Self-consistent theory of intrinsic localized modes: application to monatomic chain
Pattern Formation and Solitons
2015-05-27 v1 Dynamical Systems
Classical Physics
Abstract
A theory of intrinsic localized modes (ILMs) in anharmonic lattices is developed, which allows one to reduce the original nonlinear problem to a linear problem of small variations of the mode. This enables us to apply the Lifshitz method of the perturbed phonon dynamics for the calculations of ILMs. In order to check the theory, the ILMs in monatomic chain are considered. A comparison of the results with the corresponding molecular dynamics calculations shows an excellent agreement.
Keywords
Cite
@article{arxiv.1103.5333,
title = {Self-consistent theory of intrinsic localized modes: application to monatomic chain},
author = {V. Hizhnyakov and A. Shelkan and M. Klopov},
journal= {arXiv preprint arXiv:1103.5333},
year = {2015}
}
Comments
9 pages, 1 figure, 1 table