Energy spreading,equipartition,and chaos in lattices with non-central forces

作     者：Yong-Jing Chen Yang Su Guoxiang Dong Li-Le Liu Zhigang GeXiaobao Wang 陈永静;宿阳;董国香;刘丽乐;葛智刚;王小保

作者机构：China Nuclear Data CenterChina Institute of Atomic EnergyBeijing 102413China School of ScienceHuzhou UniversityHuzhou 313000China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2022年第31卷第2期

页      面：119-128页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：Supported by National Natural Science Foundation of China(11790325,11790320,11790321,11961131010,U1732138,11505056,11605054,U2067205,12105369,12047568,12147219) the Continuous Basic Scientific Research Project(WDJC-2019-09) 

主　　题：Anderson localization energy spreading energy equipartition chaos 

摘      要：We numerically study a one-dimensional,nonlinear lattice model which in the linear limit is relevant to the study of bending(flexural)*** contrast with the classic one-dimensional mass-spring system,the linear dispersion relation of the considered model has different characteristics in the low frequency *** introducing disorder in the masses of the lattice particles,we investigate how different nonlinearities in the potential(cubic,quadratic,and their combination)lead to energy delocalization,equipartition,and chaotic *** excite the lattice using single site initial momentum excitations corresponding to a strongly localized linear mode and increase the initial energy of *** a certain energy threshold,when the cubic nonlinearity is present,the system is found to reach energy equipartition and total *** the other hand,when only the quartic nonlinearity is activated,the system remains localized and away from equipartition at least for the energies and evolution times considered ***,for large enough energies for all types of nonlinearities we observe *** chaotic behavior is combined with energy delocalization when cubic nonlinearities are present,while the appearance of only quadratic nonlinearity leads to energy *** results reveal a rich dynamical behavior and show differences with the relevant Fermi–Pasta–Ulam–Tsingou *** findings pave the way for the study of models relevant to bending(flexural)waves in the presence of nonlinearity and disorder,anticipating different energy transport behaviors.