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

Thomas Vojta
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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.

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Thomas Vojta. 1998-08-06. In an Ising model with spin-exchange dynamics damage always spreads. https://doi.org/10.1088/0305-4470%2F31%2F31%2F007

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