Nonequilibrium phase transition in the kinetic Ising model: Divergences of fluctuations and responses near the transition point

TL;DR

This paper investigates the nonequilibrium phase transition in the kinetic Ising model under oscillating magnetic fields, revealing divergences in fluctuations and responses near the transition point through Monte Carlo simulations.

Contribution

It provides a detailed analysis of fluctuation and response divergences near the dynamic transition, highlighting their critical behavior and power-law divergence in a nonequilibrium setting.

Findings

Fluctuations of the dynamic order parameter diverge near the transition.

Energy fluctuations and specific heat also diverge at the transition.

Fluctuations and responses follow similar power-law behavior with identical exponents.

Abstract

The nonequilibrium dynamic phase transition, in the kinetic Ising model in presence of an oscillating magnetic field, has been studied by Monte Carlo simulation. The fluctuation of dynamic order parameter has been studied as a function of temperature near the dynamic transition point. The temperature variation of appropriately defined `susceptibility' has also been studied near the dynamic transition point. Similarly, fluctuation of energy and appropriately defined `specific-heat' have been studied as a function of temperature near the dynamic transition point. In both the cases, the fluctuations (of dynamic order parameter and energy) and the corresponding responses diverge (as power law fashion) near the dynamic transition point with similar critical behavior (with identical exponent values).