离散呼吸子影响下的一维类FPUT系统的能量弛豫  

Energy Relaxation of One-Dimensional FPUT System under the Influence of Discrete Breathers

作　　者：熊大兴 王忠瀚 XIONG Daxing;WANG Zhonghan(Minjiang Collaborative Center for Theoretical Physics,Minjiang University,Fuzhou,Fujian 350108,China;College of Physics and Electronic Information Engineering,Minjiang University,Fuzhou,Fujian 350108,China)

机构地区：[1]闽江学院闽江理论物理协作中心,福建福州350108 [2]闽江学院物理与电子信息工程学院,福建福州350108

出　　处：《闽江学院学报》2024年第2期7-12,共6页Journal of Minjiang University

基　　金：国家自然科学基金项目(12275116);福建省自然科学基金项目(2021J02051);闽江学院引进人才科研启动项目(MJY21035)。

摘　　要：通过边界冷却的方法,研究一维Fermi-Pasta-Ulam-Tsingou(FPUT)类型的体系在此吸收边界条件下的能量弛豫过程。研究发现,与传统的简谐(harmonic)系统对比,具有三次方非简谐的FPUT-3模型和具有四次方非简谐的FPUT-4模型的能量弛豫会呈现出定性不同的特性。FPUT-3模型会出现一段长时间的能量零衰减现象。进一步分析表明,这一零衰减特性与系统在此段时间产生的离散呼吸子紧密相关。By employing the method of boundary cooling,this study investigates the energy relaxation process of one-dimensional Fermi-Pasta-Ulam-Tsingou(FPUT)type systems under absorbing boundary conditions.The research reveals that compared to traditional harmonic systems,FPUT-3 models with cubic nonlinearity and FPUT-4 models with quartic nonlinearity exhibit qualitatively different characteristics in energy relaxation.In particular,the FPUT-3 model displays a prolonged period of zero decay in energy.Further analysis indicates that this zero decay feature is closely related to the generation of discrete breathers during this time interval.

关 键 词：能量弛豫 离散呼吸子 FPUT模型 

分 类 号：O414.22[理学—理论物理]