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Bibliographic Details
Main Author: Wang, Yanpeng
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2501.08634
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author Wang, Yanpeng
author_facet Wang, Yanpeng
contents A novel transport theory, based on the finitely distinguishable independent features (FDIF) hypothesis, is presented for scenarios when velocity space exhibits axisymmetry. In this theory, the transport equations are derived from the 1D-2V Vlasov equation, employing the spherical harmonics expansions (SHE) together with the King function expansion (KFE) in velocity space. The characteristic parameter equations (CPEs) are provided based on the general King mixture model (GKMM), serving as the constraint equations of the transport equations. It is a nature process to present the closure relations of transport equations based on SHE and KFE, successfully providing a kinetic moment-closed model (KMCM). This model is typically a nonlinear system, effective for moderately anisotropic non-equilibrium plasmas.
format Preprint
id arxiv_https___arxiv_org_abs_2501_08634
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space
Wang, Yanpeng
Plasma Physics
Mathematical Physics
A novel transport theory, based on the finitely distinguishable independent features (FDIF) hypothesis, is presented for scenarios when velocity space exhibits axisymmetry. In this theory, the transport equations are derived from the 1D-2V Vlasov equation, employing the spherical harmonics expansions (SHE) together with the King function expansion (KFE) in velocity space. The characteristic parameter equations (CPEs) are provided based on the general King mixture model (GKMM), serving as the constraint equations of the transport equations. It is a nature process to present the closure relations of transport equations based on SHE and KFE, successfully providing a kinetic moment-closed model (KMCM). This model is typically a nonlinear system, effective for moderately anisotropic non-equilibrium plasmas.
title Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space
topic Plasma Physics
Mathematical Physics
url https://arxiv.org/abs/2501.08634