title: 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.
authors: Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR - CONICET) and Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Deán Funes 3350, 7600 Mar del Plata, Argentina.
authors: G P
authors: GP
authors: Suárez
authors: Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR - CONICET) and Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Deán Funes 3350, 7600 Mar del Plata, Argentina.
authors: M
authors: M
authors: Hoyuelos
authors: Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR - CONICET) and Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Deán Funes 3350, 7600 Mar del Plata, Argentina.
authors: H O
authors: HO
authors: Mártin