Dynamic hysteresis for Potts spin system: a Monte Carlo simulation

A Monte Carlo approach based on the e-state Ports model is developed to describe and simulate the dynamic hysteresis of Potts spin lattice against periodic time-varying external field E. The dynamic responses of the hysteresis loops against frequency omega of applied field and domain size R are studied. It is revealed that the hysteresis loops for the system energy W, polarization P, and domain wall fraction Pi depend considerably on the frequency and domain size. The remnant polarization P, shows a single-peak pattern as a function of omega. The P - E loop exhibits thin rhomb and fat rhomb patterns at low w, whereas a tip-smoothed rhomb and roughly elliptical pattern is observed at high omega. The loop area can be scaled with Omega approximate to omega(1/3) at low omega. The frequency dependency of the dynamic hysteresis is explained in terms of a simplified phenomenological model. At very small domain size, the dynamic hysteresis is significantly compressed, predicting the polarization weakening effect at small domain size.