Eur. Phys. J. E (2016) 39: 4
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

Abstract

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.