Burgers equation for the bulk viscous pressure of quark matter

Fuente: arXiv
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Hauptverfasser: Hernandez, José Luis, Manuel, Cristina, Säppi, Saga, Tolos, Laura
Format: Preprint
Veröffentlicht: 2025
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author Hernandez, José Luis
Manuel, Cristina
Säppi, Saga
Tolos, Laura
author_facet Hernandez, José Luis
Manuel, Cristina
Säppi, Saga
Tolos, Laura
contents The dissipative properties of relativistic strongly interacting nuclear matter significantly influence the damping of stellar oscillations and density fluctuations during compact star mergers. In this work, we derive the evolution equation for the bulk viscous pressure in unpaired quark matter under small deviations from equilibrium. Our analysis reveals that it behaves like a two-component Burgers fluid. We identify four key transport coefficients -- two relaxation times and two bulk viscosity coefficients -- expressed in terms of equilibrium parameters and electroweak nonleptonic and semi-leptonic decay rates. The transport coefficients are evaluated for two distinct equations of state: one based on perturbative quantum chromodynamics and the other on a modified MIT bag model, valid in different density regimes. We also determine the temperature and density region where nonleptonic electroweak processes dominate the dissipation. Our formulation establishes a new way of describing bulk viscous effects in quark matter, applicable for numerical simulations of compact star mergers.
format Preprint
id arxiv_https___arxiv_org_abs_2507_00794
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Burgers equation for the bulk viscous pressure of quark matter
Hernandez, José Luis
Manuel, Cristina
Säppi, Saga
Tolos, Laura
High Energy Physics - Phenomenology
General Relativity and Quantum Cosmology
Nuclear Theory
The dissipative properties of relativistic strongly interacting nuclear matter significantly influence the damping of stellar oscillations and density fluctuations during compact star mergers. In this work, we derive the evolution equation for the bulk viscous pressure in unpaired quark matter under small deviations from equilibrium. Our analysis reveals that it behaves like a two-component Burgers fluid. We identify four key transport coefficients -- two relaxation times and two bulk viscosity coefficients -- expressed in terms of equilibrium parameters and electroweak nonleptonic and semi-leptonic decay rates. The transport coefficients are evaluated for two distinct equations of state: one based on perturbative quantum chromodynamics and the other on a modified MIT bag model, valid in different density regimes. We also determine the temperature and density region where nonleptonic electroweak processes dominate the dissipation. Our formulation establishes a new way of describing bulk viscous effects in quark matter, applicable for numerical simulations of compact star mergers.
title Burgers equation for the bulk viscous pressure of quark matter
topic High Energy Physics - Phenomenology
General Relativity and Quantum Cosmology
Nuclear Theory
url https://arxiv.org/abs/2507.00794