Response in kinetic Ising model to oscillating magnetic fields

Abstract

Ising models obeying Glauber dynamics in a temporally oscillating magnetic field are analyzed. In the context of stochastic resonance, the response in the magnetization is calculated by means of both a mean-field theory with linear-response approximation, and the time-dependent Ginzburg-Landau equation. Analytic results for the temperature and frequency dependent response, including the resonance temperature, compare favorably with simulation data.

RevTex, 6 pages, two-column, 2 figures

Cited by in corpus (18)

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• Noise-induced volatility of collective dynamics
• Nontrivial stochastic resonance temperature for the kinetic Ising model
• Slow magnetic dynamics and hysteresis loops of a bulk ferromagnet
• Effect of antiferromagnetic exchange interactions on the Glauber dynamics of one-dimensional Ising models
• Heuristic derivation of continuum kinetic equations from microscopic dynamics
• Spatial stochastic resonance in 1D Ising systems
• Double stochastic resonance in the mean-field $q$-state clock models
• Nonequilibrium steady state of the kinetic Glauber-Ising model under an alternating magnetic field
• Stochastic resonance in the two-dimensional q-state clock models
• Optimal linear Glauber model
• Phase transitions in a one-dimensional multibarrier potential of finite range
• Phase transition in the bounded one-dimensional multitrap system
• Anomalous response in the vicinity of spontaneous symmetry breaking
• Entropic sampling dynamics of the globally-coupled kinetic Ising model