Fluctuation-dissipation: Response theory in statistical physics
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In this paper, the relation between the relaxation of spontaneous fluctuations and the response to an external perturbation is discussed, and the connection of these works with large deviation theory is analyzed.About:
This article is published in Physics Reports.The article was published on 2008-06-01 and is currently open access. It has received 698 citations till now. The article focuses on the topics: Statistical mechanics & Statistical theory.read more
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Stochastic thermodynamics, fluctuation theorems and molecular machines
TL;DR: Efficiency and, in particular, efficiency at maximum power can be discussed systematically beyond the linear response regime for two classes of molecular machines, isothermal ones such as molecular motors, and heat engines such as thermoelectric devices, using a common framework based on a cycle decomposition of entropy production.
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The large deviation approach to statistical mechanics
TL;DR: The theory of large deviations as mentioned in this paper is concerned with the exponential decay of probabilities of large fluctuations in random systems, and it provides exponential-order estimates of probabilities that refine and generalize Einstein's theory of fluctuations.
Journal ArticleDOI
The large deviation approach to statistical mechanics
TL;DR: The theory of large deviations as discussed by the authors is concerned with the exponential decay of probabilities of large fluctuations in random systems, and it provides exponential-order estimates of probabilities that refine and generalize Einstein's theory of fluctuations.
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Colloquium: Quantum fluctuation relations: Foundations and applications
TL;DR: In this paper, a self-contained exposition of the theory and applications of quantum fluctuation relations is presented, with a focus on work fluctuation relation for transiently driven closed or open quantum systems.
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Variational Principles in Mechanics
TL;DR: In this article, the authors define the principle of virtual work, which is a departure from other minimizing principles in that it incorporated stationarity and local stationarity in its formulation, and it is used to characterize static equilibrium through requiring that the work done by the external forces during a small displacement from equilibrium should vanish.
References
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A Reflection on Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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TL;DR: In this paper, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
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The Genetical Theory of Natural Selection
TL;DR: Although it is true that most text-books of genetics open with a chapter on biometry, closer inspection will reveal that this has little connexion with the body of the work, and that more often than not it is merely belated homage to a once fashionable study.