Analytical resolution of the reactive diffusion equation for transient electronics including materials whose porosity value changes in terms of their thickness

Agustín Vargas Toro

doi:10.1117/12.2048852

22 May 2014 Analytical resolution of the reactive diffusion equation for transient electronics including materials whose porosity value changes in terms of their thickness

Agustín Vargas Toro

Author Affiliations +

Proceedings Volume 9118, Independent Component Analyses, Compressive Sampling, Wavelets, Neural Net, Biosystems, and Nanoengineering XII; 911816 (2014) https://doi.org/10.1117/12.2048852
Event: SPIE Sensing Technology + Applications, 2014, Baltimore, MD, United States

Abstract

Transient electronic devices are a new technology development whose main characteristic is that its components can disappear in a programmed and controlled way, which means such devices have a pre-engineered service life. Nowadays, transient electronics have a large application field, involving from the reduction of e-waste in the planet until the development of medical instruments and implants that can be discarded when the patients do not need it anymore, avoiding the trouble of having an extra procedure for them. These devices must be made from biocompatible materials avoiding long-term adverse effects in the environment and patients. It is fundamental to develop an analytical model that allows describing the behavior of these materials considering cases which its porosity may be constant or not, in presence of water or any other biofluid. In order to accomplish this analysis was solve the reactive diffusion equation based on Bromwich’s integral and the Residue theorem for two material cases, those whose porosity is constant, and those whose porosity increases linearly in terms of its thickness, where was found a general expression. This allows to the analysis of the relation of the electric resistance (per unit length) and the rate of dissolution of the material.

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Agustín Vargas Toro "Analytical resolution of the reactive diffusion equation for transient electronics including materials whose porosity value changes in terms of their thickness", Proc. SPIE 9118, Independent Component Analyses, Compressive Sampling, Wavelets, Neural Net, Biosystems, and Nanoengineering XII, 911816 (22 May 2014); https://doi.org/10.1117/12.2048852

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KEYWORDS

Diffusion

Electronics

Differential equations

Resistance

Computing systems

Bessel functions

Biocompatible materials

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