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Effect of external fluctuations on the Fréedericksz transition in an analogue simulator.

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Effect of external fluctuations on the Fréedericksz transition in an analogue simulator. / Stocks, N. G.; Mannella, R.; McClintock, Peter V. E.
In: Journal of Statistical Physics, Vol. 54, No. 5/6, 03.1989, p. 1383-1396.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Stocks, NG, Mannella, R & McClintock, PVE 1989, 'Effect of external fluctuations on the Fréedericksz transition in an analogue simulator.', Journal of Statistical Physics, vol. 54, no. 5/6, pp. 1383-1396. https://doi.org/10.1007/BF01044722

APA

Vancouver

Stocks NG, Mannella R, McClintock PVE. Effect of external fluctuations on the Fréedericksz transition in an analogue simulator. Journal of Statistical Physics. 1989 Mar;54(5/6):1383-1396. doi: 10.1007/BF01044722

Author

Stocks, N. G. ; Mannella, R. ; McClintock, Peter V. E. / Effect of external fluctuations on the Fréedericksz transition in an analogue simulator. In: Journal of Statistical Physics. 1989 ; Vol. 54, No. 5/6. pp. 1383-1396.

Bibtex

@article{488d839985d64f39a140f9d4423196b8,
title = "Effect of external fluctuations on the Fr{\'e}edericksz transition in an analogue simulator.",
abstract = "The influence of multiplicative external fluctuations (noise) on the phenomenological equation describing the Freedericksz transition has been studied by means of an electronic analogue simulator. Measurements were made of the stationary probability density for a wide range of fluctuation intensities and correlation times, for both dichotomous and Gaussianly distributed noise. For dichotomous forcing, the resultant phase diagrams at particular values of the field intensity parameter were found to be in satisfactory agreement with exact theoretical predictions by Horsthemke et al. In the (physically more realistic) case of Gaussian fluctuations, for which no theory is currently available, the results obtained were distinctively different. A physically motivated discussion is given to account for the interesting differences and similarities of behavior found for the two types of external noise.",
keywords = "Fr{\'e}edericksz transition - analogue simulation - external noise - colored noise - dichotomous noise - noise-induced transitions",
author = "Stocks, {N. G.} and R. Mannella and McClintock, {Peter V. E.}",
year = "1989",
month = mar,
doi = "10.1007/BF01044722",
language = "English",
volume = "54",
pages = "1383--1396",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer New York",
number = "5/6",

}

RIS

TY - JOUR

T1 - Effect of external fluctuations on the Fréedericksz transition in an analogue simulator.

AU - Stocks, N. G.

AU - Mannella, R.

AU - McClintock, Peter V. E.

PY - 1989/3

Y1 - 1989/3

N2 - The influence of multiplicative external fluctuations (noise) on the phenomenological equation describing the Freedericksz transition has been studied by means of an electronic analogue simulator. Measurements were made of the stationary probability density for a wide range of fluctuation intensities and correlation times, for both dichotomous and Gaussianly distributed noise. For dichotomous forcing, the resultant phase diagrams at particular values of the field intensity parameter were found to be in satisfactory agreement with exact theoretical predictions by Horsthemke et al. In the (physically more realistic) case of Gaussian fluctuations, for which no theory is currently available, the results obtained were distinctively different. A physically motivated discussion is given to account for the interesting differences and similarities of behavior found for the two types of external noise.

AB - The influence of multiplicative external fluctuations (noise) on the phenomenological equation describing the Freedericksz transition has been studied by means of an electronic analogue simulator. Measurements were made of the stationary probability density for a wide range of fluctuation intensities and correlation times, for both dichotomous and Gaussianly distributed noise. For dichotomous forcing, the resultant phase diagrams at particular values of the field intensity parameter were found to be in satisfactory agreement with exact theoretical predictions by Horsthemke et al. In the (physically more realistic) case of Gaussian fluctuations, for which no theory is currently available, the results obtained were distinctively different. A physically motivated discussion is given to account for the interesting differences and similarities of behavior found for the two types of external noise.

KW - Fréedericksz transition - analogue simulation - external noise - colored noise - dichotomous noise - noise-induced transitions

U2 - 10.1007/BF01044722

DO - 10.1007/BF01044722

M3 - Journal article

VL - 54

SP - 1383

EP - 1396

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 5/6

ER -