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 can rigorously be located from the universal short-time behaviour. This makes it possible to investigate critical dynamics independently of the equilibrium state. From the power law behaviour of the magnetization the exponents $\beta /(\nu z)$ and $1/(\nu z)$ are determined.

6 pages, 4 figures

References in corpus (6)

• Dynamic Monte Carlo Measurement of Critical Exponents
• The short-time Dynamics of the Critical Potts Model
• Monte Carlo Simulation of Universal Short-Time Behavior in Critical Relaxation
• Universality and Scaling in Short-time Critical Dynamics
• Finite Size Scaling and Critical Exponents in Critical Relaxation
• Phase Ordering of 2D XY Systems Below T_{KT}

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