Localized Excitations in two-dimensional Hamiltonian Lattices

Preprint

28 July 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9407108

Abstract

We analyze the origin and features of localized excitations in a discrete two-dimensional Hamiltonian lattice. The lattice obeys discrete translational symmetry, and the localized excitations exist because of the presence of nonlinearities. We connect the presence of these excitations with the existence of local integrability of the original N degree of freedom system. On the basis of this explanation we make several predictions about the existence and stability of these excitations. This work is an extension of previously published results on vibrational localization in one-dimensional nonlinear Hamiltonian lattices (Phys.Rev.E.49(1994)836). Thus we confirm earlier suggestions about the generic property of Hamiltonian lattices to exhibit localized excitations independent on the dimensionality of the lattice.

Keywords

All Related Versions

Version 1, 1994-07-28, ArXiv
Published version: Physical Review E, 50 (3), 2293.

This publication has 0 references indexed in Scilit: