Boundary layers in stochastic thermodynamics

被引:28
作者
Aurell, Erik [1 ,2 ,3 ]
Mejia-Monasterio, Carlos [4 ]
Muratore-Ginanneschi, Paolo [5 ]
机构
[1] KTH, ACCESS Linnaeus Ctr, Stockholm, Sweden
[2] AlbaNova Univ Ctr, Dept Computat Biol, S-10691 Stockholm, Sweden
[3] Aalto Univ, Sch Sci, Helsinki, Finland
[4] Tech Univ Madrid, Dept Rural Engn, Lab Phys Properties, E-28040 Madrid, Spain
[5] Univ Helsinki, Dept Math & Stat, FIN-00014 Helsinki, Finland
来源
PHYSICAL REVIEW E | 2012年 / 85卷 / 02期
基金
芬兰科学院;
关键词
Partial differential equations - Thermodynamics - Stochastic systems;
D O I
10.1103/PhysRevE.85.020103
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
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).
引用
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页数:4
相关论文
共 12 条
[2]   Optimal Protocols and Optimal Transport in Stochastic Thermodynamics [J].
Aurell, Erik ;
Mejia-Monasterio, Carlos ;
Muratore-Ginanneschi, Paolo .
PHYSICAL REVIEW LETTERS, 2011, 106 (25)
[3]   The nonequilibrium thermodynamics of small systems [J].
Bustamante, C ;
Liphardt, J ;
Ritort, F .
PHYSICS TODAY, 2005, 58 (07) :43-48
[4]  
Durrett R., 1996, STOCHASTIC CALCULUS, P341
[5]   Optimum protocol for fast-switching free-energy calculations [J].
Geiger, Philipp ;
Dellago, Christoph .
PHYSICAL REVIEW E, 2010, 81 (02)
[6]   Optimal protocols for minimal work processes in underdamped stochastic thermodynamics [J].
Gomez-Marin, Alex ;
Schmiedl, Tim ;
Seifert, Udo .
JOURNAL OF CHEMICAL PHYSICS, 2008, 129 (02)
[7]  
NELSON E., 1967, Dynamical Theories of Brownian Motion, DOI DOI 10.1515/9780691219615
[8]  
Nelson E., 1985, QUANTUM FLUCTUATIONS
[9]   Nonequilibrium candidate Monte Carlo is an efficient tool for equilibrium simulation [J].
Nilmeier, Jerome P. ;
Crooks, Gavin E. ;
Minh, David D. L. ;
Chodera, John D. .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2011, 108 (45) :E1009-E1018
[10]   Optimal finite-time processes in stochastic thermodynamics [J].
Schmiedl, Tim ;
Seifert, Udo .
PHYSICAL REVIEW LETTERS, 2007, 98 (10)