Three-dimensional nature of magnetic reconnection X-line in asymmetric current sheets

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Blue Waters symposium 2017 Three-dimensional nature of magnetic reconnection X-line in asymmetric current sheets Yi-Hsin Liu @ NASA- Goddard Space Flight Center William Daughton @ Los Alamos National Lab Michael Hesse @ U. Bergen, Norway Ari Le @ Los Alamos National Lab

Blue Waters symposium 2017 Three-dimensional nature of magnetic reconnection in plasmas Yi-Hsin Liu @ NASA- Goddard Space Flight Center William Daughton @ Los Alamos National Lab Michael Hesse @ U. Bergen, Norway Ari Le @ Los Alamos National Lab

Key Challenge & Why it matters?

Plasma Lamp Plasmas 4th state of matter > 99% of visible universe Fusion device Lighting Aurora Borealis Solar Eruption Nebula Interaction between lots n of charge particles + electromagnetic fields -- complicated & nonlinear!! Long range electromagnetic interaction!! -- the evolution CANNOT be described by thermodynamics.

Introduction to magnetic reconnection Earth -- Solar Eruption x-line (Observation of SDO mission) B~200 Gauss T~3,000,000 K (Courtesy of NASA) Energy up to 10 32 ergs is released in ~ 20 mins -- 40 billion atomic bombs! Matter up to 10 10 tons is erupted.

Magnetic Reconnection? inflow outflow J outflow z x inflow 1. Inflow brings in magnetic flux 2. Field lines break & reconnect 3. Reconnected field line shoots out plasma 4. Pressure drop sucks in plasma inflow 1. Inflow brings in magnetic flux 2.... 3.... A self-driven process!!! X-line field line acts like slingshot

Earth s magnetosphere IMF (Interplanetary Magnetic Field) Reconnection occurs at both the magnetopause & magnetotail. Reconnection at the magnetotail drives magnetospheric substorm & causes aurora. Space Weather: a strong geomagnetic storm could do damage to satellites, astronauts, GPS system, power grids on Earth,...etc (e.g.,1859, 1989 Quebec blackout)

A billion $ NASA mission designed to study magnetic reconnection Magnetospheric Multiscale Mission (MMS) March 12, 2015 ATLAS rocket http://mms.gsfc.nasa.gov tight tetrahedron formation: separation down to 7 km! 100x faster for electrons measurement (30 ms) 30x faster for ions measurement (150 ms) @ Kennedy Center, FL MMS leads us into a stage where the 3D electron-scale structure of magnetic reconnection, in nature, can be measured in an unprecedented manner.

Why Blue Waters? & Our accomplishments to date

Particle-in-cell Simulations Lorentz Force (E, B, J, ρ) (v, x) F = q(e + v B) Maxwell Equation Pro: A first-principle description with rich kinetic physics being captured Con: It demands considerable computational resource,especially for 3D systems (Challenge!)

Progress of Particle-in-Cell simulations Courtesy to W. Daughton Resource required for a typical run in our BW project: ~2 trillion particles; ~ 6 billion cells; ~12 million core-hours; ~ 260 K cores; ~200 TB output (including restart files)

Q: What is the 3D nature of magnetic reconnection?? -- how it differs from the conventional 2D picture

An example 3D simulation (current density) J/J0 V out V out Distinct 3D features, including flux ropes. kink instability. turbulence. (Previous BW results. Guo, Li, Daughton, Liu, PRL 2014 Guo, Liu, Daughton, Li, APJ 2015)

3D nature of reconnection X-line Q: What determines the orientation of x-line?? Hypothesis: the system may tend to maximize -- the magnetic energy conversion rate.? -- the outflow speed.? -- or?? An oblique 2D plane 3D case (current density) J 2 Simulation on BW provides a first-principle test! 64d i 1.2 0.4 z x x-line 16di -y 64d i

Result I: X-line Orientation J y (current density) B z (reconnected field) x-line 13 13 V (electron outflow) ex V ix x-line (ion outflow) jet front 256di 13 V out 13 V out y x 256d i A well-defined x-line orientation develops.

Result II: Extent and expansion of reconnection x-line in the magnetopause geometry (3D view using ParaView) expanding speed? Q: How does the x-line expand? what is the expanding speed? --- Knowing the length of x-line is crucial for estimating the entry rate of solar wind plasmas into Earth s magnetosphere.

Result III: Extent and expansion of reconnection x-line in the magnetotail geometry V out dawn dusk B V out localized x-line Q: Is there a limited x-line extent in the tail geometry? -- Relevant to the formation of Bursty Bulk Flows (BBFs) often observed at Earth s magnetotail.

Result IV: Self-generated turbulence in Reconnection Current density z/d e V out Time=140/wci V out z/d e Time=160/wci z/d e Time=180/wci turbulent!!! x/d e The reconnection current sheet & x-line can become turbulent in 3D! -- the cause? the effect on the dissipation & energy conversion rate?

Broader Impact Space Science Astrophysics Fusion device Crab Nebula e.g,, ITER Tokamak @ France NASA s MMS mission Fermi Gamma Ray Space Telescope magnetic field lines geometry in a cross section

Blue Waters Team Contributions Special thanks to Ryan Mokos for the help & advices on the data archiving. JaeHyuk Kwack for the script that simultaneously launches tar comment in multiple cores! Craig Steffen & storage group for fixing the error in my file system at Nearline. Roberto Sisneros & visualization group for helping setup the 3D visualization using ParaView.

Summary Magnetic Reconnection is the key process that releases the magnetic energy stored in space, astrophysical and laboratory plasma systems. -- The 3D nature of reconnection x-line remains unclear! -- Blue Waters provides the opportunity to explore this challenging problem. The on-going science topics run on Blue Waters include: -- The orientation of 3D x-lines. -- The extent and expansion of 3D x-lines with local geometries similar to Earth s magnetopause & magnetotail. -- The turbulent nature of 3D x-lines.