Boundary layers in stochastic thermodynamics

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
Author/s:
  • Aurell, Eric
  • Mejia-Monasterio, Carlos
  • Muratore-Ginanneschi, Paolo
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

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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
DC Identifier: http://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
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