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Fluctuation-Dissipation: Response Theory in Statistical Physics

Author: U. Marconi, A. Puglisi , L. Rondoni, A. Vulpiani
Url: http://tnt.phys.uniroma1.it/twiki/pub/TNTgroup/SomeReviews/MPRV.pdf
Format: Pdf
Year: 2008
Category: Statistical Mechanics
Pages: 85
Clicks: 259

General aspects of the Fluctuation-Dissipation Relation ( FDR), and Response The- ory are considered. After analyzing the conceptual and hist orical relevance of fluc- tuations in statistical mechanics, we illustrate the relat ion between the relaxation of spontaneous fluctuations, and the response to an external pe rturbation. These stud- ies date back to Einstein’s work on Brownian Motion, were con tinued by Nyquist and Onsager and culminated in Kubo’s linear response theory . The FDR has been originally developed in the framework of sta tistical mechanics of Hamiltonian systems, nevertheless a generalized FDR hol ds 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 Fluc tuation Relations (FR) concerning far from equilibrium systems. The connecti on of these works with large deviation theory is analyzed. Some examples, beyond the standard applications of statist ical mechanics, where fluctuations play a major role are discussed: fluids, granula r media, nano-systems and biological systems.

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