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Moments of the Boltzmann collision operator for Coulomb interactions

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/5.0054457· OSTI ID:1849569
 [1];  [2];  [3];  [2]
  1. Utah State Univ., Logan, UT (United States). Dept. of Physics; Utah State Univ., Logan, UT (United States)
  2. Pohang Univ. of Science and Technology (POSTECH) (Korea, Republic of)
  3. Utah State Univ., Logan, UT (United States). Dept. of Physics
+ Show Author Affiliations
Exact moments of the Boltzmann collision operator are calculated in the irreducible Hermitian moment expansion written in terms of the random-velocity variable of each species. The formulas are presented in closed, algebraic form and can be straightforwardly implemented in computer algebra systems. They are valid for two arbitrary masses, temperatures, and flow velocities, and hence include all other existing results derived for distribution functions expanded with respect to reference states of one temperature and flow velocity. In comparison, the Landau collisional moments are good approximations for large Coulomb logarithm and small relative flow velocity, but they fail to predict the correct behavior of most collisional moments for large relative flow even for weakly coupled plasmas.
Research Organization:
Utah State Univ., Logan, UT (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC)
Grant/Contract Number:
FG02-04ER54746; SC0018146
OSTI ID:
1849569
Alternate ID(s):
OSTI ID: 1810190
Journal Information:
Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 7 Vol. 28; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

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Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Impact parameter
Moment equations
Physics
Plasma collisions
Runaway electrons
Rutherford scattering
Symbolic computation