R. Kubo. Reports on Progress in Physics, 29 (1):
255-284(1966)
Abstract
The linear response theory has given a general proof of the fluctuation-dissipation theorem which states that the linear response of a given system to an external perturbation is expressed in terms of fluctuation properties of the system in thermal equilibrium. This theorem may be represented by a stochastic equation describing the fluctuation, which is a generalization of the familiar Langevin equation in the classical theory of Brownian motion. In this generalized equation the friction force becomes retarded or frequency-dependent and the random force is no more white. They are related to each other by a generalized Nyquist theorem which is in fact another expression of the fluctuation-dissipation theorem. This point of view can be applied to a wide class of irreversible process including collective modes in many-particle systems as has already been shown by Mori. As an illustrative example, the density response problem is briefly discussed.
%0 Journal Article
%1 0034-4885-29-1-306
%A Kubo, R
%D 1966
%J Reports on Progress in Physics
%K dissipation fdt fluctuation kubo physics
%N 1
%P 255-284
%T The fluctuation-dissipation theorem
%U http://stacks.iop.org/0034-4885/29/255
%V 29
%X The linear response theory has given a general proof of the fluctuation-dissipation theorem which states that the linear response of a given system to an external perturbation is expressed in terms of fluctuation properties of the system in thermal equilibrium. This theorem may be represented by a stochastic equation describing the fluctuation, which is a generalization of the familiar Langevin equation in the classical theory of Brownian motion. In this generalized equation the friction force becomes retarded or frequency-dependent and the random force is no more white. They are related to each other by a generalized Nyquist theorem which is in fact another expression of the fluctuation-dissipation theorem. This point of view can be applied to a wide class of irreversible process including collective modes in many-particle systems as has already been shown by Mori. As an illustrative example, the density response problem is briefly discussed.
@article{0034-4885-29-1-306,
abstract = {The linear response theory has given a general proof of the fluctuation-dissipation theorem which states that the linear response of a given system to an external perturbation is expressed in terms of fluctuation properties of the system in thermal equilibrium. This theorem may be represented by a stochastic equation describing the fluctuation, which is a generalization of the familiar Langevin equation in the classical theory of Brownian motion. In this generalized equation the friction force becomes retarded or frequency-dependent and the random force is no more white. They are related to each other by a generalized Nyquist theorem which is in fact another expression of the fluctuation-dissipation theorem. This point of view can be applied to a wide class of irreversible process including collective modes in many-particle systems as has already been shown by Mori. As an illustrative example, the density response problem is briefly discussed.},
added-at = {2009-11-10T15:02:43.000+0100},
author = {Kubo, R},
biburl = {https://www.bibsonomy.org/bibtex/235041e5541ccd42cec39cc2fed29295a/andreab},
description = {The fluctuation-dissipation theorem},
interhash = {0f0a8a89f9bb0bdf8179e52b25ed4a45},
intrahash = {35041e5541ccd42cec39cc2fed29295a},
journal = {Reports on Progress in Physics},
keywords = {dissipation fdt fluctuation kubo physics},
number = 1,
pages = {255-284},
timestamp = {2009-11-10T15:02:43.000+0100},
title = {The fluctuation-dissipation theorem},
url = {http://stacks.iop.org/0034-4885/29/255},
volume = 29,
year = 1966
}