Role of parity transformation for the fluctuation theorem: limit cycle and symmetry breaking

The fluctuation theorem of the Crooks type is studied for thermodynamic nonlinear-multivariate systems. In particular, a bivariate system having a limit cycle is discussed in detail. It is explicitly shown how the time reversal operation has to be combined with the parity transformation in order to...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2014-02, Vol.89 (2), p.022124-022124, Article 022124
1. Verfasser: Matsuo, Yasuyuki
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 022124
container_issue 2
container_start_page 022124
container_title Physical review. E, Statistical, nonlinear, and soft matter physics
container_volume 89
creator Matsuo, Yasuyuki
description The fluctuation theorem of the Crooks type is studied for thermodynamic nonlinear-multivariate systems. In particular, a bivariate system having a limit cycle is discussed in detail. It is explicitly shown how the time reversal operation has to be combined with the parity transformation in order to derive the fluctuation theorem for the change of the "renormalized entropy." Furthermore, breakdown of the symmetry in a limit-cycle model due to the effect of fluctuations is also discussed.
doi_str_mv 10.1103/PhysRevE.89.022124
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1639975292</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1639975292</sourcerecordid><originalsourceid>FETCH-LOGICAL-c298t-8e869aa7e37b6822cce755e597fdb50a215c75036f7ace23176a9cac356211463</originalsourceid><addsrcrecordid>eNo9kEtLAzEUhYMotlb_gAvJ0s3UPCbJxJ2U-oCCUnQnhEx6x47OoyYZYf69U6a6uudezjlcPoQuKZlTSvjNy7YPa_hZzjM9J4xRlh6hKRWCJIwrebzXXCdcCTFBZyF8EsIZz9JTNGGCC55yPUXv67YC3BZ4Z30Zexy9bULR-trGsm3woHDcAi6qzsVuvA1766G-xVVZlxG73g0Nttng0Nc1RN_j3IP9KpuPc3RS2CrAxWHO0Nv98nXxmKyeH54Wd6vEMZ3FJINMamsVcJXLjDHnYPgZhFbFJhfEMiqcEoTLQlkHjFMlrXbWcSEZpankM3Q99u58-91BiKYug4Oqsg20XTBUcq2VYJoNVjZanW9D8FCYnS9r63tDidlTNX9UTabNSHUIXR36u7yGzX_kDyP_BeAPdcY</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1639975292</pqid></control><display><type>article</type><title>Role of parity transformation for the fluctuation theorem: limit cycle and symmetry breaking</title><source>American Physical Society Journals</source><creator>Matsuo, Yasuyuki</creator><creatorcontrib>Matsuo, Yasuyuki</creatorcontrib><description>The fluctuation theorem of the Crooks type is studied for thermodynamic nonlinear-multivariate systems. In particular, a bivariate system having a limit cycle is discussed in detail. It is explicitly shown how the time reversal operation has to be combined with the parity transformation in order to derive the fluctuation theorem for the change of the "renormalized entropy." Furthermore, breakdown of the symmetry in a limit-cycle model due to the effect of fluctuations is also discussed.</description><identifier>ISSN: 1539-3755</identifier><identifier>EISSN: 1550-2376</identifier><identifier>DOI: 10.1103/PhysRevE.89.022124</identifier><identifier>PMID: 25353439</identifier><language>eng</language><publisher>United States</publisher><ispartof>Physical review. E, Statistical, nonlinear, and soft matter physics, 2014-02, Vol.89 (2), p.022124-022124, Article 022124</ispartof><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c298t-8e869aa7e37b6822cce755e597fdb50a215c75036f7ace23176a9cac356211463</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,2863,2864,27901,27902</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/25353439$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Matsuo, Yasuyuki</creatorcontrib><title>Role of parity transformation for the fluctuation theorem: limit cycle and symmetry breaking</title><title>Physical review. E, Statistical, nonlinear, and soft matter physics</title><addtitle>Phys Rev E Stat Nonlin Soft Matter Phys</addtitle><description>The fluctuation theorem of the Crooks type is studied for thermodynamic nonlinear-multivariate systems. In particular, a bivariate system having a limit cycle is discussed in detail. It is explicitly shown how the time reversal operation has to be combined with the parity transformation in order to derive the fluctuation theorem for the change of the "renormalized entropy." Furthermore, breakdown of the symmetry in a limit-cycle model due to the effect of fluctuations is also discussed.</description><issn>1539-3755</issn><issn>1550-2376</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNo9kEtLAzEUhYMotlb_gAvJ0s3UPCbJxJ2U-oCCUnQnhEx6x47OoyYZYf69U6a6uudezjlcPoQuKZlTSvjNy7YPa_hZzjM9J4xRlh6hKRWCJIwrebzXXCdcCTFBZyF8EsIZz9JTNGGCC55yPUXv67YC3BZ4Z30Zexy9bULR-trGsm3woHDcAi6qzsVuvA1766G-xVVZlxG73g0Nttng0Nc1RN_j3IP9KpuPc3RS2CrAxWHO0Nv98nXxmKyeH54Wd6vEMZ3FJINMamsVcJXLjDHnYPgZhFbFJhfEMiqcEoTLQlkHjFMlrXbWcSEZpankM3Q99u58-91BiKYug4Oqsg20XTBUcq2VYJoNVjZanW9D8FCYnS9r63tDidlTNX9UTabNSHUIXR36u7yGzX_kDyP_BeAPdcY</recordid><startdate>201402</startdate><enddate>201402</enddate><creator>Matsuo, Yasuyuki</creator><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope></search><sort><creationdate>201402</creationdate><title>Role of parity transformation for the fluctuation theorem: limit cycle and symmetry breaking</title><author>Matsuo, Yasuyuki</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c298t-8e869aa7e37b6822cce755e597fdb50a215c75036f7ace23176a9cac356211463</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><toplevel>online_resources</toplevel><creatorcontrib>Matsuo, Yasuyuki</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Physical review. E, Statistical, nonlinear, and soft matter physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Matsuo, Yasuyuki</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Role of parity transformation for the fluctuation theorem: limit cycle and symmetry breaking</atitle><jtitle>Physical review. E, Statistical, nonlinear, and soft matter physics</jtitle><addtitle>Phys Rev E Stat Nonlin Soft Matter Phys</addtitle><date>2014-02</date><risdate>2014</risdate><volume>89</volume><issue>2</issue><spage>022124</spage><epage>022124</epage><pages>022124-022124</pages><artnum>022124</artnum><issn>1539-3755</issn><eissn>1550-2376</eissn><abstract>The fluctuation theorem of the Crooks type is studied for thermodynamic nonlinear-multivariate systems. In particular, a bivariate system having a limit cycle is discussed in detail. It is explicitly shown how the time reversal operation has to be combined with the parity transformation in order to derive the fluctuation theorem for the change of the "renormalized entropy." Furthermore, breakdown of the symmetry in a limit-cycle model due to the effect of fluctuations is also discussed.</abstract><cop>United States</cop><pmid>25353439</pmid><doi>10.1103/PhysRevE.89.022124</doi><tpages>1</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1539-3755
ispartof Physical review. E, Statistical, nonlinear, and soft matter physics, 2014-02, Vol.89 (2), p.022124-022124, Article 022124
issn 1539-3755
1550-2376
language eng
recordid cdi_proquest_miscellaneous_1639975292
source American Physical Society Journals
title Role of parity transformation for the fluctuation theorem: limit cycle and symmetry breaking
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-08T04%3A39%3A10IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Role%20of%20parity%20transformation%20for%20the%20fluctuation%20theorem:%20limit%20cycle%20and%20symmetry%20breaking&rft.jtitle=Physical%20review.%20E,%20Statistical,%20nonlinear,%20and%20soft%20matter%20physics&rft.au=Matsuo,%20Yasuyuki&rft.date=2014-02&rft.volume=89&rft.issue=2&rft.spage=022124&rft.epage=022124&rft.pages=022124-022124&rft.artnum=022124&rft.issn=1539-3755&rft.eissn=1550-2376&rft_id=info:doi/10.1103/PhysRevE.89.022124&rft_dat=%3Cproquest_cross%3E1639975292%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1639975292&rft_id=info:pmid/25353439&rfr_iscdi=true