On the theory of Brownian motion with the Alder-Wainwright effect
type: Item
instance of: scholarly article
title: On the theory of Brownian motion with the Alder-Wainwright effect
zbMATH Open document ID: 0629.60070
DOI: 10.1007/BF01020584
author: Yasunori Okabe
published in: Journal of Statistical Physics
publication date: 1986-01-01T00:00:00Z
review text: The Stokes Boussinesq-Langevin equation, which describes the time evolution of Brownian motion with the Alder-Wainwright effect, can be treated in the framework of the theory of KMO-Langevin equations which describe the time evolution of a real, stationary Gaussian process with T-positivity (reflection positivity) originating in axiomatic quantum field theory. After proving the fluctuation-dissipation theorems for KMO-Langevin equations, we obtain an explicit formula for the deviation from the classical Einstein relation that occurs in the Stokes-Boussinesq-Langevin equation with a white noise as its random force. We are interested in whether or not it can be measured experimentally.
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 81P20
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 4024443
zbMATH Keywords: Stokes Boussinesq-Langevin equation
zbMATH Keywords: Alder-Wainwright effect
zbMATH Keywords: KMO- Langevin equations
zbMATH Keywords: fluctuation-dissipation theorems
MaRDI profile type: Publication
cites work: The Brownian movement and stochastic equations
cites work: Fluctuating hydrodynamics and Brownian motion
cites work: A generalized fluctuation-dissipation theorem for the one-dimensional diffusion process
description: scientific article; zbMATH DE number 4024443