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FluctuationDissipation: Response Theory in Statistical Physics
 PHYSICS REPORTS 461 (2008) 111195
, 2008
"... ..."
Fluctuation relations for diffusion process
 Commun. Math. Phys
"... The paper presents a unified approach to different fluctuation relations for classical nonequilibrium dynamics described by diffusion processes. Such relations compare the statistics of fluctuations of the entropy production or work in the original process to the similar statistics in the timerever ..."
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Cited by 21 (6 self)
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The paper presents a unified approach to different fluctuation relations for classical nonequilibrium dynamics described by diffusion processes. Such relations compare the statistics of fluctuations of the entropy production or work in the original process to the similar statistics in the timereversed process. The origin of a variety of fluctuation relations is traced to the use of different time reversals. It is also shown how the application of the presented approach to the tangent process describing the joint evolution of infinitesimally close trajectories of the original process leads to a multiplicative extension of the fluctuation relations. 1
EPJ manuscript No.
, 809
"... (will be inserted by the editor) Kinesin and the Crooks fluctuation theorem ..."
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(will be inserted by the editor) Kinesin and the Crooks fluctuation theorem
EPJ manuscript No. (will be inserted by the editor)
, 809
"... Abstract. The thermal efficiency of the kinesin cycle at stalling is presently a matter of some debate, with ..."
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Abstract. The thermal efficiency of the kinesin cycle at stalling is presently a matter of some debate, with
FluctuationDissipation: Response Theory in Statistical Physics
, 803
"... General aspects of the FluctuationDissipation Relation (FDR), and Response Theory are considered. After analyzing the conceptual and historical relevance of fluctuations in statistical mechanics, we illustrate the relation between the relaxation of spontaneous fluctuations, and the response to an e ..."
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General aspects of the FluctuationDissipation Relation (FDR), and Response Theory are considered. After analyzing the conceptual and historical relevance of fluctuations in statistical mechanics, we illustrate the relation between the relaxation of spontaneous fluctuations, and the response to an external perturbation. These studies date back to Einstein’s work on Brownian Motion, were continued by Nyquist and Onsager and culminated in Kubo’s linear response theory. The FDR has been originally developed in the framework of statistical mechanics of Hamiltonian systems, nevertheless a generalized FDR holds under rather general hypotheses, regardless of the Hamiltonian, or equilibrium nature of the system. In the last decade, this subject was revived by the works on Fluctuation Relations (FR) concerning far from equilibrium systems. The connection of these works with large deviation theory is analyzed. Some examples, beyond the standard applications of statistical mechanics, where fluctuations play a major role are discussed: fluids, granular media, nanosystems
TOPICAL REVIEW
, 2006
"... Singlemolecule experiments in biological physics: methods and applications. ..."
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Singlemolecule experiments in biological physics: methods and applications.
Fluctuation Relations for Diffusions Thermally Driven by a NonStationary Bath
, 2009
"... In the context of the dynamical evolution in a nonstationary thermal bath, we construct a family of fluctuation relations for the entropy production that are not verified by the work performed on the system. We exhibit uctuation relations which are global versions either of the generalized Fluctuat ..."
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In the context of the dynamical evolution in a nonstationary thermal bath, we construct a family of fluctuation relations for the entropy production that are not verified by the work performed on the system. We exhibit uctuation relations which are global versions either of the generalized FluctuationDissipation Theorem around a nonequilibrium diffusion or of the usual FluctuationDissipation Theorem for energy resulting from a pulse of temperature.
LETTERS
, 2011
"... Experimental validation of freeenergylandscape reconstruction from nonequilibrium singlemolecule force spectroscopy measurements ..."
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Experimental validation of freeenergylandscape reconstruction from nonequilibrium singlemolecule force spectroscopy measurements