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Relation between Hall-magnetohydrodynamics and the kinetic Alfvén wave
Authors:Akira Hirose   Atsushi Ito   Swadesh M. Mahajan  Shuichi Ohsaki
Affiliation:

aPlasma Physics Laboratory, University of Saskatchewan, 116 Science Place, Saskatoon, Saskatchewan S7N 5E2, Canada

bInstitute for Fusion Studies, The University of Texas at Austin, Austin, TX 78712, USA

cGraduate School of Frontier Sciences, The University of Tokyo, 5-1-5 Kashiwanoha, Chiba 277-8561, Japan

Abstract:Effects of a finite ion temperature on the Hall magnetohydrodynamics (MHD), which breaks down for a finite ion temperature, are clarified in terms of a rigorous three-field kinetic dispersion relation. The MHD mode equation becomes anisotropic with respect to the ion pressure because of the double adiabaticity in ion dynamics.
Keywords:Alfvén wave   Kinetic theory   Hall MHD   Finite ion Larmor radius
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