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 language | English |
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Pages (from-to) | 515-522 |
Number of pages | 8 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 264 |
Issue number | 3-4 |
DOIs | |
Publication status | Published - 1 Mar 1999 |
Externally published | Yes |
Keywords
- 64.60.Ak
- 75.60.Ej
- Hysteresis
- Ising model
- Sierpinski carpets
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics