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Abstract
Persistence in spatially extended dynamical systems (e.g., coarsening and other nonequilibrium systems) is reviewed. We discuss, in particular, the spatial correlations in the persistent regions and their evolution in time. We also discuss the dependence of the persistence behavior on the dynamics of the system, and consider the specific example of different updating rules in the temporal evolution of the system. Finally, we discuss the universal behavior shown by persistence in various stochastic models belonging to the directed percolation universality class.
Acknowledgements
The author is grateful to D. Dhar, P. Shukla, S. Sinha and G. Manoj for their valuable suggestions and comments. He also thanks R. Roy for critically reading the manuscript.