Stochastic dynamics of coupled systems and spreading of damage

Details Stochastic dynamics of coupled systems and spreading of damage Stochastic dynamics of coupled systems and spreading of damage

2003-06-16

arxiv.org/abs/cond-mat/0306410v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 2 figures

Scientific paper

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.

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