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Noise-induced narrowing of peaks in the power spectra of underdamped nonlinear oscillators.

Dykman, M. I. and Mannella, R. and McClintock, Peter V. E. and Soskin, S. M. and Stocks, N. G. (1990) Noise-induced narrowing of peaks in the power spectra of underdamped nonlinear oscillators. Physical Review A, 42 (12). pp. 7041-7049. ISSN 1050-2947

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    Abstract

    The spectral densities of the fluctuations of noise-driven underdamped nonlinear oscillators are discussed with particular reference to the large class of systems whose eigenfrequencies vary nonmonotonically with energy. It is shown by analog electronic experiments and theoretically that, astonishingly, the widths of their spectral peaks can sometimes decrease with increasing noise intensity T. The specific system studied, as an example, is the single-well Duffing oscillator in a constant homogeneous field. An explicit expression is derived in terms of T and a field parameter for the shape of the spectral peak. It is shown to be in good agreement with experiment. The possibility of observing such spectral features for localized and resonant vibrations of impurities in solids is 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: 32250
    Deposited By: Professor P. V. E. McClintock
    Deposited On: 18 Mar 2010 16:07
    Refereed?: Yes
    Published?: Published
    Last Modified: 14 Apr 2015 09:06
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/32250

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