Stochastic dynamics of coupled systems and spreading of damage
Statistical Mechanics
2015-06-24 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/0306410,
title = {Stochastic dynamics of coupled systems and spreading of damage},
author = {T. Tome and E. Arashiro and J. R. Drugowich de Felicio and M. J. de Oliveira},
journal= {arXiv preprint arXiv:cond-mat/0306410},
year = {2015}
}
Comments
7 pages, 2 figures