Random-Field Ising Models of Hysteresis

This chapter presents the results of the simulations and analysis. The arguments for the applicability of the model of hysteresis are based on renormalization group and scaling theories, first developed to study continuous-phase transitions in equilibrium systems. To a large extent, these theories can be seen as the underlying reason for many theories of nature being applied to the real world, and (more specifically) different magnets sharing common features in their dynamics despite having microscopically different morphologies and energetics. A successful theory should predict statistical averages of almost any quantity that is dominated by events on large length and time scales, up to certain overall parameter-dependent scales (analogous to viscosity and density for fluids).