Fluctuation-Dissipation: Response Theory in Statistical Physics

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dc.creatorMarconi, Umberto Marini Bettolo
dc.creatorPuglisi, Andrea
dc.creatorRondoni, Lamberto
dc.creatorVulpiani, Angelo
dc.date2008-03-05
dc.date.accessioned2026-07-07T09:59:20Z
dc.date.available2026-07-07T09:59:20Z
dc.descriptionGeneral aspects of the Fluctuation-Dissipation 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, nano-systems and biological systems.
dc.descriptionReview paper, 162 pages, in press on Physics Reports
dc.identifierhttps://arxiv.org/abs/0803.0719
dc.identifierhttp://arxiv.org/abs/0803.0719
dc.identifierPhysics Reports vol. 461, p. 111 (2008)
dc.identifierdoi:10.1016/j.physrep.2008.02.002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167983
dc.subjectStatistical Mechanics
dc.subjectChaotic Dynamics
dc.titleFluctuation-Dissipation: Response Theory in Statistical Physics
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