Damage spreading and dynamic stability of kinetic Ising models

Details Damage spreading and dynamic stability of kinetic Ising models Damage spreading and dynamic stability of kinetic Ising models

1996-10-10

arxiv.org/abs/cond-mat/9610084v1

J. Phys. A 30, L7 (1997)

Physics

Condensed Matter

Statistical Mechanics

4 pages RevTeX, 2 Postscript figures

Scientific paper

10.1088/0305-4470/30/1/002

We investigate how the time evolution of different kinetic Ising models depends on the initial conditions of the dynamics. To this end we consider the simultaneous evolution of two identical systems subjected to the same thermal noise. We derive a master equation for the time evolution of a joint probability distribution of the two systems. This equation is then solved within an effective-field approach. By analyzing the fixed points of the master equation and their stability we identify regular and chaotic phases.

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