Fluid moments of the nonlinear Landau collision operator

Hirvijoki, E.; Pfefferlé, D.; Lingam, M.; Bhattacharjee, A.; Comisso, L.; Candy, J.

doi:10.1063/1.4960669

Title: Fluid moments of the nonlinear Landau collision operator

Journal Article · Mon Aug 15 00:00:00 EDT 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4960669· OSTI ID:22599932

Hirvijoki, E.; Pfefferlé, D. ^[1]; Lingam, M.; Bhattacharjee, A. ^[1]; Comisso, L. ^[2]; Candy, J. ^[3]

Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543 (United States)
Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544 (United States)
General Atomics, San Diego, California 92186 (United States)

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. 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.

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OSTI ID:: 22599932

Journal Information:: Physics of Plasmas, Vol. 23, Issue 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X

Country of Publication:: United States

Language:: English

References (9)

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A drift-kinetic analytical model for scrape-off layer plasma dynamics at arbitrary collisionality Jorge, R.; Ricci, P.; Loureiro, N. F. Journal of Plasma Physics, Vol. 83, Issue 6 https://doi.org/10.1017/s002237781700085x	journal	November 2017
Exact collisional moments for plasma fluid theories Pfefferlé, D.; Hirvijoki, E.; Lingam, M. Physics of Plasmas, Vol. 24, Issue 4 https://doi.org/10.1063/1.4979992	journal	April 2017
Fourier–Hermite decomposition of the collisional Vlasov–Maxwell system: implications for the velocity-space cascade Pezzi, O.; Valentini, F.; Servidio, S. Plasma Physics and Controlled Fusion, Vol. 61, Issue 5 https://doi.org/10.1088/1361-6587/ab04d5	journal	March 2019
Exact collisional moments for plasma fluid theories Pfefferlé, David; Hirvijoki, Eero; Lingam, Manasvi arXiv https://doi.org/10.48550/arxiv.1701.08037	text	January 2017
Fourier-Hermite decomposition of the collisional Vlasov-Maxwell system: implications for the velocity space cascade Pezzi, Oreste; Valentini, Francesco; Servidio, Sergio arXiv https://doi.org/10.48550/arxiv.1811.01030	text	January 2018

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70 PLASMA PHYSICS AND FUSION TECHNOLOGY
71 CLASSICAL AND QUANTUM MECHANICS
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COLLISIONS
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INTEGRALS
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Title: Fluid moments of the nonlinear Landau collision operator

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