Boltzmann equation with a nonlocal collision term and the resultant dissipative fluid dynamics

Abstract

Starting with the relativistic Boltzmann equation where the collision term was generalized to include gradients of the phase-space distribution function, we recently presented a new derivation of the equations for the relativistic dissipative fluid dynamics. We compared them with the corresponding equations obtained in the standard Israel-Stewart and related approaches. Our method generates all the second-order terms that are allowed by symmetry, some of which have been missed by the traditional approaches, and the coefficients of other terms are altered. The first-order or Navier-Stokes equation too receives a small correction. Here we outline this work for the general audience.

Invited talk given by Rajeev Bhalerao at Rencontres du Vietnam, International Conference on 'Heavy Ion Collisions in the LHC Era', 15-21 July 2012, Quy Nhon, Vietnam

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Cited by in corpus (10)

• Transport coefficients for bulk viscous evolution in the relaxation time approximation
• Relativistic hydrodynamics in heavy-ion collisions: general aspects and recent developments
• Relativistic third-order viscous corrections to the entropy four-current from kinetic theory
• 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
• On higher order and anisotropic hydrodynamics for Bjorken and Gubser flows
• High-order quadrature-based lattice Boltzmann models for the flow of ultrarelativistic rarefied gases
• Relaxation-time approximation and relativistic third-order viscous hydrodynamics from kinetic theory
• Formulation of relativistic dissipative fluid dynamics and its applications in heavy-ion collisions