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Optimal stochastic transport in inhomogeneous thermal environments
KTH, School of Computer Science and Communication (CSC), Computational Biology, CB. KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
KTH, School of Computer Science and Communication (CSC), Computational Biology, CB. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
2013 (English)In: Europhysics letters, ISSN 0295-5075, E-ISSN 1286-4854, Vol. 103, no 1, 10010- p.Article in journal (Refereed) Published
Abstract [en]

We consider the optimization of the average entropy production in inhomogeneous temperature environments within the framework of stochastic thermodynamics. For systems modeled by Langevin equations (e.g. a colloidal particle in a heat bath) it has been recently shown that a space-dependent temperature breaks the time reversal symmetry of the fast velocity degrees of freedom resulting in an anomalous contribution to the entropy production of the overdamped dynamics. We show that optimization of entropy production is determined by an auxiliary deterministic problem formally analogous to motion on a curved manifold in a potential. The "anomalous contribution" to entropy plays the role of the potential and the inverse of the diffusion tensor is the metric. We also find that entropy production is not minimized by adiabatically slow, quasi-static protocols but there is a finite optimal duration for the transport process. As an example we discuss the case of a linearly space-dependent diffusion coefficient.

Place, publisher, year, edition, pages
2013. Vol. 103, no 1, 10010- p.
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-127772DOI: 10.1209/0295-5075/103/10010ISI: 000323052300010Scopus ID: 2-s2.0-84880900054OAI: oai:DiVA.org:kth-127772DiVA: diva2:646365
Funder
Swedish Research Council, 621-2012-2982
Note

QC 20130909

Available from: 2013-09-09 Created: 2013-09-05 Last updated: 2017-12-06Bibliographically approved

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Bo, StefanoAurell, ErikEichhorn, Ralf
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CiteExportLink to record
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Citation style
  • apa
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  • vancouver
  • Other style
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  • de-DE
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  • nn-NB
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  • Other locale
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Output format
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