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On thermalization in classical scalar field theory

Gert Aarts Orcid Logo, Gian Franco Bonini, Christof Wetterich

Nuclear Physics B, Volume: "B587", Issue: 1-3, Pages: 403 - 418

Swansea University Author: Gert Aarts Orcid Logo

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DOI (Published version): 10.1016/S0550-3213(00)00447-8

Abstract

Thermalization of classical fields is investigated in a \phi^4 scalar field theory in 1+1 dimensions, discretized on a lattice. We numerically integrate the classical equations of motion using initial conditions sampled from various nonequilibrium probability distributions. Time-dependent expectatio...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 2000
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URI: https://cronfa.swan.ac.uk/Record/cronfa22617
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last_indexed 2018-02-09T05:00:58Z
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spelling 2015-07-21T11:29:13.8298016 v2 22617 2015-07-21 On thermalization in classical scalar field theory 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2015-07-21 BGPS Thermalization of classical fields is investigated in a \phi^4 scalar field theory in 1+1 dimensions, discretized on a lattice. We numerically integrate the classical equations of motion using initial conditions sampled from various nonequilibrium probability distributions. Time-dependent expectation values of observables constructed from the canonical momentum are compared with thermal ones. It is found that a closed system, evolving from one initial condition, thermalizes to high precision in the thermodynamic limit, in a time-averaged sense. For ensembles consisting of many members with the same energy, we find that expectation values become stationary - and equal to the thermal values - in the limit of infinitely many members. Initial ensembles with a nonzero (noncanonical) spread in the energy density or other conserved quantities evolve to noncanonical stationary ensembles. In the case of a narrow spread, asymptotic values of primary observables are only mildly affected. In contrast, fluctuations and connected correlation functions will differ substantially from the canonical values. This raises doubts on the use of a straightforward expansion in terms of 1PI-vertex functions to study thermalization. Journal Article Nuclear Physics B "B587" 1-3 403 418 05503213 31 3 2000 2000-03-31 10.1016/S0550-3213(00)00447-8 http://inspirehep.net/record/525409 @articleAarts:2000mg, author = "Aarts, Gert and Bonini, Gian Franco and Wetterich, Christof", title = "On Thermalization in classical scalar field theory", journal = "Nucl.Phys.", volume = "B587", pages = "403-418", doi = "10.1016/S0550-3213(00)00447-8", year = "2000", eprint = "hep-ph/0003262", archivePrefix = "arXiv", primaryClass = "hep-ph", reportNumber = "HD-THEP-00-20", SLACcitation = "%%CITATION = HEP-PH/0003262;%%", COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University 2015-07-21T11:29:13.8298016 2015-07-21T10:15:11.1792615 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gert Aarts 0000-0002-6038-3782 1 Gian Franco Bonini 2 Christof Wetterich 3
title On thermalization in classical scalar field theory
spellingShingle On thermalization in classical scalar field theory
Gert Aarts
title_short On thermalization in classical scalar field theory
title_full On thermalization in classical scalar field theory
title_fullStr On thermalization in classical scalar field theory
title_full_unstemmed On thermalization in classical scalar field theory
title_sort On thermalization in classical scalar field theory
author_id_str_mv 1ba0dad382dfe18348ec32fc65f3f3de
author_id_fullname_str_mv 1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
author Gert Aarts
author2 Gert Aarts
Gian Franco Bonini
Christof Wetterich
format Journal article
container_title Nuclear Physics B
container_volume "B587"
container_issue 1-3
container_start_page 403
publishDate 2000
institution Swansea University
issn 05503213
doi_str_mv 10.1016/S0550-3213(00)00447-8
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://inspirehep.net/record/525409
document_store_str 0
active_str 0
description Thermalization of classical fields is investigated in a \phi^4 scalar field theory in 1+1 dimensions, discretized on a lattice. We numerically integrate the classical equations of motion using initial conditions sampled from various nonequilibrium probability distributions. Time-dependent expectation values of observables constructed from the canonical momentum are compared with thermal ones. It is found that a closed system, evolving from one initial condition, thermalizes to high precision in the thermodynamic limit, in a time-averaged sense. For ensembles consisting of many members with the same energy, we find that expectation values become stationary - and equal to the thermal values - in the limit of infinitely many members. Initial ensembles with a nonzero (noncanonical) spread in the energy density or other conserved quantities evolve to noncanonical stationary ensembles. In the case of a narrow spread, asymptotic values of primary observables are only mildly affected. In contrast, fluctuations and connected correlation functions will differ substantially from the canonical values. This raises doubts on the use of a straightforward expansion in terms of 1PI-vertex functions to study thermalization.
published_date 2000-03-31T00:51:40Z
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score 11.04748

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