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Boundary layers in stochastic thermodynamics
KTH, School of Computer Science and Communication (CSC), Computational Biology, CB.
2012 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 85, no 2, 020103- p.Article in journal (Refereed) Published
Abstract [en]

We study the problem of optimizing released heat or dissipated work in stochastic thermodynamics. In the overdamped limit these functionals have singular solutions, previously interpreted as protocol jumps. We show that a regularization, penalizing a properly defined acceleration, changes the jumps into boundary layers of finite width. We show that in the limit of vanishing boundary layer width no heat is dissipated in the boundary layer, while work can be done. We further give an alternative interpretation of the fact that the optimal protocols in the overdamped limit are given by optimal deterministic transport (Burgers equation).

Place, publisher, year, edition, pages
American Physical Society , 2012. Vol. 85, no 2, 020103- p.
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Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-90899DOI: 10.1103/PhysRevE.85.020103ISI: 000299994800001Scopus ID: 2-s2.0-84857606094OAI: oai:DiVA.org:kth-90899DiVA: diva2:507961
Note
Qc 20120307Available from: 2012-03-07 Created: 2012-03-05 Last updated: 2017-12-07Bibliographically approved

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