Entropy production in linear Langevin systems

We study the entropy production rate in systems described by linear Langevin equations, containing mixed even and odd variables under time reversal. Exact formulas are derived for several important quantities in terms only of the means and covariances of the random variables in question. These inclu...

Full description

Saved in:
Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2013-10, Vol.46 (39), p.395001-18
Main Authors: Landi, Gabriel T, Tomé, Tânia, de Oliveira, Mário J
Format: Article
Language:English
Subjects:
Electric circuits
electrical circuits
Entropy
entropy production
Flux
Langevin equation
Mathematical analysis
Random variables
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c331t-a7b0f148869de54b2047f59a037a05dc0dd3875a8fe0cb7be674bfa66492f4763
cites cdi_FETCH-LOGICAL-c331t-a7b0f148869de54b2047f59a037a05dc0dd3875a8fe0cb7be674bfa66492f4763
container_end_page 18
container_issue 39
container_start_page 395001
container_title Journal of physics. A, Mathematical and theoretical
container_volume 46
creator Landi, Gabriel T
Tomé, Tânia
de Oliveira, Mário J
description We study the entropy production rate in systems described by linear Langevin equations, containing mixed even and odd variables under time reversal. Exact formulas are derived for several important quantities in terms only of the means and covariances of the random variables in question. These include the total rate of change of the entropy, the entropy production rate, the entropy flux rate and the three components of the entropy production. All equations are cast in a way suitable for large-scale analysis of linear Langevin systems. Our results are also applied to different types of electrical circuits, which suitably illustrate the most relevant aspects of the problem.
doi_str_mv 10.1088/1751-8113/46/39/395001
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1669901160</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1669901160</sourcerecordid><originalsourceid>FETCH-LOGICAL-c331t-a7b0f148869de54b2047f59a037a05dc0dd3875a8fe0cb7be674bfa66492f4763</originalsourceid><addsrcrecordid>eNqFUE1Lw0AQXUTBWv0LkqOX2Jns91FK_YCAFz0vm2RXUtJs3E2E_ntTUrwKAzPDvPeY9wi5R3hEUGqDkmOuEOmGiQ3Vc3EAvCCr86HAy78Z6TW5SWkPwBnoYkXyXT_GMByzIYZmqsc29FnbZ13bOxuz0vZf7mfe0zGN7pBuyZW3XXJ3574mn8-7j-1rXr6_vG2fyrymFMfcygo8MqWEbhxnVQFMeq4tUGmBNzU0DVWSW-Ud1JWsnJCs8lYIpgvPpKBr8rDozl99Ty6N5tCm2nWd7V2YkkEhtAZEATNULNA6hpSi82aI7cHGo0Ewp3zMybo5WTdMGKrNks9MLBZiGwazD1PsZ0f_kX4BCOlmYw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1669901160</pqid></control><display><type>article</type><title>Entropy production in linear Langevin systems</title><source>Institute of Physics:Jisc Collections:IOP Publishing Read and Publish 2024-2025 (Reading List)</source><creator>Landi, Gabriel T ; Tomé, Tânia ; de Oliveira, Mário J</creator><creatorcontrib>Landi, Gabriel T ; Tomé, Tânia ; de Oliveira, Mário J</creatorcontrib><description>We study the entropy production rate in systems described by linear Langevin equations, containing mixed even and odd variables under time reversal. Exact formulas are derived for several important quantities in terms only of the means and covariances of the random variables in question. These include the total rate of change of the entropy, the entropy production rate, the entropy flux rate and the three components of the entropy production. All equations are cast in a way suitable for large-scale analysis of linear Langevin systems. Our results are also applied to different types of electrical circuits, which suitably illustrate the most relevant aspects of the problem.</description><identifier>ISSN: 1751-8113</identifier><identifier>EISSN: 1751-8121</identifier><identifier>DOI: 10.1088/1751-8113/46/39/395001</identifier><identifier>CODEN: JPHAC5</identifier><language>eng</language><publisher>IOP Publishing</publisher><subject>Electric circuits ; electrical circuits ; Entropy ; entropy production ; Flux ; Langevin equation ; Mathematical analysis ; Random variables</subject><ispartof>Journal of physics. A, Mathematical and theoretical, 2013-10, Vol.46 (39), p.395001-18</ispartof><rights>2013 IOP Publishing Ltd</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c331t-a7b0f148869de54b2047f59a037a05dc0dd3875a8fe0cb7be674bfa66492f4763</citedby><cites>FETCH-LOGICAL-c331t-a7b0f148869de54b2047f59a037a05dc0dd3875a8fe0cb7be674bfa66492f4763</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Landi, Gabriel T</creatorcontrib><creatorcontrib>Tomé, Tânia</creatorcontrib><creatorcontrib>de Oliveira, Mário J</creatorcontrib><title>Entropy production in linear Langevin systems</title><title>Journal of physics. A, Mathematical and theoretical</title><addtitle>JPhysA</addtitle><addtitle>J. Phys. A: Math. Theor</addtitle><description>We study the entropy production rate in systems described by linear Langevin equations, containing mixed even and odd variables under time reversal. Exact formulas are derived for several important quantities in terms only of the means and covariances of the random variables in question. These include the total rate of change of the entropy, the entropy production rate, the entropy flux rate and the three components of the entropy production. All equations are cast in a way suitable for large-scale analysis of linear Langevin systems. Our results are also applied to different types of electrical circuits, which suitably illustrate the most relevant aspects of the problem.</description><subject>Electric circuits</subject><subject>electrical circuits</subject><subject>Entropy</subject><subject>entropy production</subject><subject>Flux</subject><subject>Langevin equation</subject><subject>Mathematical analysis</subject><subject>Random variables</subject><issn>1751-8113</issn><issn>1751-8121</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNqFUE1Lw0AQXUTBWv0LkqOX2Jns91FK_YCAFz0vm2RXUtJs3E2E_ntTUrwKAzPDvPeY9wi5R3hEUGqDkmOuEOmGiQ3Vc3EAvCCr86HAy78Z6TW5SWkPwBnoYkXyXT_GMByzIYZmqsc29FnbZ13bOxuz0vZf7mfe0zGN7pBuyZW3XXJ3574mn8-7j-1rXr6_vG2fyrymFMfcygo8MqWEbhxnVQFMeq4tUGmBNzU0DVWSW-Ud1JWsnJCs8lYIpgvPpKBr8rDozl99Ty6N5tCm2nWd7V2YkkEhtAZEATNULNA6hpSi82aI7cHGo0Ewp3zMybo5WTdMGKrNks9MLBZiGwazD1PsZ0f_kX4BCOlmYw</recordid><startdate>20131004</startdate><enddate>20131004</enddate><creator>Landi, Gabriel T</creator><creator>Tomé, Tânia</creator><creator>de Oliveira, Mário J</creator><general>IOP Publishing</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20131004</creationdate><title>Entropy production in linear Langevin systems</title><author>Landi, Gabriel T ; Tomé, Tânia ; de Oliveira, Mário J</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c331t-a7b0f148869de54b2047f59a037a05dc0dd3875a8fe0cb7be674bfa66492f4763</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Electric circuits</topic><topic>electrical circuits</topic><topic>Entropy</topic><topic>entropy production</topic><topic>Flux</topic><topic>Langevin equation</topic><topic>Mathematical analysis</topic><topic>Random variables</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Landi, Gabriel T</creatorcontrib><creatorcontrib>Tomé, Tânia</creatorcontrib><creatorcontrib>de Oliveira, Mário J</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of physics. A, Mathematical and theoretical</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Landi, Gabriel T</au><au>Tomé, Tânia</au><au>de Oliveira, Mário J</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Entropy production in linear Langevin systems</atitle><jtitle>Journal of physics. A, Mathematical and theoretical</jtitle><stitle>JPhysA</stitle><addtitle>J. Phys. A: Math. Theor</addtitle><date>2013-10-04</date><risdate>2013</risdate><volume>46</volume><issue>39</issue><spage>395001</spage><epage>18</epage><pages>395001-18</pages><issn>1751-8113</issn><eissn>1751-8121</eissn><coden>JPHAC5</coden><abstract>We study the entropy production rate in systems described by linear Langevin equations, containing mixed even and odd variables under time reversal. Exact formulas are derived for several important quantities in terms only of the means and covariances of the random variables in question. These include the total rate of change of the entropy, the entropy production rate, the entropy flux rate and the three components of the entropy production. All equations are cast in a way suitable for large-scale analysis of linear Langevin systems. Our results are also applied to different types of electrical circuits, which suitably illustrate the most relevant aspects of the problem.</abstract><pub>IOP Publishing</pub><doi>10.1088/1751-8113/46/39/395001</doi><tpages>18</tpages></addata></record>
fulltext fulltext
identifier ISSN: 1751-8113
ispartof Journal of physics. A, Mathematical and theoretical, 2013-10, Vol.46 (39), p.395001-18
issn 1751-8113
1751-8121
language eng
recordid cdi_proquest_miscellaneous_1669901160
source Institute of Physics:Jisc Collections:IOP Publishing Read and Publish 2024-2025 (Reading List)
subjects Electric circuits
electrical circuits
Entropy
entropy production
Flux
Langevin equation
Mathematical analysis
Random variables
title Entropy production in linear Langevin systems
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-04T10%3A52%3A02IST&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=Entropy%20production%20in%20linear%20Langevin%20systems&rft.jtitle=Journal%20of%20physics.%20A,%20Mathematical%20and%20theoretical&rft.au=Landi,%20Gabriel%20T&rft.date=2013-10-04&rft.volume=46&rft.issue=39&rft.spage=395001&rft.epage=18&rft.pages=395001-18&rft.issn=1751-8113&rft.eissn=1751-8121&rft.coden=JPHAC5&rft_id=info:doi/10.1088/1751-8113/46/39/395001&rft_dat=%3Cproquest_cross%3E1669901160%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c331t-a7b0f148869de54b2047f59a037a05dc0dd3875a8fe0cb7be674bfa66492f4763%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=1669901160&rft_id=info:pmid/&rfr_iscdi=true