Analytic expressions for electron-ion temperature equilibration rates from the Lenard-Balescu equation
Journal Article
·
· Physical Review E
- 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.
- Research Organization:
- Lawrence Livermore National Laboratory (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
Cited by: 10 works
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