In previous work [1], which we recently reviewed in [2,3,4], we discovered a critical point in the behavior of hysteretic systems. Adding disorder to the system, we found a second order transition from hysteresis loops with a macroscopic jump or burst (roughly as seen in the supercooling of liquids) to smoothly varying hysteresis loops (as seen in most magnets). We have studied the critical point in the nonequilibrium zero temperature random field Ising model (RFIM) (which is a simple model for magnets, that has aplications far beyond magnetic hysteresis and associated Barkhausen Noise), using mean field theory, renormalization group techniques, and numerical simulations in 2,3,4, and 5 dimensions. In a large region near the critical disorder the model exhibits power law distributions of noise (avalanches), universal behavior, and a diverging length scale [5,6,7].
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