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Causality in dissipative relativistic magnetohydrodynamics

2024/11/07 by Raphael E. Hoult, Hoult, Raphael E., Pavel Kovtun +1 · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #High-Energy Particle Collisions Research

paper · pdf · doi:10.48550/arxiv.2411.04966

Abstract

We explore the relationship between linear and non-linear causality in theories of dissipative relativistic fluid dynamics. While for some fluid-dynamical theories, a linearized causality analysis can be used to determine whether the full non-linear theory is causal, for others it can not. As an illustration, we study relativistic viscous magnetohydrodynamics supplemented by a neutral-particle current, with resistive corrections to the conservation of magnetic flux. The dissipative theory has 10 transport coefficients, including anisotropic viscosities, electric resistivities, and neutral-particle conductivities. We show how causality properties of this magnetohydrodynamic theory, in the most general fluid frame, may be understood from the linearized analysis.

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