Anomalous response in the vicinity of spontaneous symmetry breaking
arXiv:1505.00070 · doi:10.1140/epjb/e2015-60197-y
Abstract
We propose a mechanism to induce negative AC permittivity in the vicinity of a ferroelectric phase transition involved with spontaneous symmetry breaking. This mechanism makes use of responses at low frequency, yielding a high gain and a large phase delay, when the system jumps over the free-energy barrier with the aid of external fields. We illustrate the mechanism by analytically studying spin models with the Glauber-typed dynamics under periodic perturbations. Then, we show that the scenario is supported by numerical simulations of mean-field as well as two-dimensional spin systems.
arXiv comment6 pages, 5 figures
References in corpus (14)
- Dynamic transitions and hysteresis
- Two-state theory of nonlinear Stochastic Resonance
- Vortex dynamics for two-dimensional XY models
- Gain in Stochastic Resonance: Precise Numerics versus Linear Response Theory beyond the Two-Mode Approximation
- Numerical study of the phase transitions in the two-dimensional Z(5) vector model
- Double stochastic resonance peaks in systems with dynamic phase transitions
- Subthreshold Stochastic Resonance: Rectangular signals can cause anomalous large gains
- Response in kinetic Ising model to oscillating magnetic fields
- Residual discrete symmetry of the five-state clock model
- Rocking bistable systems: use and abuse of Linear Response Theory
- Double stochastic resonance in the mean-field -state clock models
- Stochastic resonance in the two-dimensional q-state clock models
- Nonequilibrium steady state of the kinetic Glauber-Ising model under an alternating magnetic field
- Double resonance in the infinite-range quantum Ising model