Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/6839
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dc.contributor.authorBhat, Deepak-
dc.contributor.authorSabhapandit, Sanjib-
dc.contributor.authorKundu, Anupam-
dc.contributor.authorDhar, Abhishek-
dc.date.accessioned2018-02-22T13:12:35Z-
dc.date.available2018-02-22T13:12:35Z-
dc.date.issued2017-11-29-
dc.identifier.citationJournal of Statistical Mechanics: Theory and Experiment, 2017, P113210en_US
dc.identifier.issn1742-5468-
dc.identifier.urihttp://hdl.handle.net/2289/6839-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en_US
dc.description.abstractWe consider a particle in a one-dimensional box of length L with a Maxwell bath at one end and a reflecting wall at the other end. Using a renewal approach, as well as directly solving the master equation, we show that the system exhibits a slow power law relaxation with a logarithmic correction towards the final equilibrium state. We extend the renewal approach to a class of confining potentials of the form U(x)∝xα, x>0, where we find that the relaxation is ∼t−(α+2)/(α−2) for α>2, with a logarithmic correction when (α+2)/(α−2) is an integer. For α<2 the relaxation is exponential. Interestingly for α=2 (harmonic potential) the localised bath can not equilibrate the particle.en_US
dc.language.isoenen_US
dc.publisherIOP Publishing and SISSAen_US
dc.relation.urihttp://arxiv.org/abs/1707.00814en_US
dc.relation.urihttp://dx.doi.org/10.1088/1742-5468/aa9683en_US
dc.relation.urihttp://adsabs.harvard.edu/abs/2017JSMTE..11.3210Ben_US
dc.rights2017 IOP Publishing and SISSA Medialab srlen_US
dc.subjectFluctuation Phenomenaen_US
dc.subjectGas dynamicsen_US
dc.subjectStochastic particle dynamicsen_US
dc.titleUnusual equilibration of a particle in a potential with a thermal wallen_US
dc.typeArticleen_US
Appears in Collections:Research Papers (TP)

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