Analytic expressions for electron-ion temperature equilibration rates from the Lenard-Balescu equation

ORAL

Abstract

In hydrodynamic plasma simulations, it is necessary to have accurate but easily-computable formulas for various properties of the plasma. I present here a method for evaluating the electron-ion equilibration time arising from the Lenard-Balescu equation, which is accurate in weak coupling. The integrals are too difficult to compute directly within a hydrodynamic simulation, but I will describe the various mathematical techniques we used to derive a simple but accurate formula that holds for arbitrary electron degeneracy.

*Susana Serna was supported by Spanish MINECO grant MTM2014-56218-C2-2-P. This work was performed under the auspices of the U.S. Department of Energy at the Lawrence Livermore National Laboratory under Contract No. DE-AC52-07NA27344.

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Presenters

  • Christian R Scullard

    • Lawrence Livermore Natl Lab

Authors

  • Christian R Scullard

    • Lawrence Livermore Natl Lab

  • Susana Serna

    • Universitat Autonoma de Barcelona

  • Lorin Benedict

    • Lawrence Livermore Natl Lab, Lawrence Livermore Natl Lab
    • Lawrence Livermore Natl Lab

  • Charles Leland Ellison

    • Lawrence Livermore Natl Lab
    • LLNL

  • Frank R Graziani

    • Lawrence Livermore Natl Lab
    • Lawrence Livermore National Laboratory