English

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

Pattern Formation and Solitons 2009-11-10 v1

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.

Keywords

Cite

@article{arxiv.nlin/0312058,
  title  = {A simple statistical explanation for the localization of energy in nonlinear lattices with two conserved quantities},
  author = {Benno Rumpf},
  journal= {arXiv preprint arXiv:nlin/0312058},
  year   = {2009}
}