A general metriplectic framework with application to dissipative extended magnetohydrodynamics

被引:13
作者
Coquinot, Baptiste [1 ]
Morrison, Philip J. [2 ,3 ]
机构
[1] Ecole Normale Super, Dept Phys, 24 Rue Lhomond, F-75005 Paris, France
[2] Univ Texas Austin, Dept Phys, 2515 Speedway, Austin, TX 78712 USA
[3] Univ Texas Austin, Inst Fus Studies, 2515 Speedway, Austin, TX 78712 USA
关键词
plasma dynamics; LAGRANGIAN VARIATIONAL FORMULATION; HAMILTONIAN DESCRIPTION; COMPLEX FLUIDS; DYNAMICS; THERMODYNAMICS; SYSTEMS; BRACKET;
D O I
10.1017/S0022377820000392
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
General equations for conservative yet dissipative (entropy producing) extended magnetohydrodynamics are derived from two-fluid theory. Keeping all terms generates unusual cross-effects, such as thermophoresis and a current viscosity that mixes with the usual velocity viscosity. While the Poisson bracket of the ideal version of this model has already been discovered, we determine its metriplectic counterpart that describes the dissipation. This is done using a new and general thermodynamic point of view to derive dissipative brackets, a means of derivation that is natural for understanding and creating dissipative dynamics without appealing to underlying kinetic theory orderings. Finally, the formalism is used to study dissipation in the Lagrangian variable picture where, in the context of extended magnetohydrodynamics, non-local dissipative brackets naturally emerge.
引用
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页数:32
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