Hysteresis in frustrated systems

F. Pázmándi, G. Zaránd, K. Pál, C. Olson, G. Zimányi

Research output: Contribution to journalArticle

Abstract

We studied hysteretic phenomena in random magnets. We argue that the angle dependent magnetostatic terms introduce frustration and long range interaction in these systems. We model these forces by the so called Sherrington-Kirkpatrick spin glass, which has infinite range random interactions. By using scaling arguments and numerical simulations, we show that the system has avalanches of all sizes (limited only by the number of local moments) everywhere on the hysteresis loop. In other words, it exhibits self-organized criticality in the avalanche-size distribution. Furthermore, we show that hysteresis can be used to find good solutions for optimization problems. We find that the new method, the Hysteretic Optimization (HO), successfully competes with the widely used Simulated Annealing (SA).

Original languageEnglish
Pages (from-to)27-32
Number of pages6
JournalJournal of Materials Processing and Manufacturing Science
Volume9
Issue number1
Publication statusPublished - Jul 2001

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Hysteresis
Spin glass
Magnetostatics
Hysteresis loops
Simulated annealing
Magnets
Computer simulation

ASJC Scopus subject areas

  • Materials Science(all)

Cite this

Hysteresis in frustrated systems. / Pázmándi, F.; Zaránd, G.; Pál, K.; Olson, C.; Zimányi, G.

In: Journal of Materials Processing and Manufacturing Science, Vol. 9, No. 1, 07.2001, p. 27-32.

Research output: Contribution to journalArticle

Pázmándi, F, Zaránd, G, Pál, K, Olson, C & Zimányi, G 2001, 'Hysteresis in frustrated systems', Journal of Materials Processing and Manufacturing Science, vol. 9, no. 1, pp. 27-32.
Pázmándi, F. ; Zaránd, G. ; Pál, K. ; Olson, C. ; Zimányi, G. / Hysteresis in frustrated systems. In: Journal of Materials Processing and Manufacturing Science. 2001 ; Vol. 9, No. 1. pp. 27-32.
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