Biased diffusion in a one-dimensional adsorbed monolayer
O.Benichou(1), A.M.Cazabat(2), A.Lemarchand(1), M.Moreau(1),, G.Oshanin(1) ((1) LPTL, Universite Paris 6, France, (2) LPMC, College de, France, Paris)
TL;DR
This paper analyzes the biased diffusion of a probe particle in a one-dimensional adsorbed monolayer, deriving analytical expressions for density profiles, velocity, mobility, and diffusion, validated by simulations.
Contribution
It introduces a mean-field analytical approach to describe the dynamics of a biased probe in a one-dimensional adsorbed monolayer, including new expressions for key transport properties.
Findings
Analytical density profiles of monolayer particles around the probe.
Calculated terminal velocity, mobility, and diffusion coefficient.
Validation of analytical results through Monte Carlo simulations.
Abstract
We study dynamics of a probe particle, which performs biased diffusive motion in a one-dimensional adsorbed monolayer of mobile hard-core particles undergoing continuous exchanges with a vapor phase. In terms of a mean-field-type approach, based on the decoupling of the third-order correlation functions into a product of the pairwise correlations, we determine analytically the density profiles of the monolayer particles, as seen from the stationary moving probe, and calculate the terminal velocity, mobility and the self-diffusion coefficient of the probe. Our analytical results are confirmed by Monte Carlo simulations.
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