New approach to nonrelativistic ideal magnetohydrodynamics

The European Physical Journal C

Rabin Banerjee¹  Kuldeep Kumar² 

[1] S.N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, 700098, Kolkata, India;S.N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, 700098, Kolkata, India;Department of Physics, Panjab University, 160014, Chandigarh, India;

关键词: Poisson Bracket;    Hamiltonian Formulation;    Physical Field;    Basic Field;    Canonical Structure;   

DOI  :  10.1140/epjc/s10052-016-4248-9

来源: Springer

【 摘 要 】

We provide a novel action principle for nonrelativistic ideal magnetohydrodynamics in the Eulerian scheme exploiting a Clebsch-type parametrisation. Both Lagrangian and Hamiltonian formulations have been considered. Within the Hamiltonian framework, two complementary approaches have been discussed using Dirac’s constraint analysis. In one case the Hamiltonian is canonical involving only physical variables but the brackets have a noncanonical structure, while the other retains the canonical structure of brackets by enlarging the phase space. The special case of incompressible magnetohydrodynamics is also considered where, again, both the approaches are discussed in the Hamiltonian framework. The conservation of the stress tensor reveals interesting aspects of the theory.

【 授权许可】

CC BY