Hamiltonian formalism of extended magnetohydrodynamics

被引:48
作者
Abdelhamid, H. M. [1 ,2 ]
Kawazura, Y. [1 ]
Yoshida, Z. [1 ]
机构
[1] Univ Tokyo, Grad Sch Frontier Sci, Kashiwa, Chiba 2778561, Japan
[2] Mansoura Univ, Fac Sci, Dept Phys, Mansoura 35516, Egypt
关键词
extended magnetohydrodynamics; Hamiltonian dynamics; Jacobi's identity; HALL-MAGNETOHYDRODYNAMICS; WHISTLER OSCILLITONS; PLASMAS; WAVES; FORMULATION; CONSTANTS; MOTION; FLUID;
D O I
10.1088/1751-8113/48/23/235502
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The extended magnetohydrodynamics (MHD) system, including the Hall effect and the electron inertia effect, has a Hamiltonian structure embodied by a noncanonical Poisson algebra on an infinite-dimensional phase space. A nontrivial part of the formulation is the proof of Jacobi's identity for the Poisson bracket. We unearth a basic Lie algebra that generates the Poisson bracket. A class of similar Poisson algebra may be generated by the same Lie algebra, which encompasses the Hall MHD system and inertial MHD system.
引用
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页数:19
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