Causal Relativistic Hydrodynamics of Conformal Fermi-Dirac Gases

Abstract

In this paper we address the derivation of causal relativistic hydrodynamics, formulated within the framework of Divergence Type Theories (DTTs), from kinetic theory for spinless particles obeying Fermi-Dirac statistics. The approach leads to expressions for the particle current and energy momentum tensor that are formally divergent, but may be given meaning through a process of regularization and renormalization. We demonstrate the procedure through an analysis of the stability of an homogeneous anisotropic configuration. In the DTT framework, as in kinetic theory, these configurations are stable. By contrast, hydrodynamics as derived from the Grad approximation would predict that highly anisotropic configurations are unstable.

arXiv commentAccepted for publication in Phys. Rev. D

References in corpus (46)

• Inflation Dynamics and Reheating
• Derivation of transient relativistic fluid dynamics from the Boltzmann equation
• New Developments in Relativistic Viscous Hydrodynamics
• Nonperturbative Dynamics Of Reheating After Inflation: A Review
• Collective Modes of an Anisotropic Quark-Gluon Plasma
• Dissipative Dynamics of Highly Anisotropic Systems
• Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory
• Phase transitions in the early and the present Universe
• Second-order (2+1)-dimensional anisotropic hydrodynamics
• Anisotropic Hydrodynamics: Three lectures
• Relativistic dissipative hydrodynamics from kinetic theory with relaxation time approximation
• Transport coefficients for bulk viscous evolution in the relaxation time approximation
• Derivation of fluid dynamics from kinetic theory with the 14--moment approximation
• Do nuclear collisions create a locally equilibrated quark-gluon plasma?
• On the relative importance of second-order terms in relativistic dissipative fluid dynamics
• Resurgence in Extended Hydrodynamics
• Derivation of anisotropic dissipative fluid dynamics from the Boltzmann equation
• A model of the effect of collisions on QCD plasma instabilities
• Relativistic fluctuating hydrodynamics
• Divergence-type nonlinear conformal hydrodynamics
• Divergence-type 2+1 dissipative hydrodynamics applied to heavy-ion collisions
• Fluid Dynamics and Viscosity in Strongly Correlated Fluids
• Relativistic second-order dissipative hydrodynamics at finite chemical potential
• Relativistic quantum transport coefficients for second-order viscous hydrodynamics
• Relativistic viscous hydrodynamics for heavy-ion collisions: A comparison between the Chapman-Enskog and Grad methods
• Complete relativistic second-order dissipative hydrodynamics from the entropy principle
• Anisotropic matching principle for the hydrodynamics expansion
• Gradient expansion for anisotropic hydrodynamics
• Macroscopic approximation to relativistic kinetic theory from a nonlinear closure
• Chromo-Hydrodynamic Approach to the Unstable Quark-Gluon Plasma
• The Cauchy Principal Value and the finite part integral as values of absolutely convergent integrals
• Chromohydrodynamical instabilities induced by relativistic jets
• The relativistic kinetic dispersion relation: Comparison of the relativistic Bhatnagar-Gross-Krook model and Grad's 14-moment expansion
• A hydrodynamic approach to boost invariant free streaming
• Anisotropic hydrodynamics for mixture of quark and gluon fluids
• Testing different formulations of leading-order anisotropic hydrodynamics
• A causal statistical family of dissipative divergence type fluids
• Viscous corrections to anisotropic flow and transverse momentum spectra from transport theory
• Effective dynamics of a nonabelian plasma out of equilibrium
• Non-boost-invariant dissipative hydrodynamics
• A Hydrodynamic Approach to the Study of Anisotropic Instabilities in Dissipative Relativistic Plasmas
• Primordial Magnetic Field Amplification from Turbulent Reheating
• Divergence-type theory of conformal fields
• Primordial Magnetic Helicity from Stochastic Electric Currents
• Higher-Harmonic Collective Modes in a Trapped Gas from Second-Order Hydrodynamics
• Non abelian hydrodynamics and heavy ion collisions

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