CREMASCHINI, Claudio and Massimo TESSAROTTO. Theory of spatially non-symmetric kinetic equilibria for collisionless plasmas. PHYSICS OF PLASMAS. US - Spojené státy americké, 2013, vol. 20, No 1, 14 pp. ISSN 1070-664X. Available from: https://dx.doi.org/10.1063/1.4773440.
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Basic information
Original name Theory of spatially non-symmetric kinetic equilibria for collisionless plasmas
Name (in English) Theory of spatially non-symmetric kinetic equilibria for collisionless plasmas
Authors CREMASCHINI, Claudio and Massimo TESSAROTTO.
Edition PHYSICS OF PLASMAS, US - Spojené státy americké, 2013, 1070-664X.
Other information
Type of outcome Article in a journal
Field of Study 10300 1.3 Physical sciences
Confidentiality degree is not subject to a state or trade secret
WWW URL
Organization unit Institute of physics in Opava
Doi http://dx.doi.org/10.1063/1.4773440
UT WoS 000317286200059
Keywords in English Guiding center motion; Nonlinear gyrokinetic theory; Hamiltonian-formulation
Tags
Tags International impact, Reviewed
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 29/3/2021 09:39.
Abstract
The problem posed by the possible existence/non-existence of spatially non-symmetric kinetic equilibria has remained unsolved in plasma theory. For collisionless magnetized plasmas, this involves the construction of stationary solutions of the Vlasov-Maxwell equations. In this paper, the issue is addressed for non-relativistic plasmas both in astrophysical and laboratory contexts. The treatment is based on a Lagrangian variational description of single-particle dynamics. Starting point is a non-perturbative formulation of gyrokinetic theory, which allows one to construct "a posteriori" with prescribed order of accuracy an asymptotic representation for the magnetic moment. In terms of the relevant particle adiabatic invariants generalized bi-Maxwellianequilibria are proved to exist. These are shown to recover, under suitable assumptions, a Chapman-Enskog form which permits an analytical treatment of the corresponding fluid moments. In particular, the constrained posed by the Poisson an
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