R Kubo 1966 Rep. Prog. Phys. 29 255 doi:10.1088/0034-4885/29/1/306
R Kubo
Show affiliationsThe 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.
05.10.Gg Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
Issue 1 (Part I, 1966)
R Kubo 1966 Rep. Prog. Phys. 29 255
Patricia B Scott and J R Greening 1963 Phys. Med. Biol. 8 51
Mirza Pasovic et al 2011 Phys. Med. Biol. 56 3163
Valeria Garbin et al 2011 Phys. Med. Biol. 56 6161
Beau A Standish et al 2010 Phys. Med. Biol. 55 615
Derek Magee et al 2010 Phys. Med. Biol. 55 4755
Ian Cowley and Simon Thomas 2006 Phys. Med. Biol. 51 N17
K H W J Ten Tusscher and A V Panfilov 2006 Phys. Med. Biol. 51 6141
I El Naqa et al 2005 Phys. Med. Biol. 50 909
Gil Schwarzband and Nahum Kiryati 2005 Phys. Med. Biol. 50 5307