Damage spreading and dynamic stability of kinetic Ising models

Abstract

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.

4 pages RevTeX, 2 Postscript figures

Cited by in corpus (13)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Chaotic behavior and damage spreading in the Glauber Ising model - a master equation approach
• Identification of domain walls in coarsening systems at finite temperature
• Damage spreading transition in an opinion dynamics model
• Differences between regular and random order of updates in damage spreading simulations
• In an Ising model with spin-exchange dynamics damage always spreads
• Large-scale fluctuations of the largest Lyapunov exponent in diffusive systems
• Damage spreading in random field systems
• Study of Damage Propagation at the Interface Localization-Delocalization Transition of the Confined Ising Model
• Self-overlap as a method of analysis in Ising models
• Transient behavior of damage spreading in the two-dimensional Blume-Capel ferromagnet
• Spreading of Damage in the SK Spherical Spin Glass
• A Model for Damage Spreading with Damage Healing: Monte Carlo Study of the two Dimensional Ising Ferromagnet