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Fluctuation-Dissipation: Response Theory in Statistical Physics (803)
BibTeX
@MISC{Marini803fluctuation-dissipation:response,
author = {Umberto Marini and Bettolo Marconi and Andrea Puglisi B and Lamberto Rondoni C and Angelo Vulpiani D},
title = {Fluctuation-Dissipation: Response Theory in Statistical Physics},
year = {803}
}
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Abstract
General 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
Keyphrases
response theory statistical physic statistical mechanic granular medium last decade general hypothesis standard application external perturbation fluctuation relation hamiltonian system generalized fdr large deviation theory equilibrium system fluctuation-dissipation relation general aspect equilibrium nature brownian motion spontaneous fluctuation study date linear response theory major role historical relevance
