UNIVERSAL FINITE-SIZE-SCALING FUNCTIONS

Yutaka Okabe () and Macoto Kikuchi ()
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Yutaka Okabe: Department of Physics, Tokyo Metropolitan University, Tokyo 192-03, Japan
Macoto Kikuchi: Department of Physics, Osaka University, Toyonaka 560, Japan

International Journal of Modern Physics C (IJMPC), 1996, vol. 07, issue 03, 287-294

Abstract: The idea of universal finite-size-scaling functions of the Ising model is tested by Monte Carlo simulations for various lattices. Not only regular lattices such as the square lattice but quasiperiodic lattices such as the Penrose lattice are treated. We show that the finite-size-scaling functions of the order parameter for various lattices are collapsed on a single curve by choosing two nonuniversal scaling metric factors. We extend the idea of the universal finite-size-scaling functions to the order-parameter distribution function. We pay attention to the effects of boundary conditions.

Keywords: Universal Finite-Size-Scaling Function; Ising Model; Order-Parameter Probability Distribution Function (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1142/S0129183196000223

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