Kinetic approach to relativistic dissipation

Abstract

Despite a long record of intense efforts, the basic mechanisms by which dissipation emerges from the microscopic dynamics of a relativistic fluid still elude a complete understanding. In particular, no unique pathway from kinetic theory to hydrodynamics has been identified as yet, with different approaches leading to different values of the transport coefficients. In this Letter, we approach the problem by matching data from lattice kinetic simulations with analytical predictions. Our numerical results provide neat evidence in favour of the Chapman-Enskog procedure, as suggested by recently theoretical analyses, along with qualitative hints at the basic reasons why the Chapman-Enskog expansion might be better suited than Grad's method to capture the emergence of dissipative effects in relativistic fluids.

References in corpus (5)

• Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory
• The applicability of causal dissipative hydrodynamics to relativistic heavy ion collisions
• Relativistic third-order viscous corrections to the entropy four-current from kinetic theory
• Entropic 13 Moment Equations from Boltzmann's Kinetic Equation
• Towards a unified lattice kinetic scheme for relativistic hydrodynamics

Cited by in corpus (19)

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• Dissipative hydrodynamics of relativistic shock waves in a Quark Gluon Plasma: comparing and benchmarking alternate numerical methods
• Relativistic second-order viscous hydrodynamics from kinetic theory with extended relaxation-time approximation
• Relativistic dissipation obeys Chapman-Enskog asymptotics: analytical and numerical evidence as a basis for accurate kinetic simulations
• Numerical evidence of electron hydrodynamic whirlpools in graphene samples
• Generic instabilities in the relativistic Chapman-Enskog heat conduction law
• Relativistic second-order dissipative and anisotropic fluid dynamics in the relaxation-time approximation for an ideal gas of massive particles
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• Relativistic BGK hydrodynamics
• Realizability conditions for relativistic gases with a non-zero heat flux
• Probing bulk viscosity in relativistic flows
• Thermal dissipation in two dimensional relativistic Fermi gases with a relaxation time model