Quasi-particle hydrodynamics with momentum-dependent relaxation time
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arXiv
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| Format: | Preprint |
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2025
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| author | Mukherjee, Arghya Bhadury, Samapan Singha, Pracheta |
| author_facet | Mukherjee, Arghya Bhadury, Samapan Singha, Pracheta |
| contents | We formulate the relativistic dissipative hydrodynamics of a system of quasi-particles from the Boltzmann equation within the ambit of relaxation time approximation with modified collision kernels. We focus on two specific scenarios with single quasi-particle 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 quasi-particle species and obtain the corresponding expressions for the shear ($η_s$) and bulk ($ζ_s$) viscous coefficients. As an application, we study the temperature dependence of the transport coefficients of hot QCD medium with quasi-gluon and (light and strange) quasi-quark 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 $ζ_s/η_s$. 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 quasi-particle dynamics in the relevant temperature regime of heavy ion collision. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11572 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasi-particle hydrodynamics with momentum-dependent relaxation time Mukherjee, Arghya Bhadury, Samapan Singha, Pracheta High Energy Physics - Phenomenology Nuclear Theory We formulate the relativistic dissipative hydrodynamics of a system of quasi-particles from the Boltzmann equation within the ambit of relaxation time approximation with modified collision kernels. We focus on two specific scenarios with single quasi-particle 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 quasi-particle species and obtain the corresponding expressions for the shear ($η_s$) and bulk ($ζ_s$) viscous coefficients. As an application, we study the temperature dependence of the transport coefficients of hot QCD medium with quasi-gluon and (light and strange) quasi-quark 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 $ζ_s/η_s$. 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 quasi-particle dynamics in the relevant temperature regime of heavy ion collision. |
| title | Quasi-particle hydrodynamics with momentum-dependent relaxation time |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2504.11572 |