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Chaos / Volume 21 / Issue 4 / FOCUS ISSUE: NONLINEAR AND STOCHASTIC PHYSICS IN BIOLOGY

Chaos 21, 047516 (2011); http://dx.doi.org/10.1063/1.3658869 (8 pages)

Energetics of stochastic resonance

Peter Jung and Fabio Marchesoni

Department of Physics and Astronomy and Quantitative Biology Institute, Ohio University, Athens, Ohio 45701, USA

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(Received 15 August 2011; accepted 19 October 2011; published online 29 December 2011)

In this paper, we discuss the motion of a Brownian particle in a double-well potential driven by a periodic force in terms of energies delivered by the periodic and the noise forces and energy dissipated into the viscous environment. It is shown that, while the power delivered by the periodic force to the Brownian particle is controlled by the strength of the noise, the power delivered by the noise itself is independent of the amplitude and frequency of the periodic force. The implications of this result for the mechanism of stochastic resonance in an equilibrium system is that it is not energy from the noise force which enhances a small periodic force, but rather an increase of energy delivered by the periodic force, regulated by the strength of the noise. We further re-evaluate the frequency dependence of stochastic resonance in terms of energetic terms including efficiency.

© 2011 American Institute of Physics

Article Outline

  1. INTRODUCTION: ENERGETICS OF STOCHASTIC RESONANCE
  2. NUMERICAL METHODS
  3. RESULTS
    1. Power delivered by the external force
    2. Dissipated power and efficiency
  4. DISCUSSION

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KEYWORDS and PACS

Keywords

Brownian motion, stochastic processes

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3658869

PUBLICATION DATA

ISSN

1054-1500 (print)  
1089-7682 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
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    B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989).

    P. Jung and P. Hänggi, Phys. Rev. A 44, 8032 (1991).

    P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990).

    D. Suzuki and T. Munakata, Phys. Rev. E 68, 021906 (2003).

    L. Machura, M. Kostur, P. Talkner, J. Luczka, F. Marchesoni, and P. Hänggi, Phys. Rev. E 70, 061105 (2004).

    L. Gammaitoni, F. Marchesoni, and S. Santucci, Phys. Rev. Lett. 74, 1052 (1995).


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