Boundary layers in stochastic thermodynamics
2012 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, Vol. 85, no 2, 020103- p.Article in journal (Refereed) Published
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.
IdentifiersURN: urn:nbn:se:kth:diva-90899DOI: 10.1103/PhysRevE.85.020103ISI: 000299994800001ScopusID: 2-s2.0-84857606094OAI: oai:DiVA.org:kth-90899DiVA: diva2:507961
Qc 201203072012-03-072012-03-052012-03-07Bibliographically approved