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Optimal Protocols and Optimal Transport in Stochastic Thermodynamics
KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre. KTH, School of Computer Science and Communication (CSC), Computational Biology, CB.
2011 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 106, no 25, 250601- p.Article in journal (Refereed) Published
Abstract [en]

Thermodynamics of small systems has become an important field of statistical physics. Such systems are driven out of equilibrium by a control, and the question is naturally posed how such a control can be optimized. We show that optimization problems in small system thermodynamics are solved by (deterministic) optimal transport, for which very efficient numerical methods have been developed, and of which there are applications in cosmology, fluid mechanics, logistics, and many other fields. We show, in particular, that minimizing expected heat released or work done during a nonequilibrium transition in finite time is solved by the Burgers equation and mass transport by the Burgers velocity field. Our contribution hence considerably extends the range of solvable optimization problems in small system thermodynamics.

Place, publisher, year, edition, pages
2011. Vol. 106, no 25, 250601- p.
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-37168DOI: 10.1103/PhysRevLett.106.250601ISI: 000291801900003Scopus ID: 2-s2.0-79960746962OAI: oai:DiVA.org:kth-37168DiVA: diva2:432313
Available from: 2011-08-02 Created: 2011-08-02 Last updated: 2017-12-08Bibliographically approved

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