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

Abstract

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

CLC Number:

O414.22

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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