Fluctuation-Dissipation: Response Theory in Statistical Physics

@misc{citeulike:2480165, 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 and biological systems.}, author = {Umberto and Puglisi, Andrea and Rondoni, Lamberto and Vulpiani, Angelo }, citeulike-article-id = {2480165}, eprint = {0803.0719}, keywords = {fluctuation-dissipation, review, statistical\_physics}, month = {Mar}, posted-at = {2008-03-07 16:10:04}, priority = {2}, title = {Fluctuation-Dissipation: Response Theory in Statistical Physics}, url = {http://arxiv.org/abs/0803.0719}, year = {2008} }

TY - ELEC ID - citeulike:2480165 L3 - citeulike-article-id:2480165 TI - Fluctuation-Dissipation: Response Theory in Statistical Physics N2 - 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 and biological systems. KW - fluctuation-dissipation KW - review KW - statistical_physics AU - Umberto AU - Puglisi, Andrea AU - Rondoni, Lamberto AU - Vulpiani, Angelo PY - 2008/Mar/05/ UR - http://arxiv.org/abs/0803.0719 ER -