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.

References in corpus (3)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Current in a three-dimensional periodic tube with unbiased forces
• Entropic particle transport in periodic channels

Cited by in corpus (5)

• Transport coefficients for a confined Brownian ratchet operating between two heat reservoirs
• Diffusion of interacting particles in a channel with reflection boundary conditions
• Quantum statistics of classical particles derived from the condition of free diffusion coefficient
• Interactions enhance dispersion in fluctuating channels via emergent flows
• Invited review: Fluctuation-induced transport. From the very small to the very large scales