Noise-driven dynamic phase transition in a one-dimensional Ising-like model.
The dynamical evolution of a recently introduced one-dimensional model [S. Biswas and P. Sen, Phys. Rev. E 80, 027101 (2009)] (henceforth, referred to as model I), has been made stochastic by introducing a parameter beta such that beta=0 corresponds to the Ising model and beta-->infinity to the original model I. The equilibrium behavior for any value of beta is identical: a homogeneous state. We argue, from the behavior of the dynamical exponent z , that for any beta not equal 0 , the system belongs to the dynamical class of model I indicating a dynamic phase transition at beta=0. On the other hand, the persistence probabilities in a system of L spins saturate at a value Psat(beta,L)=(beta/L)alphafbeta, where alpha remains constant for all beta not equal 0 supporting the existence of the dynamic phase transition at beta=0. The scaling function f(beta) shows a crossover behavior with f(beta)=constant for beta1 and f(beta) proportional, variantbeta-alpha for beta1.
Sen
Parongama
P
Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700009, India.
D003198:Computer Simulation; D004574:Electromagnetic Fields; D008956:Models, Chemical; D015233:Models, Statistical; D044367:Phase Transition