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25 January 2025

» arxiv » cond-mat/9210018

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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 ;
Date:	20 Oct 1992
Journal:	Phys.Rev.Lett. 70 (1993) 3347
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.
Source:	arXiv, cond-mat/9210018
Other source:	[GID 714711] pmid10053845
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