On the transport of interacting particles in a chain of cavities: Description through a modified Fick-Jacobs equation

Abstract

We study the transport process of interacting Brownian particles in a tube of varying cross section. To describe this process we introduce a modified Fick-Jacobs equation, considering particles that interact through a hard-core potential. We were able to solve the equation with numerical methods for the case of symmetric and asymmetric cavities. We focused in the concentration of particles along the direction of the tube. We also preformed Monte Carlo simulations to evaluate the accuracy of the results, obtaining good agreement between theory and simulations.

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Cited by in corpus (7)

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• Diffusion of interacting particles in a channel with reflection boundary conditions
• Quantum statistics of classical particles derived from the condition of free diffusion coefficient
• Mean field approach for diffusion of interacting particles
• Interactions enhance dispersion in fluctuating channels via emergent flows
• Invited review: Fluctuation-induced transport. From the very small to the very large scales
• Current of interacting particles inside a channel of exponential cavities: Application of a modified Fick--Jacobs equation