Kazuhisa Kaneda et al 1999 J. Phys. A: Math. Gen. 32 7263 doi:10.1088/0305-4470/32/42/303
Shape effects of finite-size scaling functions for anisotropic three-dimensional Ising models
Kazuhisa Kaneda
, Yutaka Okabe and Macoto Kikuchi
The finite-size scaling (FSS) functions for anisotropic three-dimensional (3D) Ising models of size L1 × L1 × aL1 (a: anisotropy parameter) are studied by Monte Carlo simulations. We study the a dependence of FSS functions of the Binder parameter g and the magnetization distribution function p(m). We have shown that the FSS functions for p(m) at the critical temperature change from a two-peak structure to a single-peak one by increasing or decreasing a from 1. We also study the FSS near the critical temperature of the layered square-lattice Ising model, when the systems have a large two-dimensional (2D) anisotropy. We have found the 3D and 2D FSS behaviour depending on the parameter which is fixed; a unified view of 3D and 2D FSS behaviour has been obtained for the anisotropic 3D Ising models.
- PACS
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05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
75.10.Hk Classical spin models
75.60.Ej Magnetization curves, hysteresis, Barkhausen and related effects
- MSC
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82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
82B80 Numerical methods (Monte Carlo, series resummation, etc.) (See also 65-XX, 81T80)
- Subjects
- Dates
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Issue 42 (22 October 1999)
Received 22 July 1999
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Shape effects of finite-size scaling functions for anisotropic three-dimensional Ising models
Kazuhisa Kaneda et al 1999 J. Phys. A: Math. Gen. 32 7263
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