A Mathematical Proof in Nanocatalysis: Better Homogenized Results in the Diffusion of a Chemical Reactant Through Critically Small Reactive Particles

  • Jesús Ildefonso Díaz
  • David Gómez-Castro
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 26)


We consider a reaction-diffusion in which the reaction takes place on the boundary of the reactive particles. In this sense the particles can be thought of as a catalysts that produce a change in the ambient concentration w ε of a reactive element. It is known that depending on the size of the particles with respect to their periodic repetition there are different homogeneous behaviors. In particular, there is a case in which the kind of nonlinear reaction kinetics changes and becomes more smooth. This case can be linked with the strange behaviors that arise with the use of nanoparticles. In this paper we show that concentrations of a catalyst are always higher when nanoparticles are applied.



The research of D. Gómez-Castro is supported by a FPU fellowship from the Spanish government. The research of J.I. Díaz and D. Gómez-Castro was partially supported by the project ref. MTM 2014-57113-P of the DGISPI (Spain).


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Authors and Affiliations

  1. 1.Dpto. de Matemática Aplicada and Instituto de Matemática InterdisciplinarUniversidad Complutense de MadridMadridSpain

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