https://doi.org/10.1140/epje/i2016-16004-y
Regular Article
Extended source model for diffusive coupling
Extended source model for diffusive coupling
1
Departamento de Electrónica, Universidad de Guadalajara. Av. Revolución 1500, 44430, Guadalajara Jal, Mexico
2
Departamento de Quımica, Universidad de Guadalajara. Blvd. Marcelino García Barragan 1421, 44430, Guadalajara Jal, Mexico
3
Departamento de Ciencias Computacionales, Universidad de Guadalajara. Av. Revolución 1500, 44430, Guadalajara Jal, Mexico
4
División de Matemáticas Aplicadas, IPICyT, Camino a la Presa San José 2055, 78216, San Luis Potosı, SLP, Mexico
* e-mail: hector.tnh@gmail.com
Received:
1
September
2015
Accepted:
23
December
2015
Published online:
26
January
2016
Motivated by the prevailing approach to diffusion coupling phenomena which considers point-like diffusing sources, we derived an analogous expression for the concentration rate of change of diffusively coupled extended containers. The proposed equation, together with expressions based on solutions to the diffusion equation, is intended to be applied to the numerical solution of systems exclusively composed of ordinary differential equations, however is able to account for effects due the finite size of the coupled sources.
Key words: Flowing Matter: Liquids and Complex Fluids
© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2016
