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Bidimensional Deterministic Model for Diffusion and Settling of Particles

dc.contributor.authorVelázquez Pérez, Stephanie Esmeralda
dc.contributor.authorCampos Cantón, Eric
dc.contributor.authorHuerta Cuellar, Guillermo
dc.contributor.authorGilardi Velázquez, Héctor Eduardo
dc.date.accessioned2024-05-30T21:28:41Z
dc.date.available2024-05-30T21:28:41Z
dc.date.issued2023
dc.identifier.citationVelázquez Pérez, S.E.; Campos-Cantón, E.; Huerta Cuellar, G.; Gilardi Velázquez, H.E. Bidimensional Deterministic Model for Diffusion and Settling of Particles. Axioms 2023, 12, 191. https://doi.org/10.3390/axioms12020191
dc.identifier.urihttp://hdl.handle.net/11627/6582
dc.description.abstractIn this paper, we present a study of the diffusion properties of a deterministic model for settling particles in two displacement dimensions. The particularities of the novel deterministic model include the generation of Brownian motion and a two-dimensional displacement model without stochastic processes, which are governed by a set of six differential equations. This model is a piecewise system consisting of subsystems governed by jerk equations. With this model, we can consider different conditions of diffusion in both the dimensions and size of the space where the particles are dispersed. The settling time versus the dispersion medium and its size, as well as the average settling time and its probability distributions, are analyzed. Furthermore, the probability distributions for the settling location are presented for the changes in the diffusion parameters and space size. Finally, the basins of attraction for the settling positions are shown as a function of each dimensional diffusion parameter and for the medium size.
dc.publisherMDPI
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectSeterministic Brownian motion
dc.subjectDiffusion of particles
dc.subjectParticle settling
dc.subjectJerk function
dc.subject.classificationMATEMÁTICAS
dc.titleBidimensional Deterministic Model for Diffusion and Settling of Particles
dc.typearticle
dc.identifier.doihttps://doi.org/10.3390/axioms12020191
dc.rights.accessAcceso Abierto


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