A Comparative Study of Brownian Dynamics Based on the Jerk Equation Against a Stochastic Process Under an External Force Field

A Comparative Study of Brownian Dynamics Based on the Jerk Equation Against a Stochastic Process Under an External Force Field

Brownian motion has been studied since 1827, leading to numerous important advances in many branches of science and to it being studied primarily as a stochastic dynamical system. In this paper, we present a deterministic model for the Brownian motion for a particle in a constant force field based o...

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Bibliographic Details
Main Authors: Adriana Ruiz-Silva, Bahia Betzavet Cassal-Quiroga, Rodolfo de Jesus Escalante-Gonzalez, José A. Del-Puerto-Flores, Hector Eduardo Gilardi-Velazquez, Eric Campos
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Mathematics
Subjects:
deterministic Brownian motion
harmonic oscillator
DFA analysis
jerk system
Online Access:https://www.mdpi.com/2227-7390/13/5/804
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