Far-from-equilibrium attractors in kinetic theory for a mixture of quark and gluon fluids

Fuente: arXiv
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Main Authors: Frascà, Ferdinando, Beraudo, Andrea, Strickland, Michael
Format: Preprint
Published: 2024
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author Frascà, Ferdinando
Beraudo, Andrea
Strickland, Michael
author_facet Frascà, Ferdinando
Beraudo, Andrea
Strickland, Michael
contents We exactly solve an RTA-Boltzmann equation that describes the dynamics of coupled massless quark and gluon fluids undergoing transversally homogeneous longitudinal boost-invariant expansion. We include a fugacity parameter that allows quarks to be out of chemical equilibrium and we account for the different collision rates of quarks and gluons, which are related by Casimir scaling. Based on these assumptions, we numerically determine the evolution of a large set of moments of the quark and gluon distribution functions and reconstruct their entire distribution functions. We find that both late and early-time attractors exist for all moments of the distribution functions containing more than one power of the squared longitudinal momentum. These attractors emerge long before the system reaches the regime where hydrodynamic approximations apply. In addition, we discuss how the shear viscous corrections and entropy density of the fluid mixture evolve and consider the properties of their respective attractors. Finally, the entropy production is also investigated for different initial values of momentum anisotropy and quark abundance.
format Preprint
id arxiv_https___arxiv_org_abs_2407_17327
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Far-from-equilibrium attractors in kinetic theory for a mixture of quark and gluon fluids
Frascà, Ferdinando
Beraudo, Andrea
Strickland, Michael
High Energy Physics - Phenomenology
Nuclear Theory
We exactly solve an RTA-Boltzmann equation that describes the dynamics of coupled massless quark and gluon fluids undergoing transversally homogeneous longitudinal boost-invariant expansion. We include a fugacity parameter that allows quarks to be out of chemical equilibrium and we account for the different collision rates of quarks and gluons, which are related by Casimir scaling. Based on these assumptions, we numerically determine the evolution of a large set of moments of the quark and gluon distribution functions and reconstruct their entire distribution functions. We find that both late and early-time attractors exist for all moments of the distribution functions containing more than one power of the squared longitudinal momentum. These attractors emerge long before the system reaches the regime where hydrodynamic approximations apply. In addition, we discuss how the shear viscous corrections and entropy density of the fluid mixture evolve and consider the properties of their respective attractors. Finally, the entropy production is also investigated for different initial values of momentum anisotropy and quark abundance.
title Far-from-equilibrium attractors in kinetic theory for a mixture of quark and gluon fluids
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2407.17327