Asymmetric kinetic equilibria: Generalization of the BAS model for rotating magnetic profile and nonzero electric field
Finding kinetic equilibria for noncollisional/collisionless tangential current layers is a key issue as well for their theoretical modeling as for our understanding of the processes that disturb them, such as tearing or Kelvin Helmholtz instabilities. The famous Harris equilibrium [E. Harris, Il Nuovo Cimento Ser. 10 23, 115–121 (1962)] assumes drifting Maxwellian distributions for ions and electrons, with constant temperatures and flow velocities; these assumptions lead to symmetric layers surrounded by vacuum. This strongly particular kind of layer is not suited for the general case: asymmetric boundaries between two media with different plasmas and different magnetic fields. The standard method for constructing more general kinetic equilibria consists in using Jeans theorem, which says that any function depending only on the Hamiltonian constants of motion is a solution to the steady Vlasov equation [P. J. Channell, Phys. Fluids (1958–1988) 19, 1541 (1976); M. Roth et al., Space Sci. Rev. 76, 251–317 (1996); and F. Mottez, Phys. Plasmas 10, 1541–1545 (2003)]. The inverse implication is however not true: when using the motion invariants as variables instead of the velocity components, the general stationary particle distributions keep on depending explicitly of the position, in addition to the implicit dependence introduced by these invariants.more »
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 LPP, Ecole Polytechnique, CNRS, UPMC, Université Paris Sud, Palaiseau (France)
 Publication Date:
 OSTI Identifier:
 22493752
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 9; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BOLTZMANNVLASOV EQUATION; EARTH PLANET; ELECTRIC FIELDS; ELECTRONS; FLOW RATE; HAMILTONIANS; HELMHOLTZ INSTABILITY; IONS; MAGNETIC FIELD CONFIGURATIONS; MAGNETIC FIELDS; MAGNETOPAUSE; MATHEMATICAL SOLUTIONS; PLASMA; PLASMA SIMULATION; ROTATING PLASMA