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Linearized model collision operators for multiple ion species plasmas and gyrokinetic entropy balance equations

Phys. Plasmas 16, 112503 (2009); doi:10.1063/1.3257907

Published 4 November 2009

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H. Sugama,1,2 T.-H. Watanabe,1,2 and M. Nunami1
1National Institute for Fusion Science, Toki 509-5292, Japan
2The Graduate University for Advanced Studies, Toki 509-5292, Japan
Linearized model collision operators for multiple ion species plasmas are presented that conserve particles, momentum, and energy and satisfy adjointness relations and Boltzmann's H-theorem even for collisions between different particle species with unequal temperatures. The model collision operators are also written in the gyrophase-averaged form that can be applied to the gyrokinetic equation. Balance equations for the turbulent entropy density, the energy of electromagnetic fluctuations, the turbulent transport fluxes of particle and heat, and the collisional dissipation are derived from the gyrokinetic equation including the collision term and Maxwell equations. It is shown that, in the steady turbulence, the entropy produced by the turbulent transport fluxes is dissipated in part by collisions in the nonzonal-mode region and in part by those in the zonal-mode region after the nonlinear entropy transfer from nonzonal to zonal modes. ©2009 American Institute of Physics
History: Received 29 July 2009; accepted 12 October 2009; published 4 November 2009
Permalink: http://link.aip.org/link/?PHPAEN/16/112503/1
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1070-664X (print)   1089-7674 (online)
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