Anomalous Diffusion and Non-Markovian Reaction of Particles near an Adsorbing Colloidal Particle

We investigate the diffusion phenomenon of particles in the vicinity of a spherical colloidal particle where particles may be adsorbed/desorbed and react on the surface of the colloidal particle. The mathematical model comprises a generalized diffusion equation to govern bulk dynamics and kinetic eq...

Full description

Saved in:
Bibliographic Details
Published inFluids (Basel) Vol. 9; no. 10; p. 221
Main Authors Gryczak, Derik W., Lenzi, Ervin K., Rosseto, Michely P., Evangelista, Luiz R., da Silva, Luciano R., Lenzi, Marcelo K., Zola, Rafael S.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.10.2024
Subjects
Adsorption
anomalous diffusion
Boundary conditions
colloidal particle
Colloiding
fractional dynamics
Integral transforms
Kinetic equations
sorption–desorption
Species diffusion
spherical symmetry
Brazil
Germany
Online AccessGet full text

Cover

More Information
Summary:We investigate the diffusion phenomenon of particles in the vicinity of a spherical colloidal particle where particles may be adsorbed/desorbed and react on the surface of the colloidal particle. The mathematical model comprises a generalized diffusion equation to govern bulk dynamics and kinetic equations which can describe non-Debye relaxations and is used for the colloid’s surface. For the reaction processes, we also consider the presence of convolution kernels, which offer the flexibility of describing a single process or process with intermediate reactions before forming the final species. Our analysis focuses on analytical and numerical calculations to obtain the particles’ behavior on the colloidal particle’s surface and to determine how it affects the diffusion of particles around it. The solutions obtained show various behaviors that can be connected to anomalous diffusion phenomena and may be used to describe the ever-richer science of colloidal particles better.
ISSN:2311-5521
2311-5521
DOI:10.3390/fluids9100221