Relativistic hydrodynamics with momentum dependent relaxation time

Abstract

A second order relativistic hydrodynamic theory has been derived using momentum dependent relaxation time in the relativistic transport equation. In order to do that, an iterative technique of gradient expansion approach, namely Chapman-Enskog (CE) expansion of the particle distribution function has been employed. The key findings of this work are, (i) momentum dependent relaxation time in collision term results in an extended Landau matching condition for the thermodynamic variables, (ii) the result from numerical solution of Boltzmann equation lies somewhere in between the two popular extreme limits : linear and quadratic ansatz, indicating a fractional power of momentum dependence in relaxation time to be appropriate, (ii) an equivalence has been established between the iterative gradient expansion method like CE and the well known moment approach like Grad's 14-moment method.

Accepted for Physical Review C

References in corpus (5)

• Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory
• Transport Coefficients of Bulk Viscous Pressure in the 14-moment approximation
• Relativistic third-order viscous corrections to the entropy four-current from kinetic theory
• First-Order General-Relativistic Viscous Fluid Dynamics
• Relativistic second order dissipative hydrodynamics from effective fugacity quasi particle model

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• Correspondence between momentum dependent relaxation time and field redefinition of relativistic hydrodynamic theory
• Resurgence for the non-conformal Bjorken flow with Fermi-Dirac and Bose-Einstein statistics
• Quarkonium in a QCD medium with momentum-dependent relaxation time