Abstract
Abstract
In ergodic physical systems, time-averaged quantities converge (for large times) to their ensemble-averaged values. Large deviation theory describes rare events where these time averages differ significantly from the corresponding ensemble averages. It allows estimation of the probabilities of these events, and their mechanisms. This theory has been applied to a range of physical systems, where it has yielded new insights into entropy production, current fluctuations, metastability, transport processes, and glassy behaviour. We review some of these developments, identifying general principles. We discuss a selection of dynamical phase transitions, and we highlight some connections between large-deviation theory and optimal control theory.
Graphical abstract
Publisher
Springer Science and Business Media LLC
Subject
Condensed Matter Physics,Electronic, Optical and Magnetic Materials
Reference145 articles.
1. S.R. de Groot,
P. Mazur,Non-equilibrium thermodynamics
(Dover Publications,
New York,
1984)
2. L. Bertini,
A. De Sole,
D. Gabrielli,
G. Jona-Lasinio,
C. Landim,
Rev. Mod. Phys. 87, 593
(2015)
3. U. Seifert,
Rep. Prog. Phys. 75, 126001
(2012)
4. A. Cavagna,
Phys. Rep. 476, 51
(2009)
5. S. Auer,
D. Frenkel,
Nature 409, 1020
(2001)
Cited by
80 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献