Energy Trapping in Loaded String Models with Long- and Short-Range Couplings

Abstract

This note illustrates the possibility in simple loaded string models of trapping most of the system energy in a single degree of freedom for very long times, demonstrating in particular that the robustness of the trapping is enhanced by increasing the `connectance' of the system, i.e., the extent to which many degrees of freedom are coupled directly by the interaction Hamiltonian, and/or the strength of the couplings.

11 pages, 7 figures; high-resolution, color versions of the figures are available at http://www.astro.ufl.edu/~galaxy/papers/

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