Damage Spreading in the Ising Model

Details Damage Spreading in the Ising Model Damage Spreading in the Ising Model

1997-01-05

arxiv.org/abs/cond-mat/9701011v2

Phys. Rev. E 56, 94 (1997)

Physics

Condensed Matter

Statistical Mechanics

5 pages, RevTeX, revised and extended version, including 3 postscript figures

Scientific paper

10.1103/PhysRevE.56.94

We present two new results regarding damage spreading in ferromagnetic Ising models. First, we show that a damage spreading transition can occur in an Ising chain that evolves in contact with a thermal reservoir. Damage heals at low temperature and spreads for high T. The dynamic rules for the system's evolution for which such a transition is observed are as legitimate as the conventional rules (Glauber, Metropolis, heat bath). Our second result is that such transitions are not always in the directed percolation universality class.

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