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Slowed exclusion process : hydrodynamics, fluctuations and phase transitions

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Resumo:This is a short survey on recent results obtained by the authors on dynamical phase transitions of interacting particle systems. We consider particle systems with exclusion dynamics, but it is conjectured that our results should hold for a general class of particle systems. The parameter giving rise to the phase transition is the ``slowness" of a single bond in the discrete lattice. The phase transition is verified not only in the hydrodynamics, but also in the fluctuations of the density, the current and the tagged particle. Moreover, we found a phase transition in the continuum, that is, at the level of the hydrodynamic equations, in agreement with the dynamical phase transition for the particle systems.
Autores principais:Franco, Tertuliano
Outros Autores:Gonçalves, Patrícia; Neumann, Adriana
Assunto:Phase transitions Slowed exclusion
Ano:2014
País:Portugal
Tipo de documento:comunicação em conferência
Tipo de acesso:acesso aberto
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho
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author Franco, Tertuliano
author2 Gonçalves, Patrícia
Neumann, Adriana
author2_role author
author
author_facet Franco, Tertuliano
Gonçalves, Patrícia
Neumann, Adriana
author_role author
contributor_name_str_mv Universidade do Minho
country_str PT
creators_json_txt [{\"Person.name\":\"Franco, Tertuliano\"},{\"Person.name\":\"Gonçalves, Patrícia\"},{\"Person.name\":\"Neumann, Adriana\"}]
datacite.contributors.contributor.contributorName.fl_str_mv Universidade do Minho
datacite.creators.creator.creatorName.fl_str_mv Franco, Tertuliano
Gonçalves, Patrícia
Neumann, Adriana
datacite.date.Accepted.fl_str_mv 2014-01-01T00:00:00Z
datacite.date.available.fl_str_mv 2013-09-23T09:14:58Z
datacite.date.embargoed.fl_str_mv 2013-09-23T09:14:58Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_abf2
datacite.subjects.subject.fl_str_mv Phase transitions
Slowed exclusion
datacite.titles.title.fl_str_mv Slowed exclusion process : hydrodynamics, fluctuations and phase transitions
dc.contributor.none.fl_str_mv Universidade do Minho
dc.creator.none.fl_str_mv Franco, Tertuliano
Gonçalves, Patrícia
Neumann, Adriana
dc.date.Accepted.fl_str_mv 2014-01-01T00:00:00Z
dc.date.available.fl_str_mv 2013-09-23T09:14:58Z
dc.date.embargoed.fl_str_mv 2013-09-23T09:14:58Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv https://hdl.handle.net/1822/25235
dc.language.none.fl_str_mv eng
dc.publisher.none.fl_str_mv Springer
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.subject.none.fl_str_mv Phase transitions
Slowed exclusion
dc.title.fl_str_mv Slowed exclusion process : hydrodynamics, fluctuations and phase transitions
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_5794
description This is a short survey on recent results obtained by the authors on dynamical phase transitions of interacting particle systems. We consider particle systems with exclusion dynamics, but it is conjectured that our results should hold for a general class of particle systems. The parameter giving rise to the phase transition is the ``slowness" of a single bond in the discrete lattice. The phase transition is verified not only in the hydrodynamics, but also in the fluctuations of the density, the current and the tagged particle. Moreover, we found a phase transition in the continuum, that is, at the level of the hydrodynamic equations, in agreement with the dynamical phase transition for the particle systems.
dirty 0
eu_rights_str_mv openAccess
format conferencePaper
fulltext.url.fl_str_mv https://prod-dspace.uminho.pt/bitstreams/c6c2dfbb-8dda-4025-b4b9-c66b5fcc6fe5/download
id rum_4e0bc541d3efb756eb32d67607cb7b49
identifier.url.fl_str_mv https://hdl.handle.net/1822/25235
instacron_str repositorium
institution Universidade do Minho
instname_str Universidade do Minho
language eng
network_acronym_str rum
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oai_identifier_str oai:repositorium.uminho.pt:1822/25235
organization_str_mv urn:organizationAcronym:repositorium
person_str_mv Franco, Tertuliano
Gonçalves, Patrícia
Neumann, Adriana
publishDate 2014
publisher.none.fl_str_mv Springer
reponame_str RepositóriUM - Universidade do Minho
repository_id_str urn:repositoryAcronym:rum
service_str_mv urn:repositoryAcronym:rum
spelling engSpringerporThis is a short survey on recent results obtained by the authors on dynamical phase transitions of interacting particle systems. We consider particle systems with exclusion dynamics, but it is conjectured that our results should hold for a general class of particle systems. The parameter giving rise to the phase transition is the ``slowness" of a single bond in the discrete lattice. The phase transition is verified not only in the hydrodynamics, but also in the fluctuations of the density, the current and the tagged particle. Moreover, we found a phase transition in the continuum, that is, at the level of the hydrodynamic equations, in agreement with the dynamical phase transition for the particle systems.application/pdfporSlowed exclusion process : hydrodynamics, fluctuations and phase transitionsFranco, TertulianoGonçalves, PatríciaNeumann, AdrianaHostingInstitutionOrganizationalUniversidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptISBNIsPartOf9783642542701ISSNIsPartOf2194-1009DOIIsPartOf10.1007/978-3-642-54271-8_82013-09-23T09:14:58Z20142014-01-01T00:00:00ZHandlehttps://hdl.handle.net/1822/25235http://purl.org/coar/access_right/c_abf2open accessPhase transitionsSlowed exclusion161951 bytesother research producthttp://purl.org/coar/resource_type/c_5794conference paperhttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://prod-dspace.uminho.pt/bitstreams/c6c2dfbb-8dda-4025-b4b9-c66b5fcc6fe5/download
spellingShingle Slowed exclusion process : hydrodynamics, fluctuations and phase transitions
Franco, Tertuliano
Phase transitions
Slowed exclusion
status SINGLETON
subject.fl_str_mv Phase transitions
Slowed exclusion
title Slowed exclusion process : hydrodynamics, fluctuations and phase transitions
title_full Slowed exclusion process : hydrodynamics, fluctuations and phase transitions
title_fullStr Slowed exclusion process : hydrodynamics, fluctuations and phase transitions
title_full_unstemmed Slowed exclusion process : hydrodynamics, fluctuations and phase transitions
title_short Slowed exclusion process : hydrodynamics, fluctuations and phase transitions
title_sort Slowed exclusion process : hydrodynamics, fluctuations and phase transitions
topic Phase transitions
Slowed exclusion
topic_facet Phase transitions
Slowed exclusion
url https://hdl.handle.net/1822/25235
visible 1