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Adsorption Phenomena and Anomalous Behavior

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An Introduction to Anomalous Diffusion and Relaxation

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Abstract

This chapter deals with illustrative problems involving anomalous diffusion behavior in connection with adsorption phenomena at the interface between a solid and a fluid phase. The kinetic balance equations at the interface are of Langmuir’s type and their generalizations, which are mostly developed using memory kernels and also considering reversible and irreversible reactions. In these contexts, the emergence of anomalous behavior is found even when the diffusion equations governing the bulk behavior are not fractional. In these cases, the interfaces allow for physysorption as well as Chemisorption   by incorporating those kernels which are localized or not in time. For completeness, applications dealing with fractional diffusion equations or fractional kinetic equations are also handled to evidence the potentiality of this formalism to describe the interplay between anomalous relaxation methods and interfacial behavior.

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Authors and Affiliations

  1. Departamento de Física, Universidade Estadual de Maringá, Maringá, Paraná, Brazil

    Luiz Roberto Evangelista

  2. Departamento de Física, Universidade Estadual de Ponta Grossa, Ponta Grossa, Paraná, Brazil

    Ervin Kaminski Lenzi

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  1. Luiz Roberto Evangelista
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  2. Ervin Kaminski Lenzi
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Correspondence to Luiz Roberto Evangelista .

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Evangelista, L.R., Lenzi, E.K. (2023). Adsorption Phenomena and Anomalous Behavior. In: An Introduction to Anomalous Diffusion and Relaxation. PoliTO Springer Series. Springer, Cham. https://doi.org/10.1007/978-3-031-18150-4_6

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