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

Ferenc Pázmándi, Gergely Zaránd, Gergely T. Zimányi

Research output: Contribution to journalConference article

4 Citations (Scopus)


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 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)207-211
Number of pages5
JournalPhysica B: Condensed Matter
Issue number1-3
Publication statusPublished - Jan 2000
EventProceedings of the 1999 2nd International Symposium on Hysteresis Modeling and Micromagnets (HMM'99) - Perugia, Italy
Duration: Jun 7 1999Jun 9 1999

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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