β Scribed by B.C.S. Grandi; W. Figueiredo
No coin nor oath required. For personal study only.
The two-dimensional Ising model in contact with a heat bath at infinite temperature, T ~ oc, is considered. The model is subject to two competing stochastic processes: the Glauber dynamics with probability p and the Kawasaki one with probability (1 -p). The Glauber process is associated to the random flipping of single spins at T ---* oΒ’, while the spin exchange Kawasaki dynamics occurs at T--+ 0-, what increases the energy of the system. We show that the model exhibits a continuous transition from the paramagnetic to the antiferromagnetic phase at the critical value pc = 0,073 q-0.003. We have used Monte Carlo simulations and finite size analysis in order to calculate the critical probability and the critical exponents of the model. Surprisingly, our value found for the critical probability is almost the same as the critical noise parameter of the isotropic majority-vote model on a square lattice.
π SIMILAR VOLUMES
The long ranged Gaussian random Ising bond model and short ranged binary random Ising bond model are discussed by the method of the pair approximation of the cluster variation and by the method of the integral equation for the distribution function of the effective fields. For the long ranged model,