# Damage Spreading in a 2D Ising Model with Swendsen–Wang Dynamics

@article{Hinrichsen1998DamageSI,
title={Damage Spreading in a 2D Ising Model with Swendsen–Wang Dynamics},
author={Haye Hinrichsen and Eytan Domany and Dietrich Stauffer},
journal={Journal of Statistical Physics},
year={1998},
volume={91},
pages={807-814}
}
• Published 11 February 1998
• Physics
• Journal of Statistical Physics
Damage spreading for Ising cluster dynamics is investigated numerically by using random numbers in a way that conforms with the notion of submitting the two evolving replicas to the same thermal noise. Two damage spreading transitions are found; damage does not spread either at low or high temperatures. We determine some critical exponents at the high-temperature transition point, which seem consistent with directed percolation.
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## References

SHOWING 1-10 OF 10 REFERENCES
Comparative study of damage spreading in the Ising model using heat-bath, glauber, and metropolis dynamics
• Physics
• 1990
AbstractWe study the time evolution of two configurations of the Ising model submitted to heat-bath (HB), Glauber (G), and two types of Metropolis (M and $$\tilde M$$ ) dynamics, analyzing the damage
The dynamic critical exponent of the three-dimensional Ising model
• Physics
• 1994
We measure the dynamic exponent of the three-dimensional Ising model using a “damage spreading” Monte Carlo approach as described by MacIsaac and Jan. We simulate systems fromL=5 toL=60 at the
Are damage spreading transitions generically in the universality class of directed percolation?
We present numerical evidence for the fact that the damage spreading transition in the Domany-Kinzel automaton found by Martinset al. is in the same universality class as directed percolation. We
An Algorithm-Independent Definition of Damage Spreading—Application to Directed Percolation
• Computer Science
• 1997
A general definition of damage spreading is presented in a pair of models and its application to the Domany–Kinzel cellular automaton is presented, this being the simplest model in which damage spreading has been found and studied extensively.
Directed percolation in 2+1 dimensions
The author presents results of Monte Carlo simulations for directed percolation in 2+1 dimensions very close to the percolation threshold. His values for pc for bond and site percolation on the BCC
Cluster Monte Carlo algorithms
• Computer Science
• 1990