Changes in the effective parameters of averaged motion in nonlinear systems subject to noise
type: Item
instance of: scholarly article
title: Changes in the effective parameters of averaged motion in nonlinear systems subject to noise
zbMATH Open document ID: 1206.82074
published in: Journal of Statistical Physics
publication date: 2007-02-14T00:00:00Z
review text: The authors study the effect of noise on non-linear systems by calculating how effective parameters entering in the description of the averaged motion do depend on noise. Such an approach should shed some light on the origin of resonance phenomena appearing in non-linear systems coupled to noise. They first discuss how taking into account noise induced parameter changes can help solving paradoxes such as the apparent violation of the second law of thermodynamics in a rectifier circuit consisting of a capacitor and a diode. The explicit dependence on the noise intensity for the effective parameters entering the averaged motion is worked out in detail for the case of a Brownian ratchet and a generic stochastic resonance system.
reviewed by: Bassano Vacchini
Mathematics Subject Classification ID: 82C31
Mathematics Subject Classification ID: 60J65
zbMATH DE Number: 5126766
zbMATH Keywords: noise
zbMATH Keywords: nonlinear dynamics
zbMATH Keywords: fluctuational phenomena
zbMATH Keywords: Brownian motion
zbMATH Keywords: stochastic resonance
zbMATH Keywords: Brownian ratchet
author: P. S. Landa
author: Juri I. Neimark
author: Peter V. E. McClintock
MaRDI profile type: Publication
full work available at URL: s10955-006-9209-5
OpenAlex ID: W2076354246
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DOI: 10.1007/S10955-006-9209-5
description: scientific article; zbMATH DE number 5126766