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Scaling Behavior of Dynamic Hysteresis in Multi-Domain Spin Systems

Abstract The dynamic hysteresis in two-dimensional multi-domain spin systems is simulated using Monte-Carlo method based on Q -state planar Potts model. The pattern and scaling property of the hysteresis as a function of the oscillating time-varying external field are studied and compared qualitatively with the experimental data on PZT ferroelectric films and theoretical predictions. While the scaling of the hysteresis area with frequency f and amplitude E 0 of the external field at a form of f 1/3 E 0 2/3 over the low- f range is well-established, the high- f range scaling relations as derived from the simulation, experiment and theoretical model differ from one and another.