Hysteresis scaling for Ising systems on fractal structures

Guangping Zheng, J. X. Zhang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)

Abstract

Dynamical phase transitions in Ising systems on Sierpinski Carpets and bond-percolation lattices at percolation threshold are studied by means of standard Monte Carlo simulations. We find that the area of hysteresis loop A can be scaled with respect to the sweep rate h of a linear driving field. However, the exponent in the scaling expression, A~hb, is universal only for Ising systems on Sierpinski carpets. We conclude that the hysteresis scaling is universal for the field-driven first-order phase transitions in Ising systems on fractal structures. Based on scaling hypothesis, we derive the expression of finite-size effect on the hysteresis. The exponent b is obtained by this method in some Sierpinski carpets.
Original languageEnglish
Pages (from-to)515-522
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Volume264
Issue number3-4
DOIs
Publication statusPublished - 1 Mar 1999
Externally publishedYes

Keywords

  • 64.60.Ak
  • 75.60.Ej
  • Hysteresis
  • Ising model
  • Sierpinski carpets

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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