Spatial Structure Of Avalanches And Clusters In The Non-Equilibrium Random-Field Ising Model

Yang Liu, Physics, UIUC

We present numerical studies of the spatial structure of avalanches associated with hysteresis loops, using the zero-temperature Gaussian random field Ising model. The avalanches that occur in the lower branch of the hysteresis loop are studied. Two different kinds of quantities, fractal dimensions and anisotropy measures, are calculated. For comparison, we also compute those quantities for clusters near the critical field. Results are also compared with those of the equilibrium studies.