Membrane boundary condition

2000/03/10 by Tadeusz Kosztołowicz, Tadeusz Kosztolowicz, Kosztolowicz, Tadeusz +3
Engineering · Environmental Science · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Membrane Separation Technologies #Membrane Separation and Gas Transport #Membrane-based Ion Separation Techniques #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/0003177

6 pages

arxiv created 2000/03/10 · openalex publication_date 2000/03/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using a microscopic phase-space model of the membrane system, the boundary condition at a membrane is derived. According to the condition, the substance flow across the membrane is proportional to the difference of the substance concentrations at the opposite membrane surfaces. The Green's function of the diffusion equation is found for the derived boundary condition and the exact solution of the equation is given.

Related

• Hyperbolic versus parabolic equation with fractional derivative to describe subdiffusion in a membrane system
• Effect of a membrane on diffusion-driven Turing instability
• Diffusion laws select boundary conditions
• Scaling form of concentration profiles in a subdiffusive membrane system
• On a Model for Phase Separation on Biological Membranes and its Relation to the Ohta-Kawasaki Equation