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Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations

James P. Sethna·Karin Dahmen·Sivan Kartha·James A. Krumhansl·Bruce W. Roberts·Joel D. Shore
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Abstract

We use the zero-temperature random-field Ising model to study hysteretic behavior at first-order phase transitions. Sweeping the external field through zero, the model exhibits hysteresis, the return-point memory effect, and avalanche fluctuations. There is a critical value of disorder at which a jump in the magnetization (corresponding to an infinite avalanche) first occurs. We study the universal behavior at this critical point using mean-field theory, and also present preliminary results of numerical simulations in three dimensions.

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James P. Sethna, Karin Dahmen, Sivan Kartha, James A. Krumhansl, Bruce W. Roberts, Joel D. Shore. 1992-10-20. Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations. https://doi.org/10.1103/physrevlett.70.3347

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