile Shape Is Notable Peaking is seen over outer 60% of plasma radius H-mode profiles evolve quickly; τ << a/v WARE Transport in center of plasma may be affected by sawteeth These are of large amplitude; δt e /T e ~ 25% Radii chosen to characterize peaking in ASDEX-U are appropriate for C-Mod profiles r/a = 0.4 r/a = 0.8 So, collect a database and plot results.
11 Trend Of Increased Density Peaking At Low Collisionality Is Observed For ICRF Heated H-Modes In C-Mod
12 Trend Of Increased Density Peaking At Low Collisionality Is Observed For ICRF Heated H-Modes In C-Mod Standard Shape
13 Trend Of Increased Density Peaking At Low Collisionality Is Observed For ICRF Heated H-Modes In C-Mod New Shape Standard Shape
14 Trend Of Increased Density Peaking At Low Collisionality Is Observed For ICRF Heated H-Modes In C-Mod LHCD (L-Mode with V S ~ 0; V Ware very small) New Shape Standard Shape
15 C-Mod Data Overlays ASDEX-U Angioni PRL 2003 C-Mod
16 Same With Respect To JET Data. Weisen NF 2005 C-Mod
17 Same With Respect To JET Data. Weisen NF 2005 C-Mod ITER
18 n/n G Is Apparently Not A Good Scaling Parameter For Comparing C-Mod and JET Peaking Note horizontal separation of data sets C-Mod JET data from Weisen PPCF 2006 n/n G
19 n/n G Is Apparently Not A Good Scaling Parameter For Comparing C-Mod and JET Peaking Note horizontal separation of data sets ITER C-Mod JET data from Weisen PPCF 2006 n/n G
20 State Of Theory Is Not Yet Adequate To Explain These Results ITG/TEM turbulence can predict inward particle flux in the collisionless limit (Quasi-linear calculations: Angioni, Phys. Plasmas 12, , 2005) Thermodiffusion mechanism (Coppi, PRL 41, 551,1978) Driven by T i, for R/L T > R/L n Pinch disappears at higher collisionality Depends on relative strength of ITG and TEM (L T, η, ν, T e /T i ) However: collisionality range with density peaking is predicted to be about 30 x smaller than what is seen in experiments Nonlinear GK simulations see pinch at experimentally realistic ν eff, but only by lowering L n /L T (Estrada-Milna, Phys. Plasmas , 2005)
21 Summary Significant density profile peaking seen at low collisionality Trend and values match data from ASDEX-U and JET Lack of NBI fueling does not affect result Lack of Ware pinch does not affect result Result holds for Ti ~ Te Work extended to higher neutral opacity (ITER-like) Addition of C-Mod data suggest that ν eff is appropriate scaling variable rather than n/n G (These are strongly correlated, especially on any given machine) Good news for ITER Effect of shaping? Installation of cryopump and increased LH power will allow substantial extension of this work.
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