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Title: Force-free Jacobian equilibria for Vlasov-Maxwell plasmas

New analytic force-free Vlasov-Maxwell equilibria for thin current sheets are presented. The magnetic flux densities are expressed in terms of Jacobian elliptic functions of one Cartesian spatial coordinate. The magnetic flux densities reduce to previously reported hyperbolic functions in one limit and sinusoidal functions in another limit of the modulus k. A much wider class of nonlinear force-free Vlasov-Maxwell equilibria open expanded possibilities for modeling of solar system, astrophysical and laboratory plasmas. Modified Maxwellian distribution functions are determined explicitly in terms of Jacobian elliptic functions. Conditions for double peaked distribution functions that could be unstable are developed.
Authors:
 [1]
  1. Department of Electrical and Systems Engineering, Washington University, St. Louis, Missouri 63130 (United States)
Publication Date:
OSTI Identifier:
22218509
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 20; Journal Issue: 10; Other Information: (c) 2013 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; ASTROPHYSICS; BOLTZMANN-VLASOV EQUATION; DISTRIBUTION FUNCTIONS; EQUILIBRIUM; FLUX DENSITY; MAGNETIC FLUX; MAGNETOHYDRODYNAMICS; MAXWELL EQUATIONS; NONLINEAR PROBLEMS; PLASMA; PLASMA SHEET; PLASMA SIMULATION; SOLAR SYSTEM