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González-Ochoa HO, Flores-Moreno R, Reyes LM, et al. Extended source model for diffusive coupling. Eur Phys J E Soft Matter. 2016;39(1):4doi: 10.1140/epje/i2016-16004-y.
González-Ochoa, H. O., Flores-Moreno, R., Reyes, L. M., & Femat, R. (2016). Extended source model for diffusive coupling. The European physical journal. E, Soft matter, 39(1), 4. https://doi.org/10.1140/epje/i2016-16004-y
González-Ochoa, Héctor O, et al. "Extended source model for diffusive coupling." The European physical journal. E, Soft matter vol. 39,1 (2016): 4. doi: https://doi.org/10.1140/epje/i2016-16004-y
González-Ochoa HO, Flores-Moreno R, Reyes LM, Femat R. Extended source model for diffusive coupling. Eur Phys J E Soft Matter. 2016 Jan;39(1):4. doi: 10.1140/epje/i2016-16004-y. Epub 2016 Jan 26. PMID: 26802012.
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Eur Phys J E Soft Matter. 2016 Jan;39(1):4. doi: 10.1140/epje/i2016-16004-y. Epub 2016 Jan 26.

Extended source model for diffusive coupling.

The European physical journal. E, Soft matter

Héctor O González-Ochoa, Roberto Flores-Moreno, Luz M Reyes, Ricardo Femat

Affiliations

  1. Departamento de Electrónica, Universidad de Guadalajara. Av. Revolución 1500, 44430, Guadalajara Jal, Mexico. [email protected].
  2. Departamento de Qu?mica, 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 Potos?, SLP, Mexico.

PMID: 26802012 DOI: 10.1140/epje/i2016-16004-y

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.

Keywords: Flowing Matter: Liquids and Complex Fluids

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