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Stochastic dynamics of coupled systems and spreading of damage

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

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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T. Tome, E. Arashiro, J. R. Drugowich de Felicio, M. J. de Oliveira. 2003-06-16. Stochastic dynamics of coupled systems and spreading of damage. https://doi.org/10.1590/s0103-97332003000300007

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