Stochastic resonance in the driven Ising model on small-world networks

TL;DR

This paper explores how stochastic resonance occurs in the driven Ising model on small-world networks, revealing phase transitions and resonance peaks influenced by network rewiring.

Contribution

It demonstrates the presence of dynamic phase transitions and double resonance peaks in the Ising model on small-world networks, highlighting the effects of long-range interactions.

Findings

Dynamic phase transition at finite temperature for any rewiring probability.

Presence of double resonance peaks in the magnetization response.

Opposite effects of rewiring on resonance in ferromagnetic and paramagnetic phases.

Abstract

We investigate the stochastic resonance phenomena in the field-driven Ising model on small-world networks. The response of the magnetization to an oscillating magnetic field is examined by means of Monte Carlo dynamic simulations, with the rewiring probability varied. At any finite value of the rewiring probability, the system is found to undergo a dynamic phase transition at a finite temperature, giving rise to double resonance peaks. While the peak in the ferromagnetic phase grows with the rewiring probability, that in the paramagnetic phase tends to reduce, indicating opposite effects of the long-range interactions on the resonance in the two phases.