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Spatial stochastic resonance in one-dimensional Ising systems.

Z Néda1, A Rusz, E Ravasz

  • 1Department of Theoretical Physics, Babeş-Bolyai University, str. Kogălniceanu 1, RO-3400 Cluj-Napoca, Romania.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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Researchers explored the one-dimensional Ising model with an oscillating magnetic field. They discovered a "spatial stochastic resonance" phenomenon in the equilibrium state, where magnetization correlates strongly with the field at specific temperatures.

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • The Ising model is a fundamental model in statistical mechanics.
  • Understanding system responses to external fields is crucial.

Purpose of the Study:

  • To analytically investigate the one-dimensional Ising model under a spatially periodic and oscillatory external magnetic field.
  • To identify and characterize resonance phenomena in equilibrium states.

Main Methods:

  • Utilized the transfer-matrix method for analytical study.
  • Analyzed the correlation between the external magnetic field and magnetization.

Main Results:

  • Identified a phenomenon termed "spatial stochastic resonance" at low magnetic field intensities.
  • Observed a maximum correlation between magnetic field and magnetization at specific temperatures.

Related Experiment Videos

  • Demonstrated that this resonance occurs in the equilibrium state, not as a dynamical response.

    • Conclusions:

    • Spatial stochastic resonance is a distinct equilibrium phenomenon in the Ising model.
    • The stochastic heat bath induces this resonance, influencing magnetization response.
    • This finding offers new insights into equilibrium statistical mechanics and resonance phenomena.