Self-organized criticality in the hysteresis of the Sherrington-Kirkpatrick model

Ferenc Pázmándi, G. Zaránd, Gergely T. Zimányi

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Abstract

We study hysteretic phenomena in random ferromagnets. We argue that the angle dependent magnetostatic (dipolar) terms introduce frustration and long-range interactions in these systems. This makes it plausible that the Sherrington-Kirkpatrick (SK) model may be able to capture some of the relevant physics of these systems. We use scaling arguments, replica calculations, and large scale numerical simulations to characterize the hysteresis of the zero temperature SK model. By constructing the distribution functions of the avalanche sizes, magnetization jumps, and local fields, we conclude that the system exhibits self-organized criticality everywhere on the hysteresis loop.

Original languageEnglish
Pages (from-to)1034-1037
Number of pages4
JournalPhysical Review Letters
Volume83
Issue number5
Publication statusPublished - Aug 2 1999

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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