Nonequilibrium phase transition in the kinetic Ising model: Is transition point the maximum lossy point ?

TL;DR

This paper investigates the nonequilibrium phase transition in the kinetic Ising model under oscillating magnetic fields, analyzing hysteretic loss and correlation to identify the transition point and its relation to maximum energy loss.

Contribution

It introduces an analytical framework linking hysteresis, dynamic order, and correlation, and identifies the transition point as the minimum-correlation point.

Findings

Hysteretic loss peaks above the transition point.

Transition point corresponds to minimum dynamic correlation.

Developed analytical relations for hysteresis and correlation.

Abstract

The nonequilibrium dynamic phase transition, in the kinetic Ising model in presence of an oscillating magnetic field, has been studied both by Monte Carlo simulation (in two dimension) and by solving the meanfield dynamical equation of motion for the average magnetization. The temperature variations of hysteretic loss (loop area) and the dynamic correlation have been studied near the transition point. The transition point has been identified as the minimum-correlation point. The hysteretic loss becomes maximum above the transition point. An analytical formulation has been developed to analyse the simulation results. A general relationship among hysteresis loop area, dynamic order parameter and dynamic correlation has also been developed.