A Geometrical Model for Stagnant Motion in Hamiltonian Systems with Many Degrees of Freedom

Abstract

We introduce a model of Poincar\'e mappings which represents hierarchical structure of phase spaces for systems with many degrees of freedom. The model yields residence time distribution of power type, hence temporal correlation remains long. The power law behavior is enhanced as the system size increases.Comment: 6 pages, 3 Encapsulated Postscript figures, LaTeX (58 kb