MONTE-CARLO TECHNIQUE FOR UNIVERSAL FINITE-SIZE-SCALING FUNCTIONS - APPLICATION TO THE 3-STATE POTTS-MODEL ON A SQUARE LATTICE

We present a method which allows calculation of whole universal finite-size-scaling functions from Monte Carlo data. The crux of the new method is a technique of isolating the singular part from the total free energy. We apply this method to the 3-state Potts model on a square lattice and find the normalized scaling function Y(x) in the form 1 + x + 5.31x2 - 1.2x3 - 0.67x4...near the bulk critical point x=0, together with the normalizing universal amplitude E = 1.053 and a nonuniversal metric factor D = -0.387. It also behaves as Y(x) almost-equal-to (+/- x)(dv)Q +/- for large x in agreement with the hyperuniversality hypothesis with Q+/Q- almost-equal-to 1.