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Changes in the effective parameters of averaged motion in nonlinear systems subject to noise.

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Changes in the effective parameters of averaged motion in nonlinear systems subject to noise. / Landa, P. S.; Neimark, Yu I.; McClintock, Peter V. E.
In: Journal of Statistical Physics, Vol. 125, No. 3, 11.2006, p. 593-620.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Landa, PS, Neimark, YI & McClintock, PVE 2006, 'Changes in the effective parameters of averaged motion in nonlinear systems subject to noise.', Journal of Statistical Physics, vol. 125, no. 3, pp. 593-620. https://doi.org/10.1007/s10955-006-9209-5

APA

Landa, P. S., Neimark, Y. I., & McClintock, P. V. E. (2006). Changes in the effective parameters of averaged motion in nonlinear systems subject to noise. Journal of Statistical Physics, 125(3), 593-620. https://doi.org/10.1007/s10955-006-9209-5

Vancouver

Landa PS, Neimark YI, McClintock PVE. Changes in the effective parameters of averaged motion in nonlinear systems subject to noise. Journal of Statistical Physics. 2006 Nov;125(3):593-620. doi: 10.1007/s10955-006-9209-5

Author

Landa, P. S. ; Neimark, Yu I. ; McClintock, Peter V. E. / Changes in the effective parameters of averaged motion in nonlinear systems subject to noise. In: Journal of Statistical Physics. 2006 ; Vol. 125, No. 3. pp. 593-620.

Bibtex

@article{1b62cd4927a245419f144ea45490c8d1,
title = "Changes in the effective parameters of averaged motion in nonlinear systems subject to noise.",
abstract = "We discuss how the effective parameters characterising averaged motion in nonlinear systems are affected by noise (random fluctuations). In this approach to stochastic dynamics, the stochastic system is replaced by its deterministic equivalent but with noise-dependent parameters. We show that it can help to resolve certain paradoxes and that it has a utility extending far beyond its usual application in passing from the microscopic equations of motion to the macroscopic ones. As illustrative examples, we consider the diode-capacitor circuit, a Brownian ratchet, and a generic stochastic resonance system. In the latter two cases we calculate for the first time their effective parameters of averaged motion as functions of noise intensity. We speculate that many other stochastic problems can be treated in a similar way.",
keywords = "noise - nonlinear dynamics - fluctuational phenomena - Brownian motion",
author = "Landa, {P. S.} and Neimark, {Yu I.} and McClintock, {Peter V. E.}",
note = "The final publication is available at Springer via http://dx.doi.org/10.1007/s10955-006-9209-5",
year = "2006",
month = nov,
doi = "10.1007/s10955-006-9209-5",
language = "English",
volume = "125",
pages = "593--620",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer New York",
number = "3",

}

RIS

TY - JOUR

T1 - Changes in the effective parameters of averaged motion in nonlinear systems subject to noise.

AU - Landa, P. S.

AU - Neimark, Yu I.

AU - McClintock, Peter V. E.

N1 - The final publication is available at Springer via http://dx.doi.org/10.1007/s10955-006-9209-5

PY - 2006/11

Y1 - 2006/11

N2 - We discuss how the effective parameters characterising averaged motion in nonlinear systems are affected by noise (random fluctuations). In this approach to stochastic dynamics, the stochastic system is replaced by its deterministic equivalent but with noise-dependent parameters. We show that it can help to resolve certain paradoxes and that it has a utility extending far beyond its usual application in passing from the microscopic equations of motion to the macroscopic ones. As illustrative examples, we consider the diode-capacitor circuit, a Brownian ratchet, and a generic stochastic resonance system. In the latter two cases we calculate for the first time their effective parameters of averaged motion as functions of noise intensity. We speculate that many other stochastic problems can be treated in a similar way.

AB - We discuss how the effective parameters characterising averaged motion in nonlinear systems are affected by noise (random fluctuations). In this approach to stochastic dynamics, the stochastic system is replaced by its deterministic equivalent but with noise-dependent parameters. We show that it can help to resolve certain paradoxes and that it has a utility extending far beyond its usual application in passing from the microscopic equations of motion to the macroscopic ones. As illustrative examples, we consider the diode-capacitor circuit, a Brownian ratchet, and a generic stochastic resonance system. In the latter two cases we calculate for the first time their effective parameters of averaged motion as functions of noise intensity. We speculate that many other stochastic problems can be treated in a similar way.

KW - noise - nonlinear dynamics - fluctuational phenomena - Brownian motion

U2 - 10.1007/s10955-006-9209-5

DO - 10.1007/s10955-006-9209-5

M3 - Journal article

VL - 125

SP - 593

EP - 620

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 3

ER -