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

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

1992-10-20

arxiv.org/abs/cond-mat/9210018v1

Phys.Rev.Lett.70:3347,1993

Physics

Condensed Matter

12 pages plus 2 appended figures, plain TeX, CU-MSC-7479

Scientific paper

10.1103/PhysRevLett.70.3347

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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