Double stochastic resonance peaks in systems with dynamic phase transitions

Abstract

To probe the connection between the dynamic phase transition and stochastic resonance, we study the mean-field kinetic Ising model and the two-dimensional Josephson-junction array in the presence of appropriate oscillating magnetic fields. Observed in both systems are {\it double} stochastic resonance peaks, one below and the other above the dynamic transition temperature, the appearance of which is argued to be a generic property of the system with a continuous dynamic phase transition. In particular, the frequency matching condition around the dynamic phase transition between the external drive frequency and the internal characteristic frequency of the system is identified as the origin of such double peaks.

7 pages, accepted in Europhys. Lett

References in corpus (10)

• Dynamic transitions and hysteresis
• Kinetic Ising model in an oscillating field: Finite-size scaling at the dynamic phase transition
• Kinetic Ising model in an oscillating field: Avrami theory for the hysteretic response and finite-size scaling for the dynamic phase transition
• Temperature dependence and mechanisms for vortex pinning by periodic arrays of Ni dots in Nb films
• Stochastic Resonance in Ising Systems
• Response in kinetic Ising model to oscillating magnetic fields
• Phase synchronization and noise-induced resonance in systems of coupled oscillators
• Stochastic Resonance in 3D Ising Ferromagnets
• Nontrivial stochastic resonance temperature for the kinetic Ising model
• Spatiotemporal Stochastic Resonance in Fully Frustrated Josephson Ladders

Cited by in corpus (15)

• Dynamic phase transitions in thin ferromagnetic films
• Exchange anisotropy and the dynamic phase transition in thin ferromagnetic Heisenberg films
• Can intrinsic noise induce various resonant peaks?
• Stochastic resonance in the driven Ising model on small-world networks
• Optimal Size of a Complex Network
• Phase-shift inversion in oscillator systems with periodically switching couplings
• Dynamic transition and resonance in current-driven arrays of Josephson junctions
• Double stochastic resonance in the mean-field $q$-state clock models
• Dynamic transitions and resonances in Josephson-junction arrays under oscillating magnetic fields
• Nonequilibrium steady state of the kinetic Glauber-Ising model under an alternating magnetic field
• Stochastic resonance in the two-dimensional q-state clock models
• Anomalous response in the vicinity of spontaneous symmetry breaking
• Double resonance in the infinite-range quantum Ising model
• Entropic sampling dynamics of the globally-coupled kinetic Ising model
• Anonymous leadership and stochastic resonance in collectives of self-propelled robots