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Stochastic resonance in the two-dimensional q-state clock models.

Hye Jin Park1, Seung Ki Baek2, Beom Jun Kim1

  • 1Department of Physics, Sungkyunkwan University, Suwon 440-746, Korea.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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Stochastic resonance in magnetic models shows double peaks. The response directionality, crucial for emergent phases, depends on magnetic field modulation in complex clock models.

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Area of Science:

  • Statistical physics
  • Condensed matter physics

Background:

  • Stochastic resonance (SR) is a phenomenon where a weak signal is amplified by noise.
  • The q-state clock model describes magnetic systems with discrete symmetries.

Purpose of the Study:

  • To numerically investigate stochastic resonance in 2D q-state clock models.
  • To analyze the influence of magnetic field modulation direction on SR.
  • To understand the role of emergent phases in magnetic systems.

Main Methods:

  • Numerical simulations of the 2D q-state clock models (q=2 to 7).
  • Application of a weak, oscillating magnetic field.
  • Analysis of system response concerning field modulation direction.

Main Results:

  • Observed double resonance peaks, consistent with mean-field predictions.
  • Detailed response asymmetry identified for q≥5, linked to the quasiliquid phase.
  • Correlation between free-energy landscapes and observed resonance behavior.

Conclusions:

  • The direction of magnetic field modulation significantly impacts stochastic resonance in 2D q-state clock models.
  • Emergent phases, like the quasiliquid phase, introduce complex dependencies in magnetic system responses.
  • Free-energy landscapes provide a framework for understanding these directional effects in magnetic field-driven phenomena.