Diffusion mechanism of non-interacting Brownian particles through a deformed substrate

Lahcen Arfa, Mehdi Ouahmane and Lahcen El Arroum

Physica A: Statistical Mechanics and its Applications, 2018, vol. 492, issue C, 781-789

Abstract: We study the diffusion mechanism of non-interacting Brownian particles through a deformed substrate. The study is done at low temperature for different values of the friction. The deformed substrate is represented by a periodic Remoissenet–Peyrard potential with deformability parameter s. In this potential, the particles (impurity, adatoms…) can diffuse. We ignore the interactions between these mobile particles consider them merely as non-interacting Brownian particles and this system is described by a Fokker–Planck equation. We solve this equation numerically using the matrix continued fraction method to calculate the dynamic structure factor S(q,ω). From S(q,ω) some relevant correlation functions are also calculated. In particular, we determine the half-width line λ(q) of the peak of the quasi-elastic dynamic structure factor S(q,ω) and the diffusion coefficient D.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:492:y:2018:i:c:p:781-789

DOI: 10.1016/j.physa.2017.11.008

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