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Title: Numerical solution of the quantum Lenard-Balescu equation for a non-degenerate one-component plasma

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.4963254· OSTI ID:1399709
 [1];  [2]; ORCiD logo [2];  [2];  [2];  [3]; ORCiD logo [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Univ. of California, Los Angeles, CA (United States)
  3. Univ. Autonoma de Barcelona (Spain)
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We present a numerical solution of the quantum Lenard-Balescu equation using a spectral method, namely an expansion in Laguerre polynomials. This method exactly conserves both particles and kinetic energy and facilitates the integration over the dielectric function. To demonstrate the method, we solve the equilibration problem for a spatially homogeneous one-component plasma with various initial conditions. Unlike the more usual Landau/Fokker-Planck system, this method requires no input Coulomb logarithm; the logarithmic terms in the collision integral arise naturally from the equation along with the non-logarithmic order-unity terms. The spectral method can also be used to solve the Landau equation and a quantum version of the Landau equation in which the integration over the wavenumber requires only a lower cutoff. We solve these problems as well and compare them with the full Lenard-Balescu solution in the weak-coupling limit. Finally, we discuss the possible generalization of this method to include spatial inhomogeneity and velocity anisotropy.

Research Organization:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1399709
Alternate ID(s):
OSTI ID: 1327556
Report Number(s):
LLNL-JRNL-687277; TRN: US1703090
Journal Information:
Physics of Plasmas, Vol. 23, Issue 9; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

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70 PLASMA PHYSICS AND FUSION