Hamiltonian theory of relativistic magnetohydrodynamics with anisotropic pressure
Journal Article
·
· Phys. Fluids; (United States)
This Brief Communication introduces a special relativistic extension of ideal magnetohydrodynamics having anisotropic pressure, and provides its Hamiltonian formulation in a fixed inertial frame. The nonrelativistic limit of this theory recovers the ''double adiabatic'' hydromagnetic equations of Chew, Goldberger, and Low (Proc. R. Soc. London Ser. A 236, 112 (1956)). For isotropic pressure distribution the equations and Hamiltonian structure reduce to the usual theory of relativistic magnetohydrodynamics. The Poisson bracket for the system is not symplectic. Rather, it is dual to a Lie algebra of semidirect-product type.
- Research Organization:
- Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
- OSTI ID:
- 5240043
- Journal Information:
- Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 29:11; ISSN PFLDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
640430* -- Fluid Physics-- Magnetohydrodynamics
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ADIABATIC PROCESSES
ANISOTROPY
COLLISIONLESS PLASMA
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
FLUID MECHANICS
HAMILTONIANS
HYDRODYNAMICS
ISOTROPY
MAGNETOHYDRODYNAMICS
MATHEMATICAL OPERATORS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
PLASMA PRESSURE
POISSON EQUATION
PRESSURE GRADIENTS
QUANTUM OPERATORS
RELATIVISTIC RANGE
THERMODYNAMICS
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ADIABATIC PROCESSES
ANISOTROPY
COLLISIONLESS PLASMA
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
FLUID MECHANICS
HAMILTONIANS
HYDRODYNAMICS
ISOTROPY
MAGNETOHYDRODYNAMICS
MATHEMATICAL OPERATORS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
PLASMA PRESSURE
POISSON EQUATION
PRESSURE GRADIENTS
QUANTUM OPERATORS
RELATIVISTIC RANGE
THERMODYNAMICS