Monte Carlo technique for universal finite-size-scaling functions: Application to the 3-state Potts model on a square lattice

1992 ◽  
Vol 69 (1) ◽  
pp. 9-12 ◽  
Author(s):  
Koo-Chul Lee
Keyword(s):  
Monte Carlo ◽  
Potts Model ◽  
Finite Size ◽  
Monte Carlo Technique ◽  
Square Lattice ◽  
Scaling Functions ◽  
Finite Size Scaling ◽  
Size Scaling

scholarly journals UNIVERSAL FINITE-SIZE-SCALING FUNCTIONS

1996 ◽  
Vol 07 (03) ◽  
pp. 287-294 ◽  
Author(s):  
YUTAKA OKABE ◽  
MACOTO KIKUCHI
Keyword(s):  
Monte Carlo ◽  
Distribution Function ◽  
Order Parameter ◽  
Finite Size ◽  
Square Lattice ◽  
Parameter Distribution ◽  
Scaling Functions ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Regular Lattices

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.

Finite-size scaling of the three-state Potts model on a simple cubic lattice

1990 ◽  
Vol 59 (5-6) ◽  
pp. 1397-1429 ◽  
Author(s):  
M. Fukugita ◽  
H. Mino ◽  
M. Okawa ◽  
A. Ukawa
Keyword(s):  
Potts Model ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Cubic Lattice ◽  
Size Scaling ◽  
Simple Cubic ◽  
Simple Cubic Lattice
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