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扩散耦合的扩展源模型。

Extended source model for diffusive coupling.

作者信息

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

机构信息

Departamento de Electrónica, Universidad de Guadalajara. Av. Revolución 1500, 44430, Guadalajara Jal, Mexico.

Departamento de Quımica, Universidad de Guadalajara. Blvd. Marcelino García Barragan 1421, 44430, Guadalajara Jal, Mexico.

出版信息

Eur Phys J E Soft Matter. 2016 Jan;39(1):4. doi: 10.1140/epje/i2016-16004-y. Epub 2016 Jan 26.

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.

摘要

受当前用于扩散耦合现象的方法(该方法考虑点状扩散源)的启发,我们推导了扩散耦合扩展容器浓度变化率的类似表达式。所提出的方程,连同基于扩散方程解的表达式,旨在应用于仅由常微分方程组成的系统的数值解,然而它能够考虑由于耦合源的有限尺寸而产生的影响。

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