Analysis of the relativistic brownian motion in momentum space

Detalhes bibliográficos
Autor(a) principal: Fa,Kwok Sau
Data de Publicação: 2006
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Brazilian Journal of Physics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332006000500035
Resumo: We investigate the relativistic Brownian motion in the context of Fokker-Planck equation. Due to the multiplicative noise term of the corresponding relativistic Langevin equation many Fokker-Planck equations can be generated. Here, we only consider the Ito, Stratonovich and Hänggi-Klimontovich approaches. We analyze the behaviors of the second moment of momentum in terms of temperature. We show that the second moment increases with the temperature T for all three approaches. Also, we present differential equations for more complicated averages of the momentum. In a specific case, in the Ito approach, we can obtain an analytical solution of the temporal evolution of an average of the momentum. We present approximate solutions for the probability density for all three cases.
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spelling Analysis of the relativistic brownian motion in momentum spaceRelativistic Brownian motionLangevin equationFokker-Planck equationWe investigate the relativistic Brownian motion in the context of Fokker-Planck equation. Due to the multiplicative noise term of the corresponding relativistic Langevin equation many Fokker-Planck equations can be generated. Here, we only consider the Ito, Stratonovich and Hänggi-Klimontovich approaches. We analyze the behaviors of the second moment of momentum in terms of temperature. We show that the second moment increases with the temperature T for all three approaches. Also, we present differential equations for more complicated averages of the momentum. In a specific case, in the Ito approach, we can obtain an analytical solution of the temporal evolution of an average of the momentum. We present approximate solutions for the probability density for all three cases.Sociedade Brasileira de Física2006-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332006000500035Brazilian Journal of Physics v.36 n.3a 2006reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332006000500035info:eu-repo/semantics/openAccessFa,Kwok Saueng2006-10-16T00:00:00Zoai:scielo:S0103-97332006000500035Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2006-10-16T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Analysis of the relativistic brownian motion in momentum space
title Analysis of the relativistic brownian motion in momentum space
spellingShingle Analysis of the relativistic brownian motion in momentum space
Fa,Kwok Sau
Relativistic Brownian motion
Langevin equation
Fokker-Planck equation
title_short Analysis of the relativistic brownian motion in momentum space
title_full Analysis of the relativistic brownian motion in momentum space
title_fullStr Analysis of the relativistic brownian motion in momentum space
title_full_unstemmed Analysis of the relativistic brownian motion in momentum space
title_sort Analysis of the relativistic brownian motion in momentum space
author Fa,Kwok Sau
author_facet Fa,Kwok Sau
author_role author
dc.contributor.author.fl_str_mv Fa,Kwok Sau
dc.subject.por.fl_str_mv Relativistic Brownian motion
Langevin equation
Fokker-Planck equation
topic Relativistic Brownian motion
Langevin equation
Fokker-Planck equation
description We investigate the relativistic Brownian motion in the context of Fokker-Planck equation. Due to the multiplicative noise term of the corresponding relativistic Langevin equation many Fokker-Planck equations can be generated. Here, we only consider the Ito, Stratonovich and Hänggi-Klimontovich approaches. We analyze the behaviors of the second moment of momentum in terms of temperature. We show that the second moment increases with the temperature T for all three approaches. Also, we present differential equations for more complicated averages of the momentum. In a specific case, in the Ito approach, we can obtain an analytical solution of the temporal evolution of an average of the momentum. We present approximate solutions for the probability density for all three cases.
publishDate 2006
dc.date.none.fl_str_mv 2006-09-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332006000500035
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332006000500035
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97332006000500035
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Brazilian Journal of Physics v.36 n.3a 2006
reponame:Brazilian Journal of Physics
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Brazilian Journal of Physics
collection Brazilian Journal of Physics
repository.name.fl_str_mv Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br
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