An analytic approach to the RTA Boltzmann attractor
An analytic approach to the RTA Boltzmann attractor
We reformulate the Boltzmann equation in the relaxation time approximation undergoing Bjorken flow in terms of a novel partial differential equation for the generating function of the moments of the distribution function. This is used to obtain an approximate analytic description of this system's far-from-equilibrium attractor via a series expansion at early times. This expansion possesses a finite radius of convergence and can be analytically continued to late times. We find that this procedure reproduces the known values of shear viscosity and other transport coefficients to high accuracy. We also provide a simple approximate analytic expression that describes the attractor in the entire domain of interest for studies of quark-gluon plasma dynamics.
Aniceto, Ines
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Noronha, Jorge
cd9c7cbb-cea8-44b6-b21a-0d224d3edf02
Spaliński, Michał
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Aniceto, Ines
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Noronha, Jorge
cd9c7cbb-cea8-44b6-b21a-0d224d3edf02
Spaliński, Michał
3fabf22d-7873-492c-8bc6-6101c914c2b0
[Unknown type: UNSPECIFIED]
Abstract
We reformulate the Boltzmann equation in the relaxation time approximation undergoing Bjorken flow in terms of a novel partial differential equation for the generating function of the moments of the distribution function. This is used to obtain an approximate analytic description of this system's far-from-equilibrium attractor via a series expansion at early times. This expansion possesses a finite radius of convergence and can be analytically continued to late times. We find that this procedure reproduces the known values of shear viscosity and other transport coefficients to high accuracy. We also provide a simple approximate analytic expression that describes the attractor in the entire domain of interest for studies of quark-gluon plasma dynamics.
Text
2401.06750
- Author's Original
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Accepted/In Press date: 12 January 2024
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Local EPrints ID: 486797
URI: http://eprints.soton.ac.uk/id/eprint/486797
PURE UUID: ca6ccc48-6cbb-4380-a2ef-054362cc82fe
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Date deposited: 06 Feb 2024 17:40
Last modified: 18 Mar 2024 03:50
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Author:
Jorge Noronha
Author:
Michał Spaliński
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