边界条件对经典非对称相互作用晶格热化的影响

曲靖师范学院学报 ›› 2023, Vol. 42 ›› Issue (6): 1-7.

• 物理学研究 • 下一篇

边界条件对经典非对称相互作用晶格热化的影响

张轩, 韩雨圻, 贺达海

厦门大学物理科学与技术学院,福建厦门 361005

收稿日期:2023-05-19 出版日期:2023-11-26 发布日期:2023-12-07
通讯作者: 贺达海,厦门大学物理科学与技术学院教授,主要从事非平衡统计物理研究.
作者简介:张轩,厦门大学物理科学与技术学院硕士研究生,主要从事非平衡统计物理研究.
基金资助:
国家自然科学基金面上项目“一维非线性无序晶格的声子输运及其局域化”(12075199).

Effect of Boundary Conditions on Thermalization of Classical Lattices with Asymmetric Interactions

ZHANG Xuan, HAN Yuqi, HE Dahai

College of Physical Science and Technology, Xiamen University, Xiamen Fujian 361005, China

Received:2023-05-19 Published:2023-11-26 Online:2023-12-07

摘要/Abstract

摘要： 研究了不同边界条件的选择对一维经典非线性晶格热化性质的影响.通过数值模拟分别对比自由和固定边界条件下类FPUT模型的热化时间,发现边界条件的选择并不会影响相互作用为对称势时的热化时间标度行为,而相互作用是非对称势的模型则会因此产生显著差异.有趣的是,不仅在自由边界条件下的FPUT-α模型热化过程中发现了违背波湍流理论预测的结果,还未在自由边界条件下的FPUT-α-β模型热化过程中观察到明显的亚稳态性质.这些结果表明,在非对称相互作用晶格的热化数值模拟中,边界条件的选择起着重要的作用.

关键词: 边界条件, 热化, 亚稳态, 非对称作用

Abstract: The influence of different boundary conditions on thermalization of one-dimensional classical nonlinear lattice is studied. The study shows that the scaling behavior of thermalization time for lattices with the asymmetric interaction potential exhibits significant differences under different boundary conditions, which is unlike that for lattices of the symmetric potential by comparing the thermalization times of the FPUT-like lattices under free and fixed boundary conditions respectively. Deviations from the predictions of wave turbulence theory during the thermalization process of the FPUT-α model with free boundary condition are observed, but the distinct metastable state during the thermalization process of the FPUT-α-β model with free boundary condition is not observed. These findings suggest that the choice of boundary conditions plays an important role in numerical simulations of thermalization in lattices with asymmetric interactions.

Key words: boundary condition, thermalization, metastable state, asymmetric interaction

中图分类号:

O414.22

张轩, 韩雨圻, 贺达海. 边界条件对经典非对称相互作用晶格热化的影响[J]. 曲靖师范学院学报, 2023, 42(6): 1-7.

ZHANG Xuan, HAN Yuqi, HE Dahai. Effect of Boundary Conditions on Thermalization of Classical Lattices with Asymmetric Interactions[J]. Journal of Qujing Normal University, 2023, 42(6): 1-7.

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边界条件对经典非对称相互作用晶格热化的影响

Effect of Boundary Conditions on Thermalization of Classical Lattices with Asymmetric Interactions

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