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

Benno Rumpf

doi:10.1103/physreve.69.016618

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arXiv · nlin/0312058

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

Benno Rumpf

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Abstract

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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Benno Rumpf. 2003-12-22. A simple statistical explanation for the localization of energy in nonlinear lattices with two conserved quantities. https://doi.org/10.1103/physreve.69.016618

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