Self-Organized Criticality in the Hysteresis of the Sherrington-Kirkpatrick Model

Ferenc Pázmándi, Gergely Zaránd, and Gergely T. Zimányi
Phys. Rev. Lett. 83, 1034 – Published 2 August 1999
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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.

  • Received 10 February 1999

DOI:https://doi.org/10.1103/PhysRevLett.83.1034

©1999 American Physical Society

Authors & Affiliations

Ferenc Pázmándi1,2,3, Gergely Zaránd1,3, and Gergely T. Zimányi1

  • 1Physics Department, University of California, Davis, California 95616
  • 2Physics Department, KLTE, P.O. Box 5.Debrecen, H-4010 Debrecen, Hungary
  • 3Research Group of the Hungarian Academy of Sciences, Institute of Physics, TU Budapest, H-1521 Hungary

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Vol. 83, Iss. 5 — 2 August 1999

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