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

Stocks, N. G. and Mannella, R. and McClintock, Peter V. E. (1989) Effect of external fluctuations on the Fréedericksz transition in an analogue simulator. Journal of Statistical Physics, 54 (5/6). pp. 1383-1396. ISSN 0022-4715

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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.

Item Type: Article
Journal or Publication Title: Journal of Statistical Physics
Uncontrolled Keywords: Fréedericksz transition - analogue simulation - external noise - colored noise - dichotomous noise - noise-induced transitions
Subjects: Q Science > QC Physics
Departments: Faculty of Science and Technology > Physics
ID Code: 32276
Deposited By: Professor P. V. E. McClintock
Deposited On: 19 Mar 2010 09:23
Refereed?: Yes
Published?: Published
Last Modified: 26 Jul 2012 17:08
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/32276

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