Abstract
The system proceed which breaks from one steady state to another is called phase transitions and critical phenomena. They’re significant study objects of statistical physics and condensed state physics. In recent years, with the development of computer technology, it already made numerical simulations become an effective method in studying transitions and critical phenomena. The present paper adopts short-time dynamics method to simulate spin of tow-dimension Ising model in the critical phase transition.
Firstly, we discussed the Monte Carlo method and numerical simulation method theoretically, and introduced importance sampling, detailed balancing condition, Metropolis algorithm and Heat-bath algorithm etc. Then we illustrated all kinds of spin model along with their equilibrium states and nonequilibrium states theoretically, and introduced critical slowing, cluster algorithm and Ising model etc. On this basic, with Monte Carlo method, we simulated phase transition of tow-dimension Ising model. We came to a conclusion of law evolved by time and conducted relevant discussions.
Keywords: short-time dynamics critical slowing Monte Carlo method Ising model
