Transasymptotics and hydrodynamization of the Fokker-Planck equation for gluons

Behtash, A.; Kamata, S.; Martinez, M.; Schäfer, T.; Skokov, V.

doi:10.1103/PhysRevD.103.056010

Title: Transasymptotics and hydrodynamization of the Fokker-Planck equation for gluons

Journal Article · Mon Mar 15 00:00:00 EDT 2021 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.103.056010· OSTI ID:1779332

Behtash, A.; Kamata, S.;

;

We investigate the non-linear transport processes and hydrodynamization of a system of gluons undergoing longitudinal boost-invariant expansion. The dynamics is described within the framework of the Boltzmann equation in the small-angle approximation. The kinetic equations for a suitable set of moments of the one-particle distribution function are derived. By investigating the stability and asymptotic resurgent properties of this dynamical system, we demonstrate, that its solutions exhibit a rather different behavior for large (UV) and small (IR) effective Knudsen numbers. Close to the forward attractor in the IR regime the constitutive relations of each moment can be written as a multiparameter transseries. This resummation scheme allows us to extend the definition of a trans- port coefficient to the non-equilibrium regime naturally. Each transport coefficients is renormalized by the non-perturbative contributions of the non-hydrodynamic modes. The Knudsen number de- pendence of the transport coefficient is governed by the corresponding renormalization group flow equation. An interesting feature of the Yang-Mills plasma in this regime is that it exhibits transient non-Newtonian behavior while hydrodynamizing. In the UV regime the solution for the moments can be written as a power-law asymptotic series with a finite radius of convergence. We show that radius of convergence of the UV perturbative expansion grows linearly as a function of the shear viscosity to entropy density ratio. Finally, we compare the universal properties in the pullback and forward attracting regions to other kinetic models including the relaxation time approximation and the effective kinetic Arnold-Moore-Yaffe (AMY) theory.

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Research Organization:: North Carolina State University, Raleigh, NC (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)

Grant/Contract Number:: FG02-03ER41260; SC0013036; SC0020081; NSF PHY-1125915

OSTI ID:: 1779332

Alternate ID(s):: OSTI ID: 1773978; OSTI ID: 1777926

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 103 Journal Issue: 5; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Journal Article · Thu Jul 30 00:00:00 EDT 2020 · Journal of High Energy Physics (Online) · OSTI ID:1779332

Behtash, Alireza; Kamata, Syo; Martinez, Mauricio; +1 more

Non-perturbative rheological behavior of a far-from-equilibrium expanding plasma

Journal Article · Tue Oct 01 00:00:00 EDT 2019 · Physics Letters B · OSTI ID:1779332

Behtash, Alireza; Cruz-Camacho, C. N.; Kamata, Syo; +1 more

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Effective field theory
Relativistic kinetic theory
Resummation methods
Dynamical systems
Chaos & nonlinear dynamics
Phase space methods
Relativistic hydrodynamics

Title: Transasymptotics and hydrodynamization of the Fokker-Planck equation for gluons

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