Exact linearized Coulomb collision operator in the moment expansion

Ji, Jeong -Young; Held, Eric D.

doi:10.1063/1.2356320

Exact linearized Coulomb collision operator in the moment expansion

Journal Article · Thu Oct 05 00:00:00 EDT 2006 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.2356320· OSTI ID:1247320

Ji, Jeong -Young ^[1]; Held, Eric D. ^[2]

Utah State Univ., Logan, UT (United States). Department of Physics; Utah State University
Utah State Univ., Logan, UT (United States). Department of Physics

In the moment expansion, the Rosenbluth potentials, the linearized Coulomb collision operators, and the moments of the collision operators are analytically calculated for any moment. The explicit calculation of Rosenbluth potentials converts the integro-differential form of the Coulomb collision operator into a differential operator, which enables one to express the collision operator in a simple closed form for any arbitrary mass and temperature ratios. In addition, it is shown that gyrophase averaging the collision operator acting on arbitrary distribution functions is the same as the collision operator acting on the corresponding gyrophase averaged distribution functions. The moments of the collision operator are linear combinations of the fluid moments with collision coefficients parametrized by mass and temperature ratios. Furthermore, useful forms involving the small mass-ratio approximation are easily found since the collision operators and their moments are expressed in terms of the mass ratio. As an application, the general moment equations are explicitly written and the higher order heat flux equation is derived.

View Accepted Manuscript (DOE)

Research Organization:: Utah State Univ., Logan, UT (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)

Grant/Contract Number:: FC02-04ER54798; FC02-05ER54812; FG02-04ER54746

OSTI ID:: 1247320

Alternate ID(s):: OSTI ID: 20860282

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 10 Vol. 13; ISSN PHPAEN; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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