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Double stochastic resonance in the mean-field q-state clock model
1School of Physics, Korea Institute for Advanced Study, Seoul 130-722, Korea.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
Summary
Magnetic systems can show double-resonance peaks due to matching time scales. This study confirms double peaks in the q-state clock model for q≥4, with conditions for q=3 related to its phase transition.
Area of Science:
- Condensed matter physics
- Statistical mechanics
- Magnetism
Background:
- Magnetic systems exhibit phase transitions at critical temperatures.
- Periodic external magnetic fields can induce resonance phenomena.
- Double-resonance peaks occur when system timescales match external frequencies above and below the critical temperature.
Purpose of the Study:
- Investigate double-resonance phenomena in the mean-field q-state clock model.
- Determine the conditions for observing double peaks across different values of q.
- Analyze the influence of phase transition type on double-resonance behavior.
Main Methods:
- Utilized a heat-bath-type master equation to model the magnetic system.
- Analyzed the mean-field q-state clock model.
- Studied the system's response to a periodic external magnetic field.
Main Results:
- Confirmed double-resonance peaks for all q ≥ 4 in the q-state clock model.
- Observed that the three-state clock model (q = 3) requires a minimum external frequency for double peaks due to its discontinuous phase transition.
- The findings are consistent with observations in the kinetic Ising case (q = 2).
Conclusions:
- The q-state clock model generally exhibits double-resonance peaks.
- The nature of the phase transition (continuous vs. discontinuous) significantly impacts the conditions for observing double peaks.
- External frequency plays a crucial role, especially for models with discontinuous phase transitions.
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