A simple statistical explanation for the localization of energy in nonlinear lattices with two conserved quantities

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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Scientific paper

10.1103/PhysRevE.69.016618

The localization of energy in the discrete nonlinear Schroedinger equation is
explained with statistical methods. The partition function and the entropy of
the system are computed for low-amplitude initial conditions. Detailed
predictions for the long-time solution are derived.

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