Computer simulation of intrinsic localized modes in one-dimensional and two-dimensional anharmonic lattices

Abstract

The properties of stable and movable intrinsic localized vibrations (ILV’s) have been investigated by the particle method. It is shown primarily with the help of computer experiments that an ILV in an anharmonic lattice is identical to a localized vibration near a force-constant defect in a harmonic lattice. The temperature dependence of the localization threshold is presented. The differences between ILV’s and solitons are discussed. A brief study is also made on the existence of ILV in a two-dimensional square lattice.