Localized Structures in Nonlinear Lattice Systems –Intrinsic Localized Mode– and Its Application to Dynamics of Atoms in Materials

Abstract

We investigate nonlinear energy localization called intrinsic localized modes (ILMs) in two dimensional lattice systems for its application to the dynamics of materials in atomic scale. At first, we calculate quasi-one dimensional ILMs in two dimensional lattice systems with nearest and second-nearest ideal interaction potential. We find that ILM can exist in this system and that the structure of ILM can be affected by the structure of the system. Then we investigate energy localization in graphene sheet by molecular dynamic simulation. Energy localization with finite lifetime which is similar to ILM can appear in the system. These results indicate that ILMs can be excited in materials.