Au Effkient Monte Carlo Technique for Continuous Functions and Universal Scaling Functions

Koo-Chul Lee；Young-Kyun Kwon

Chinese Journal of Physics

30卷5期（1992 / 10 / 01）

737 - 752

英文

The functional Monte Carlo method devised by one of the authors for the efficiency and accuracy can be used to calculate universal scaling functions. In order to demonstrate the technique we take 3-state Potts model for which many of the exact critical properties are known. Various thermodynamic functions of Potts model on square lattice of sizes ranging from 6 X 6 to 33 X 33 are calculated and the two scale factor universality (or hyperuniversality) theory put forward by Privman and Fisher is tested and verified. We also estimate the higher order derivatives of universal function using hyperuniversality hypothesis.