Short-time Critical Dynamics of Damage Spreading in the Two Dimensional Ising Model

M. LETICIA RUBIO PUZZO; EZEQUIEL V. ALBANO

Mar del Plata

Congreso; XV Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics – MEDYFINOL´06; 2006

MEDYFINOL

The short-time critical dynamics of propagation of damage in the Ising ferromagnet in two dimensions is studied by means of Monte Carlo simulations. Starting with equilibrium configurations at $T= infty$ and magnetization $M=0$, an initial damage is created by flipping a small amount of spins in one of the two replicas studied. In this way, the initial damage is equal to the initial Magnetization $M_0$ in one of the configurations. It is found that, at short-times, the damage increases with an exponent $ heta_D$ which is bigger than the exponent $ heta$ characteristic of the initial increase of the magnetization $M(t)$, at $T_C$, the Onsager critical temperature of the ferromagnetic-paramagnetic transition.We studied the dependence of this power-law behavior, observed in the initial propagation of the damage, with the temperature $T$ and the initial magnetization $M_0$.