Results of a Monte Carlo simulation of the two-spin facilitated model proposed by Fredrickson and Andersen above the thermodynamic transition temperature without external field on the square lattice are presented. The model is a kinetic Ising model with a special constraint to its kinetic process and was designed to simulate viscous fluid. A time correlation function for uniform magnetization is analyzed using the idea of finite-size scaling and percolation length. For the system size that was simulated, our data fit into a scaling plot adopting the percolation length as a length scale, and we obtain the dynamical critical exponent z ∼ 4, which is different from the usual value z ∼ 2.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)