Numerical Study on Unstable Perturbation of Intrinsic Localized Modes in Graphene

• DOI Yusuke

  Department of Adaptive Machine Systems, Graduate School of Engineering, Osaka University

• NAKATANI Akihiro

  Department of Adaptive Machine Systems, Graduate School of Engineering, Osaka University

Abstract

A nonlinear vibration mode, referred to as the intrinsic localized mode (ILM), in graphene is investigated based on precise numerical solutions obtained by the iteration method coupled with molecular dynamics simulations. We obtain ILMs for which the frequency is greater than the maximum frequency of the phonon bands of graphene. The amplitude and structure of ILMs indicate that these ILMs are simply vibration modes due to the nonlinearity of the system. Moreover stability analysis of ILMs in graphene is performed numerically by solving the eigenvalue problem of the monodromy matrix based on Floquet theory for periodic solutions. In all cases, the ILM was found to have unstable perturbation modes. The growth rate of the unstable perturbation modes exhibits complex change behavior as the period of ILMs changes. The structure and growth rate of the unstable perturbation modes can be classified into two types. The most unstable perturbation mode is also localized and provides cooperative motions of neighbor atoms of the ILM.

Journal

• Journal of Solid Mechanics and Materials Engineering

  Journal of Solid Mechanics and Materials Engineering 6 (1), 71-80, 2012

  The Japan Society of Mechanical Engineers

Keywords

• Intrinsic Localized Mode
• Molecular Dynamics
• Graphene
• Instability

Details

• CRID: 1390001205264298624
• NII Article ID: 130002072457
• DOI: 10.1299/jmmp.6.71
• BIBCODE: 2012JSMME...6...71D
• ISSN: 18809871
• Web Site: http://www.jstage.jst.go.jp/article/jmmp/6/1/6_1_71/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed