Brownian motion in a complex asymmetric periodic potential under colored-noise action
type: Item
instance of: scholarly article
title: Brownian motion in a complex asymmetric periodic potential under colored-noise action
zbMATH Open document ID: 1249.60178
DOI: 10.1134/S1028335811120068
author: S. A. Guz
publication date: 2012-07-26T00:00:00Z
Mathematics Subject Classification ID: 60J65
Mathematics Subject Classification ID: 58J65
Mathematics Subject Classification ID: 60H99
zbMATH DE Number: 6059943
zbMATH Keywords: Brownian motion
zbMATH Keywords: complex asymmetric periodic potential
zbMATH Keywords: colored noise
zbMATH Keywords: Ornstein-Uhlenbeck process
MaRDI profile type: Publication
full work available at URL: s1028335811120068
OpenAlex ID: W2021295796
published in: Doklady Akademii Nauk
review text: Brownian motion in a complex asymmetric periodic potential under colored-noise action is studied. Two colored noises are investigated, namely the ``red'' noise ( the Ornstein-Uhlenbeck process) and the wideband colored noise (``green'' noise) , which is equal to the time derivative of the ``red'' noise. the impact of the ``green'' noise is essential for small size structures (when the size of structure under consideration is of the order of the wavelength of the low frequency oscillators of the phonon field).
description: scientific article; zbMATH DE number 6059943