skip to main content

SciTech ConnectSciTech Connect

Title: Vlasov tokamak equilibria with sheared toroidal flow and anisotropic pressure

By choosing appropriate deformed Maxwellian ion and electron distribution functions depending on the two particle constants of motion, i.e., the energy and toroidal angular momentum, we reduce the Vlasov axisymmetric equilibrium problem for quasineutral plasmas to a transcendental Grad-Shafranov-like equation. This equation is then solved numerically under the Dirichlet boundary condition for an analytically prescribed boundary possessing a lower X-point to construct tokamak equilibria with toroidal sheared ion flow and anisotropic pressure. Depending on the deformation of the distribution functions, these steady states can have toroidal current densities either peaked on the magnetic axis or hollow. These two kinds of equilibria may be regarded as a bifurcation in connection with symmetry properties of the distribution functions on the magnetic axis.
Authors:
 [1] ;  [2] ;  [3]
  1. Technological Education Institute of Serres, 62124 Serres (Greece)
  2. Department of Physics, University of Ioannina, GR 451 10 Ioannina (Greece)
  3. Max-Planck-Institut für Plasmaphysik, D-85748 Garching (Germany)
Publication Date:
OSTI Identifier:
22490056
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 8; Other Information: (c) 2015 EURATOM; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ANGULAR MOMENTUM; ANISOTROPY; AXIAL SYMMETRY; BIFURCATION; BOLTZMANN STATISTICS; BOUNDARY CONDITIONS; CURRENT DENSITY; DIRICHLET PROBLEM; DISTRIBUTION FUNCTIONS; ELECTRONS; EQUILIBRIUM; IONS; PLASMA; SHEAR; STEADY-STATE CONDITIONS; TOKAMAK DEVICES; TOROIDAL CONFIGURATION