Transport of interacting particles in a chain of cavities: Description through a modified Fick-Jacobs equation

SUÁREZ, GONZALO PABLO; HOYUELOS, MIGUEL; MÁRTIN, HÉCTOR

PHYSICAL REVIEW E

AMER PHYSICAL SOC

Lugar: New York; Año: 2015 vol. 91 p. 12135 - 12141

1539-3755

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.