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@article{50301, author = {Cremaschini, Claudio and Tessarotto, Massimo}, article_location = {US - Spojené státy americké}, article_number = {1}, doi = {http://dx.doi.org/10.1063/1.4773440}, keywords = {Guiding center motion; Nonlinear gyrokinetic theory; Hamiltonian-formulation}, issn = {1070-664X}, journal = {PHYSICS OF PLASMAS}, title = {Theory of spatially non-symmetric kinetic equilibria for collisionless plasmas}, url = {https://aip.scitation.org/doi/full/10.1063/1.4773440}, volume = {20}, year = {2013} }
TY - JOUR ID - 50301 AU - Cremaschini, Claudio - Tessarotto, Massimo PY - 2013 TI - Theory of spatially non-symmetric kinetic equilibria for collisionless plasmas JF - PHYSICS OF PLASMAS VL - 20 IS - 1 SN - 1070664X KW - Guiding center motion KW - Nonlinear gyrokinetic theory KW - Hamiltonian-formulation UR - https://aip.scitation.org/doi/full/10.1063/1.4773440 N2 - 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 ER -
CREMASCHINI, Claudio a Massimo TESSAROTTO. Theory of spatially non-symmetric kinetic equilibria for collisionless plasmas. \textit{PHYSICS OF PLASMAS}. US - Spojené státy americké, 2013, roč.~20, č.~1, 14 s. ISSN~1070-664X. Dostupné z: https://dx.doi.org/10.1063/1.4773440.
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