Structure and stability of nonlinear vibration mode in graphene sheet
Structure and stability of nonlinear vibration mode in graphene sheet
复制标题
石墨烯片非线性振动模式的结构与稳定性
DOI：
10.1016/j.proeng.2011.04.559
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Y. Doi and A. Nakatani
中科院分区：
文献类型：
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作者：
小金丸正明;多田直弘;池田徹;宮崎則幸;友景肇;嶋田隆広;Y. Doi and A. Nakatani
研究了石墨烯片中原子相互作用的非线性引起的能量局域化。在非线性晶格中，存在称为离散呼吸 (DB) 或本征局域模式 (ILM) 的局域振动模式。我们通过牛顿-拉夫森方法和分子动力学（MD）方法相结合的程序，将石墨烯片中的DB搜索为频率比声子模式更大的非周期解。我们获得了长期有效的振动模式。讨论了局域模态的空间结构、振幅和振动频率等特征。除此之外，我们还通过基于周期解的 Floquet 理论的数值分析研究了 DB 解的线性稳定性。 MD模拟观察到振动模式的动态不稳定性，这可能导致DB结构的变化。
Energy localization due to nonlinearity of atomic interactions in a graphene sheet is investigated. In nonlinear lattices, localized vibrational modes called discrete breather (DB) or intrinsic localized mode (ILM) exist. We search the DB in a graphene sheet as aperiodic solution with larger frequency than phonon modes by a procedure combining the Newton-Raphson method and molecular dynamics (MD) method. We obtain long-alive vibrational modes. Some characteristics of the localized mode such as spatial structure, amplitude and vibrational frequency are discussed. Adding to this, we investigate the linear stability of the DB solutions by numerical analysis based on Floquet theory of periodic solutions. Dynamical instability of the vibrational mode is observed by MD simulations, which may lead to change of the structure of DB.