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Title: Fluid moments of the nonlinear Landau collision operator

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.4960669· OSTI ID:1328856
 [1];  [2];  [1]; ORCiD logo [2]; ORCiD logo [3];  [2]
  1. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  2. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Princeton Univ., Princeton, NJ (United States)
  3. General Atomics, San Diego, CA (United States)
+ Show Author Affiliations

An important problem in plasma physics is the lack of an accurate and complete description of Coulomb collisions in associated fluid models. To shed light on the problem, this Letter introduces an integral identity involving the multivariate Hermite tensor polynomials and presents a method for computing exact expressions for the fluid moments of the nonlinear Landau collision operator. In conclusion, the proposed methodology provides a systematic and rigorous means of extending the validity of fluid models that have an underlying inverse-square force particle dynamics to arbitrary collisionality and flow.

Research Organization:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AGS-1338944; AGS-1552142; AC02-09CH11466
OSTI ID:
1328856
Alternate ID(s):
OSTI ID: 1287755
Report Number(s):
5260; PHPAEN
Journal Information:
Physics of Plasmas, Vol. 23, Issue 8; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 8 works
Citation information provided by
Web of Science

References (9)

Full Coulomb collision operator in the moment expansion journal October 2009
Note onN-dimensional hermite polynomials journal December 1949
On the kinetic theory of rarefied gases journal December 1949
Fokker-Planck Equation for an Inverse-Square Force journal July 1957
The Gaussian radial basis function method for plasma kinetic theory journal October 2015
On a Formula for the Product-Moment Coefficient of any Order of a Normal Frequency Distribution in any Number of Variables journal November 1918
The d-variate vector hermite polynomial of order k journal April 1996
On a Formula for the Product-Moment Coefficient of any Order of a Normal Frequency Distribution in any Number of Variables journal November 1918
The Gaussian Radial Basis Function Method for Plasma Kinetic Theory text January 2015

Cited By (4)

Exact collisional moments for plasma fluid theories journal April 2017
Fourier–Hermite decomposition of the collisional Vlasov–Maxwell system: implications for the velocity-space cascade journal March 2019
Exact collisional moments for plasma fluid theories text January 2017
Fourier-Hermite decomposition of the collisional Vlasov-Maxwell system: implications for the velocity space cascade text January 2018

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Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
polynomials
tensor methods
fluid equations
collision theories
cumulative distribution functions