Determination of the critical point and exponents from short-time dynamics

Abstract

The dynamic process for the two-dimensional three state Potts model in the critical domain is simulated by the Monte Carlo method. It is shown that the critical point may be located from the universal short-time behaviour. From the power law behaviour of the magnetization the exponents β vz and 1 vz are determined. The critical point and the critical exponent β v obtained from this system turn out to be very close to the expected values.