Variational multi-fluid dynamics and causal heat conductivity

Abstract

We discuss heat conductivity from the point of view of a variational multi-fluid model, treating entropy as a dynamical entity. We demonstrate that a two-fluid model with a massive fluid component and a massless entropy can reproduce a number of key results from extended irreversible thermodynamics. In particular, we show that the entropy entrainment is intimately linked to the thermal relaxation time that is required to make heat propagation in solids causal. We also discuss non-local terms that arise naturally in a dissipative multi-fluid model, and relate these terms to those of phonon hydrodynamics. Finally, we formulate a complete heat conducting two-component model and discuss briefly the new dissipative terms that arise.

no figures

References in corpus (3)

• A hydrodynamical trigger mechanism for pulsar glitches
• On the stability of precessing superfluid neutron stars
• Oscillations of Rapidly Rotating Superfluid Stars

Cited by in corpus (16)

• Magnetohydrodynamics of superfluid and superconducting neutron star cores
• Relativistic fluid dynamics: physics for many different scales
• Thermal Dynamics in General Relativity
• The dynamics of dissipative multi-fluid neutron star cores
• A covariant action principle for dissipative fluid dynamics: From formalism to fundamental physics
• A consistent first-order model for relativistic heat flow
• r-modes in low temperature colour-flavour-locked superconducting quark star
• A variational approach to resistive relativistic plasmas
• Two Fluid Shear-Free Composites
• A minimal model for finite temperature superfluid dynamics
• Linearizing a Non-linear Formulation for General Relativistic Dissipative Fluids
• Heat conduction in general relativity
• Heat transport and diffusion in a canonical model of a relativistic gas
• On the inertia of heat
• A multifluid perspective on multimessenger modelling
• The Cosmological Dipole in Tilted Anisotropic Universes