Brazilian Journal of Physics
Print version ISSN 0103-9733
TOME, T.; ARASHIRO, E.; FELICIO, J. R. Drugowich de and OLIVEIRA, M. J. de. Stochastic dynamics of coupled systems and damage spreading. Braz. J. Phys. [online]. 2003, vol.33, n.3, pp. 458-463. ISSN 0103-9733. http://dx.doi.org/10.1590/S0103-97332003000300007.
We study the damage spreading 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 to the 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 from the one where it does not.