In an Ising model with spin-exchange dynamics damage always spreads

Abstract

We investigate the spreading of damage in Ising models with Kawasaki spin-exchange dynamics which conserves the magnetization. We first modify a recent master equation approach to account for dynamic rules involving more than a single site. We then derive an effective-field theory for damage spreading in Ising models with Kawasaki spin-exchange dynamics and solve it for a two-dimensional model on a honeycomb lattice. In contrast to the cases of Glauber or heat-bath dynamics, we find that the damage always spreads and never heals. In the long-time limit the average Hamming distance approaches that of two uncorrelated systems. These results are verified by Monte-Carlo simulations.

5 pages REVTeX, 4 EPS figures, final version as published

References in corpus (4)

• An Objective Definition of Damage Spreading - Application to Directed Percolation
• Chaotic behavior and damage spreading in the Glauber Ising model - a master equation approach
• Damage spreading and dynamic stability of kinetic Ising models
• Damage spreading in random field systems

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