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Boundary layers in stochastic thermodynamics
Citation
Aurell, Eric and Mejia-Monasterio, Carlos and Muratore-Ginanneschi, Paolo (2011). Boundary layers in stochastic thermodynamics. "Physical Review Letters" ;
Description
| Title: | Boundary layers in stochastic thermodynamics |
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| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Physical Review Letters |
| Date: | 2011 |
| Subjects: | |
| Faculty: | E.T.S.I. Agrónomos (UPM) [antigua denominación] |
| Department: | Ingeniería Rural [hasta 2014] |
| UPM's Research Group: | LPF-TAGRALIA |
| Creative Commons Licenses: | Recognition - Non commercial |
Abstract
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 a new interpretation of the fact that the optimal protocols in the overdamped limit are given by optimal deterministic transport (Burgers equation).
More information
| Item ID: | 9833 |
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| DC Identifier: | https://oa.upm.es/9833/ |
| OAI Identifier: | oai:oa.upm.es:9833 |
| Official URL: | http://arxiv.org/abs/1111.2876 |
| Deposited by: | Dr. Carlos Mejia-Monasterio |
| Deposited on: | 13 Dec 2011 12:29 |
| Last Modified: | 17 Dec 2018 06:56 |
