Analysis of particle settlement characteristics in a one-dimensional deterministic model

S. E. Velázquez-Pérez; Gilardi Velázquez, Héctor Eduardo; E. Campos-Cantón

doi:10.1142/S012918312550024X

Analysis of particle settlement characteristics in a one-dimensional deterministic model

Journal

International Journal of Modern Physics C

ISSN

0129-1831

1793-6586

Date Issued

2025

Author(s)

S. E. Velázquez-Pérez

Gilardi Velázquez, Héctor Eduardo

Facultad de Ingeniería - CampAGS

E. Campos-Cantón

Type

text::journal::journal article

DOI

10.1142/S012918312550024X

URL

https://scripta.up.edu.mx/handle/20.500.12552/11863

Abstract

In this paper, we investigate how particles settle in a one-dimensional deterministic model. We leverage a model for deterministic Brownian motion and introduce boundary conditions to simulate particle settling. By adjusting parameters in the Jerk equation, we explore how different diffusion, and the size of the settling space affect the particles’ behavior. We analyze how these parameters influence the settling time and its relationship to the dispersion medium. Additionally, we examine statistical properties as follows: the average settling time, the probability distributions for mean displacement, and how the probability distribution of settling times changes with the size of the space.