Diffusion of interacting Brownian particles on non-regularly spaced stepped structures |
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Authors: | Youssef Lachtioui M’hammed Mazroui Yahia Boughaleb Elyakoute El Koraychy |
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Institution: | 1. Laboratoire de la Physique de la Matière Condensée Unité de recherche associée au CNRST (URAC 10), Faculté des Sciences Ben M’sik, Université Hassan II Mohammedia, Casablanca, Morocco 2. Laboratoire de la Physique de la Matière Condensée, Université Chouaib Doukkali, El Jadida, Morocco 3. Académie Hassan II des Sciences et Techniques, Rabat, Morocco
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Abstract: | In this paper, we investigate the diffusion process of interacting Brownian particles on stepped surfaces through a Langevin dynamic simulation method. Our primary interest is the investigation of the dynamics properties by calculating the collective diffusion coefficient for non-regularly spaced stepped structures using the Frenkel–Kontorova repulsive interactions. In particular, we have studied the effects of the Ehrlich–Schwoebel barrier $E_{S}$ and the additional binding energy $E_{B}$ on the diffusion process. Overall, our simulation results show that the value of the diffusion coefficient $D$ is reduced with increasing $E_{S}$ and $E_{B}$ . This reduction is also observed when decreasing the size of terraces. This diminution is well interpreted by calculating the effective potential which includes the effect of both potentials of Frenkel–Kontorova and the substrate. |
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