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Hysteresis scaling for Ising systems on fractal structures

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  • Zheng, G.P
  • Zhang, J.X

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.

Suggested Citation

  • Zheng, G.P & Zhang, J.X, 1999. "Hysteresis scaling for Ising systems on fractal structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(3), pages 515-522.
  • Handle: RePEc:eee:phsmap:v:264:y:1999:i:3:p:515-522
    DOI: 10.1016/S0378-4371(98)00467-1
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    Keywords

    Hysteresis; Ising model; Sierpinski carpets;

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