Quasiparticle second-order viscous hydrodynamics from kinetic theory

TL;DR

This paper derives second-order relativistic viscous hydrodynamics from kinetic theory considering temperature-dependent quasiparticles, enabling realistic equations of state to improve modeling of matter in heavy-ion collisions.

Contribution

It introduces a thermodynamically consistent second-order hydrodynamic framework from kinetic theory with temperature-dependent quasiparticles, enhancing realism in modeling relativistic fluids.

Findings

The new formulation accurately describes viscous evolution in boost-invariant expansion.

It allows implementation of realistic equations of state in hydrodynamic simulations.

The approach improves understanding of matter dynamics in heavy-ion collisions.

Abstract

We present the derivation of second-order relativistic viscous hydrodynamics from an effective Boltzmann equation for a system consisting of quasiparticles of a single species. We consider temperature-dependent masses of the quasiparticles and devise a thermodynamically-consistent framework to formulate second-order evolution equations for shear and bulk viscous pressure corrections. The main advantage of this formulation is that one can consistently implement realistic equation of state of the medium within the framework of kinetic theory. Specializing to the case of one-dimensional purely-longitudinal boost-invariant expansion, we study the effect of this new formulation on viscous hydrodynamic evolution of strongly-interacting matter formed in relativistic heavy-ion collisions.