Local thermodynamics of a magnetized, anisotropic plasma

Abstract

An expression for the internal energy of a fluid element in a weakly coupled, magnetized, anisotropic plasma is derived from first principles. The result is a function of entropy, particle density and magnetic field, and as such plays the role of a thermodynamic potential: it determines in principle all thermodynamic properties of the fluid element. In particular it provides equations of state for the magnetized plasma. The derivation uses familiar fluid equations, a few elements of kinetic theory, the MHD version of Faraday's law, and certain familiar stability and regularity conditions.

Cited by in corpus (12)

• On energy conservation in extended magnetohydrodynamics
• Hamiltonian Magnetohydrodynamics: Lagrangian, Eulerian, and Dynamically Accessible Stability - Theory
• Pressure-Strain Interaction: I. On Compression, Deformation, and Implications For Pi-D
• Pressure-Strain Interaction: II. Decomposition in Magnetic Field-Aligned Coordinates
• Exact law for compressible pressure-anisotropic magnetohydrodynamic turbulence: toward linking energy cascade and instabilities
• Hamiltonian kinetic-Hall Magnetohydrodynamics with fluid and kinetic ions in the current and pressure coupling schemes
• Fluid energy cascade rate and kinetic damping: new insight from 3D Landau-fluid simulations
• A class of three-dimensional gyroviscous magnetohydrodynamic models
• Action Principles and Conservation Laws for Chew-Goldberger-Low Anisotropic Plasmas
• Variational mean-fluctuation splitting and drift-fluid models
• A new paradigm for the dynamics of the early Universe
• The Machine Learning Approach to Moment Closure Relations for Plasma: A Review