Nonextensive hydrodynamics of boost-invariant plasmas

Alqahtani, Mubarak; Demir, Nasser; Strickland, Michael

doi:10.1140/epjc/s10052-022-10943-4

Nonextensive hydrodynamics of boost-invariant plasmas

Journal Article · Mon Oct 31 00:00:00 EDT 2022 · European Physical Journal. C, Particles and Fields (Online)

DOI:https://doi.org/10.1140/epjc/s10052-022-10943-4· OSTI ID:2420277

^[1]; Demir, Nasser ^[2]; Strickland, Michael ^[3]

Imam AbduIrahman Bin Faisal Univ. (IAU), Dammam (Saudi Arabia); Imam Abdulrahman Bin Faisal Univ., Damman (Saudi Arabia)
Kuwait University, Safat (Kuwait)
Kent State Univ., Kent, OH (United States)

We use quasiparticle anisotropic hydrodynamics to study the non-conformal and non-extensive dynamics of a system undergoing boost-invariant Bjorken expansion. To introduce nonextensivity, we use an underlying Tsallis distribution with a time-dependent nonextensivity parameter q. By taking moments of the quasiparticle Boltzmann equation in the relaxation-time approximation, we obtain dynamical equations which allow us to determine the time evolution of all microscopic parameters including q. We compare numerical solutions for bulk observables obtained using the nonextensive evolution with results obtained using quasiparticle anisotropic hydrodynamics with a Boltzmann distribution function (q → 1). We show that the evolution of the temperature, pressure ratio, and scaled energy density, are quite insensitive to which distribution function is assumed. However, we find significant differences in the early-time evolution of the bulk pressure which are observed for even small deviations from the Boltzmann distribution function. Finally, we discuss the existence of non-conformal hydrodynamic attractors for the longitudinal and transverse pressures, the bulk and shear viscous corrections, and the nonextensivity parameter q.

View Accepted Manuscript (DOE)

Research Organization:: Kent State Univ., Kent, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0013470

OSTI ID:: 2420277

Journal Information:: European Physical Journal. C, Particles and Fields (Online), Journal Name: European Physical Journal. C, Particles and Fields (Online) Journal Issue: 10 Vol. 82; ISSN 1434-6052

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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