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

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

doi:10.1103/PhysRevE.97.013205

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

Journal Article · Wed Jan 31 00:00:00 EST 2018 · Physical Review E

DOI:https://doi.org/10.1103/PhysRevE.97.013205· OSTI ID:1458674

Scullard, Christian R. ^[1]; Serna, Susana ^[2]; Benedict, Lorin X. ^[1]; Ellison, C. Leland ^[1]; Graziani, Frank R. ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Autonomous University of Barcelona (Spain). Department of Mathematics

In this paper, 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. Lastly, 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.

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Research Organization:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1458674

Alternate ID(s):: OSTI ID: 1418883

Report Number(s):: LLNL-JRNL-737460; PLEEE8; 890285; TRN: US1901501

Journal Information:: Physical Review E, Vol. 97, Issue 1; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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