Hysteresis scaling for Ising systems on fractal structures

G.p Zheng and J.x Zhang

Physica A: Statistical Mechanics and its Applications, 1999, vol. 264, issue 3, 515-522

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.

Keywords: Hysteresis; Ising model; Sierpinski carpets (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:264:y:1999:i:3:p:515-522

DOI: 10.1016/S0378-4371(98)00467-1

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