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Zero-dispersion stochastic resonance in a model for a superconducting quantum interference device.

Kaufman, I. Kh. and Luchinsky, D. G. and McClintock, Peter V. E. and Soskin, S. M. and Stein, N. D. (1998) Zero-dispersion stochastic resonance in a model for a superconducting quantum interference device. Physical Review E, 57 (1). pp. 78-87. ISSN 1539-3755

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Abstract

It is demonstrated that the signal-to-noise ratio for a weak periodic signal in a superconductive loop with a Josephson junction (a superconducting quantum interference device, or SQUID) can be substantially enhanced, over a wide range of frequencies, by the addition of noise. This manifestation of zero-dispersion stochastic resonance (ZDSR) is shown to occur for a wide variety of loop parameters and signal frequencies. Unlike most earlier examples of stochastic resonance, ZDSR does not depend on fluctuational transitions between coexisting stable states. Rather, it exploits the noise-enhanced susceptibility that arises in underdamped nonlinear oscillators for which the oscillation eigenfrequency possesses one or more extrema as a function of energy. The phenomenon is investigated theoretically, and by means of analog and digital simulations. It is suggested that ZDSR could be used to enhance the sensitivity of radio-frequency SQUIDs and other SQUID-based devices. In the course of the work, two additional useful results were obtained: (a) an asymptotic expression describing ZDSR for the general case in the limit of weak dissipation; (b) a method for the numerical calculation of fluctuation spectra in bistable or multistable underdamped systems.

Item Type: Article
Journal or Publication Title: Physical Review E
Subjects: Q Science > QC Physics
Departments: Faculty of Science and Technology > Physics
Faculty of Science and Technology > Lancaster Environment Centre
ID Code: 32022
Deposited By: Professor P. V. E. McClintock
Deposited On: 08 Mar 2010 16:10
Refereed?: Yes
Published?: Published
Last Modified: 26 Jul 2012 17:05
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/32022

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