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Quasiparticle hydrodynamics with momentum-dependent relaxation time

Arghya Mukherjee1,*, Samapan Bhadury2,†, and Pracheta Singha3,‡

  • 1Ramakrishna Mission Residential College (Autonomous), Narendrapur, Kolkata-700103, India
  • 2Institute of Theoretical Physics, Jagiellonian University, ul. St. Łojasiewicza 11, 30-348 Krakow, Poland
  • 3Department of Physics, West University of Timişoara, Bulevardul Vasile Pârvan 4, Timişoara 300223, Romania

  • *Contact author: arbp.phy@gmail.com
  • †Contact author: samapan.bhadury@uj.edu.pl
  • ‡Contact author: pracheta.singha@e-uvt.ro
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Phys. Rev. D 112, 056018 – Published 16 September, 2025

DOI: https://doi.org/10.1103/nkx2-bxys

Abstract

We formulate the relativistic dissipative hydrodynamics of a system of quasiparticles from the Boltzmann equation within the ambit of relaxation time approximation with modified collision kernels. We focus on two specific scenarios with single quasiparticle species, (i) the extended relaxation time approximation, and (ii) the novel relaxation time approximation. We find that both approaches lead to equivalent results up to first order in spacetime gradients. We generalize the extended relaxation time approach to incorporate multiple quasiparticle species and obtain the corresponding expressions for the shear (ηs) and bulk (ζs) viscous coefficients. As an application, we study the temperature dependence of the transport coefficients of hot QCD medium with quasigluon and (light and strange) quasiquark sectors considering the power law ansatz for the momentum dependence of the relaxation time. We explore the impact of the power law exponent on the ratio ζs/ηs. Our study suggests that in comparison to a constant exponent, a temperature dependent exponent in the power law ansatz is more suitable for modeling the quasiparticle dynamics in the relevant temperature regime of heavy ion collision.

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Phys. Rev. D 112, 056018– Published 16 September, 2025
  • Received 23 April 2025
  • Accepted 22 August 2025
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