Reflection Wave Suppression in Frenkel-Kontrova Model Simulation: Analysis Based on the GKYP Lemma
Reflection Wave Suppression in Frenkel-Kontrova Model Simulation: Analysis Based on the GKYP Lemma
复制标题
Frenkel-Kontrova 模型仿真中的反射波抑制：基于 GKYP 引理的分析
DOI：
10.9746/jcmsi.3.172
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
J. Imura
中科院分区：
文献类型：
--
作者：
T. Ishizaki;K. Kashima;J. Imura
Frenkel-Kontorova模型是一种非线性晶格模型，用于表示晶体和DNA结构中的位错等极其复杂的行为。该模型是由无穷多个键合粒子组成的动力系统。因此，对该模型的数值模拟采用了空间约束模型。然而，由于这种有限的近似，在边界处会出现一种称为反射波的现象，这种现象在模拟中会大大降低计算精度。因此，本文提出了一种利用广义卡尔曼-雅库博维奇-波波夫引理分析反射波性质的方法。
The Frenkel-Kontorova model is a nonlinear lattice model to represent extremely complicated behaviors such as a dislocation in crystal and DNA structures. This model is given as the dynamical system composed of infinitely many bonded particles. Thus, a spatially restricted model is used in numerical simulations of this model. However, a phenomenon called a reflection wave, which will occur at the boundary due to this finite approximations, is known to considerably degrade computational precision in the simulation. This paper thus proposes a method to analyze a property of this reflection wave via the Generalized Kalman-Yakubovich-Popov (GKYP) lemma.
影响因子：
6.8
作者：
T. Iwasaki;S. Hara
通讯作者：
T. Iwasaki;S. Hara