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Zero-frequency spectral peaks of underdamped nonlinear oscillators with asymmetric potentials.

Dykman, M. I. and Mannella, R. and McClintock, Peter V. E. and Soskin, S. M. and Stocks, N. G. (1991) Zero-frequency spectral peaks of underdamped nonlinear oscillators with asymmetric potentials. Physical Review A, 43 (4). pp. 1701-1708. ISSN 1050-2947

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Abstract

The spectral density of the fluctuations of an underdamped, single-well, nonlinear oscillator driven by a random force has been investigated. Electronic analogue experiments have demonstrated the existence of a narrow spectral peak at zero-frequency; such a peak only appears, however, in those cases where the potential is non-centro-symmetric. The evolution of the peak with variation of a parameter characterising the asymmetry of the potential, and with noise intensity, has been investigated both experimentally and theoretically. It is found that the half-width of the peak remains relatively small (of the order of the reciprocal relaxation time) over a broad range of noise intensities. The theory of the peak shape is shown to be in close agreement with experiment. The relationships of the peak to the (apparently similar) zero-frequency peaks observed previously in double-well oscillators, where they are responsible for stochastic resonance, and to the supernarrow spectral peaks found near kinetic phase transitions in periodically driven systems, are discussed.

Item Type: Article
Journal or Publication Title: Physical Review A
Subjects: Q Science > QC Physics
Departments: Faculty of Science and Technology > Engineering
Faculty of Science and Technology > Physics
Faculty of Science and Technology > Lancaster Environment Centre
ID Code: 32214
Deposited By: Professor P. V. E. McClintock
Deposited On: 18 Mar 2010 14:40
Refereed?: Yes
Published?: Published
Last Modified: 26 Jul 2012 17:07
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/32214

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