Optimal Protocols and Optimal Transport in Stochastic Thermodynamics

Aurell, Eric and Mejia-Monasterio, Carlos and Muratore-Ginanneschi, Paolo (2011). Optimal Protocols and Optimal Transport in Stochastic Thermodynamics. "Physical Review Letters", v. 106 ; p. 250601. https://doi.org/10.1103/PhysRevLett.106.250601.

Description

Title: Optimal Protocols and Optimal Transport 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
Volume: 106
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

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.

More information

Item ID: 9830
DC Identifier: http://oa.upm.es/9830/
OAI Identifier: oai:oa.upm.es:9830
DOI: 10.1103/PhysRevLett.106.250601
Official URL: http://prl.aps.org/abstract/PRL/v106/i25/e250601
Deposited by: Dr. Carlos Mejia-Monasterio
Deposited on: 13 Dec 2011 12:42
Last Modified: 17 Dec 2018 06:54
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