Document Zbl 1194.60047

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Stat. Phys.</a> <a href="/?q=in%3A187026" title="Articles in this Issue">123, No. 4, 831-859 (2006)</a>. </div> <div class="abstract">Many physical systems are described by a stochastic differential equation involving coefficient dependent on the state on the one hand, and periodic with respect to time on the other hand. The paper deals with the discrete version of this equation, which describes a discrete-time Markov chain with time-periodic transition matrices, referred to as a periodically inhomogeneous Markov chain. One analyzes successively periodic reversibility, detailed balance, entropy production rate, circulation distribution and the mutual relations which might exist between them. The relationship between Brownian motors and time-periodic Markov chains is investigated.<div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A3639">Guy Jumarie (Montréal)</a></div> <div class="clearfix"></div></div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A5068717">Cited in <strong>6</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A60J10" title="MSC2020">60J10</a> </td> <td class="space"> Markov chains (discrete-time Markov processes on discrete state spaces) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A82C31" title="MSC2020">82C31</a> </td> <td class="space"> Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3ABrownian+motor">Brownian motor</a>; <a href="/?q=ut%3Atime-periodic+Markov+chain">time-periodic Markov chain</a>; <a href="/?q=ut%3Aperiodical+reversibility">periodical reversibility</a>; <a href="/?q=ut%3Adetailed+balance">detailed balance</a>; <a href="/?q=ut%3Aentropy+production">entropy production</a>; <a href="/?q=ut%3Acirculation">circulation</a>; <a href="/?q=ut%3Afluctuation+theorem">fluctuation theorem</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1194.60047" data-ciurl="/ci/05068717" data-biburl="/bibtex/05068717.bib" data-amsurl="/amsrefs/05068717.bib" data-xmlurl="/xml/05068717.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05068717.pdf" title="Zbl 1194.60047 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10955-006-9099-6" aria-label="DOI for “A simple discrete model of Brownian motors: time-periodic Markov chains”" title="10.1007/s10955-006-9099-6">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">R. 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