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Stability analysis of nonthermal fixed points in longitudinally expanding kinetic theory

We use the Hamiltonian formulation of kinetic theory to perform a stability analysis of nonthermal fixed points in a non-Abelian plasma. We construct a perturbative expansion of the Fokker-Planck collision kernel in an adiabatic approximation and show that the (next-to-)leading order solutions repro...

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Autores principales: Mikheev, Aleksandr N., Mazeliauskas, Aleksas, Berges, Jürgen
Lenguaje:eng
Publicado: 2022
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.105.116025
http://cds.cern.ch/record/2803257
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author Mikheev, Aleksandr N.
Mazeliauskas, Aleksas
Berges, Jürgen
author_facet Mikheev, Aleksandr N.
Mazeliauskas, Aleksas
Berges, Jürgen
author_sort Mikheev, Aleksandr N.
collection CERN
description We use the Hamiltonian formulation of kinetic theory to perform a stability analysis of nonthermal fixed points in a non-Abelian plasma. We construct a perturbative expansion of the Fokker-Planck collision kernel in an adiabatic approximation and show that the (next-to-)leading order solutions reproduce the known nonthermal fixed point scaling exponents. Working at next-to-leading order, we derive the stability equations for scaling exponents and find the relaxation rate to the nonthermal fixed point. This approach provides the basis for an understanding of the prescaling phenomena observed in QCD kinetic theory and nonrelativistic Bose gas systems.
id cern-2803257
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2022
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spelling cern-28032572023-10-04T08:57:38Zdoi:10.1103/PhysRevD.105.116025http://cds.cern.ch/record/2803257engMikheev, Aleksandr N.Mazeliauskas, AleksasBerges, JürgenStability analysis of nonthermal fixed points in longitudinally expanding kinetic theorynucl-thNuclear Physics - Theorycond-mat.quant-gashep-phParticle Physics - PhenomenologyWe use the Hamiltonian formulation of kinetic theory to perform a stability analysis of nonthermal fixed points in a non-Abelian plasma. We construct a perturbative expansion of the Fokker-Planck collision kernel in an adiabatic approximation and show that the (next-to-)leading order solutions reproduce the known nonthermal fixed point scaling exponents. Working at next-to-leading order, we derive the stability equations for scaling exponents and find the relaxation rate to the nonthermal fixed point. This approach provides the basis for an understanding of the prescaling phenomena observed in QCD kinetic theory and nonrelativistic Bose gas systems.We use the Hamiltonian formulation of kinetic theory to perform a stability analysis of non-thermal fixed points in a non-Abelian plasma. We construct a perturbative expansion of the Fokker-Planck collision kernel in an adiabatic approximation and show that the (next-to-)leading order solutions reproduce the known non-thermal fixed point scaling exponents. Working at next-to-leading order, we derive the stability equations for scaling exponents and find the relaxation rate to the non-thermal fixed point. This approach provides the basis for an understanding of the prescaling phenomena observed in QCD kinetic theory and non-relativistic Bose gas systems.arXiv:2203.02299CERN-TH-2022-030oai:cds.cern.ch:28032572022-03-04
spellingShingle nucl-th
Nuclear Physics - Theory
cond-mat.quant-gas
hep-ph
Particle Physics - Phenomenology
Mikheev, Aleksandr N.
Mazeliauskas, Aleksas
Berges, Jürgen
Stability analysis of nonthermal fixed points in longitudinally expanding kinetic theory
title Stability analysis of nonthermal fixed points in longitudinally expanding kinetic theory
title_full Stability analysis of nonthermal fixed points in longitudinally expanding kinetic theory
title_fullStr Stability analysis of nonthermal fixed points in longitudinally expanding kinetic theory
title_full_unstemmed Stability analysis of nonthermal fixed points in longitudinally expanding kinetic theory
title_short Stability analysis of nonthermal fixed points in longitudinally expanding kinetic theory
title_sort stability analysis of nonthermal fixed points in longitudinally expanding kinetic theory
topic nucl-th
Nuclear Physics - Theory
cond-mat.quant-gas
hep-ph
Particle Physics - Phenomenology
url https://dx.doi.org/10.1103/PhysRevD.105.116025
http://cds.cern.ch/record/2803257
work_keys_str_mv AT mikheevaleksandrn stabilityanalysisofnonthermalfixedpointsinlongitudinallyexpandingkinetictheory
AT mazeliauskasaleksas stabilityanalysisofnonthermalfixedpointsinlongitudinallyexpandingkinetictheory
AT bergesjurgen stabilityanalysisofnonthermalfixedpointsinlongitudinallyexpandingkinetictheory