The effect of multiplicative noise on the relaxation time of a real non-linear physical system:A comparison of experiment and theory for the random growing rate model (RGRM)

Mannella, R. and Faetti, S. and Grigolini, P. and McClintock, P. V.E. and Moss, F. E. (1986) The effect of multiplicative noise on the relaxation time of a real non-linear physical system:A comparison of experiment and theory for the random growing rate model (RGRM). Journal of Physics A: General Physics, 19 (12). L699-L704. ISSN 0305-4470

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Abstract

It is found that the theoretical behaviour of the relaxation time T for the random growing rate model (RGRM) under the influence of multiplicative noise of intensity Q (a monotonic decrease of T-1 towards a limiting value as Q to infinity ) differs markedly from that actually measured in electronic simulators of that system. A new electronic analogue experiment is described in which a distinct minimum in T-1(Q) has been observed for the first time, with clear evidence for an increase of T-1(Q) with Q at large Q in good qualitative agreement with an earlier analogue experiment. The discrepancy between experiment and the theoretical solutions of the (idealised) equation is attributed to the profound influence exerted by the very weak additive noise which must also, in some measure, always be present in a real physical system.

Item Type: Journal Article
Journal or Publication Title: Journal of Physics A: General Physics
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/2600/2610
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 134581
Deposited By: ep_importer_pure
Deposited On: 22 Jun 2019 09:15
Refereed?: Yes
Published?: Published
Last Modified: 01 Jan 2020 12:02
URI: https://eprints.lancs.ac.uk/id/eprint/134581

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