Linear local modes induced by intrinsic localized modes in a monatomic chain

TL;DR

This paper develops a theory predicting linear local modes induced by intrinsic localized modes in a monatomic chain with anharmonicity, confirmed by molecular dynamics simulations.

Contribution

The paper introduces a theoretical framework for understanding how ILMs induce linear local modes in anharmonic chains, validated by high-precision MD simulations.

Findings

Linear local modes appear near ILMs in the chain.

MD simulations confirm the theoretical predictions.

The theory applies to chains with hard quartic anharmonicity.

Abstract

A theory is developed to describe the effect of an intrinsic localized mode (ILM) on small vibrations in a monatomic chain with hard quartic anharmonicity. One prediction is the appearance in the chain of linear local modes nearby the ILM. To check this result, MD calculations of vibrations under strong local excitation are carried through with high precision. The results fully confirm the prediction.