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Internal spatiotemporal stochastic resonance in the presence of weak noise

  • O. Kortlüke
  • , V. N. Kuzovkov*
  • , W. von Niessen
  • *Corresponding author for this work
  • Technical University of Braunschweig

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

We show the existence of internal stochastic resonance in a microscopic stochastic model for the oscillating [formula presented] reaction on a square lattice. This stochastic resonance arises directly from the elementary reaction steps of the system without any external input. The lattice gas model is investigated by means of Monte Carlo simulations. It shows oscillation phenomena and mesoscopic pattern formation. Stochastic resonance arises when homogeneous nucleation of the individual lattice site states is considered. This nucleation is modeled as a weak noise process. As a result, synchronization of the kinetic oscillations is obtained. We show that all characteristics known from the research on stochastic resonance are obtained in our model. We also show that the model explains easily several phenomena observed in the experiment. Internal stochastic resonance may thus be an internal regulation mechanism of extreme adaptability.

Original languageEnglish
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume66
Issue number3
DOIs
Publication statusPublished - 30 Sept 2002

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