Prescaling relaxation to nonthermal attractors

Fuente: arXiv
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Auteurs principaux: Heller, Michal P., Mazeliauskas, Aleksas, Preis, Thimo
Format: Preprint
Publié: 2023
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author Heller, Michal P.
Mazeliauskas, Aleksas
Preis, Thimo
author_facet Heller, Michal P.
Mazeliauskas, Aleksas
Preis, Thimo
contents We study how isotropic and homogeneous far-from-equilibrium quantum systems relax to nonthermal attractors, which are of interest for cold atoms and nuclear collisions. We demonstrate that a first-order ordinary differential equation governs the self-similar approach to nonthermal attractors, i.e., the prescaling. We also show that certain natural scaling-breaking terms induce logarithmically slow corrections that prevent the scaling exponents from reaching the constant values during the system's lifetime. We propose that, analogously to hydrodynamic attractors, the appropriate mathematical structure to describe such dynamics is the transseries. We verify our analytic predictions with state-of-the-art 2PI simulations of the large-N vector model and QCD kinetic theory.
format Preprint
id arxiv_https___arxiv_org_abs_2307_07545
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Prescaling relaxation to nonthermal attractors
Heller, Michal P.
Mazeliauskas, Aleksas
Preis, Thimo
High Energy Physics - Theory
Quantum Gases
High Energy Physics - Phenomenology
Nuclear Theory
We study how isotropic and homogeneous far-from-equilibrium quantum systems relax to nonthermal attractors, which are of interest for cold atoms and nuclear collisions. We demonstrate that a first-order ordinary differential equation governs the self-similar approach to nonthermal attractors, i.e., the prescaling. We also show that certain natural scaling-breaking terms induce logarithmically slow corrections that prevent the scaling exponents from reaching the constant values during the system's lifetime. We propose that, analogously to hydrodynamic attractors, the appropriate mathematical structure to describe such dynamics is the transseries. We verify our analytic predictions with state-of-the-art 2PI simulations of the large-N vector model and QCD kinetic theory.
title Prescaling relaxation to nonthermal attractors
topic High Energy Physics - Theory
Quantum Gases
High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2307.07545