Jump diffusion in the strong-collision model on deformable substrate potential

Abstract

The influence of substrate potential shape on the diffusion mechanism of a classical particle is studied in the framework of a Bhatnagar, Gross, and Krook (BGK) model, where each collision of the particle with the thermal bath reequilibrates the velocity. In this model, the particle suffers the collisions of frequency η with the substrate atoms. In this paper, we investigated the dynamic proprieties of one-dimensional system of a classical particles immersed in a symmetric periodic Remoissenet–Peyrard potential using strong collision BGK model. Molecular dynamics simulations are carried out in order to simulate the dynamics properties of moving particle in a one-dimensional structure. Our potential model is characterized by a parameter ξ called deformability factor. The analysis of the strong collision model in the deformable potential showed that the deformability factor ξ play an important role in the diffusion process. Indeed, its variation has a considerable effect on the following physical quantities: jump rate rj and simple jump probability P1.