Stochastic dynamics of coupled systems and spreading of damage

T. Tome, E. Arashiro, J. R. Drugowich de Felicio, M. J. de Oliveira

Published 2003-06-16Version 1

We study the spreading of damage in the one-dimensional Ising model by means of the stochastic dynamics resulting from coupling the system and its replica by a family of algorithms that interpolate between the heat bath and the Hinrichsen-Domany algorithms. At high temperatures the dynamics is exactly mapped into de Domany-Kinzel probabilistic cellular automaton. Using a mean-field approximation and Monte Carlo simulations we find the critical line that separates the phase where the damage spreads and the one where it does not.