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

Christian R. Scullard, Susana Serna, Lorin X. Benedict, C. Leland Ellison, Frank R. Graziani

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3 Citations (Scopus)

Abstract

© 2018 American Physical Society. In this work, we elucidate the mathematical structure of the integral that arises when computing the electron-ion temperature equilibration time for a homogeneous weakly coupled plasma from the Lenard-Balescu equation. With some minor approximations, we derive an analytic formula, requiring no input Coulomb logarithm, for the equilibration rate that is valid for moderate electron-ion temperature ratios and arbitrary electron degeneracy. For large temperature ratios, we derive the necessary correction to account for the coupled-mode effect, which can be evaluated very efficiently using ordinary Gaussian quadrature.
Original languageEnglish
Article number013205
JournalPhysical Review E
Volume97
Issue number1
DOIs
Publication statusPublished - 31 Jan 2018

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