Controlled diffusion processes in an adiabatic model of a bouncing ball

2024/10/19 by Junior, Valdir Barbosa da Silva, Boscolo, Ana Laura, da Costa, Diogo Ricardo +1
#Chaotic Dynamics (nlin.CD) #FOS: Physical sciences

paper · doi:10.48550/arxiv.2410.15109

Abstract

This study explores the integration of a diffusion control parameter into the chaotic dynamics of a modified bouncing ball model. By extending beyond simple elastic collisions, the model introduces elements that affect the diffusive behavior of kinetic energy, offering insights into the interplay between deterministic chaos and stochastic diffusion. The research reinterprets the bouncing ball's interactions with the surface as short-distance collisions that mimic random thermal fluctuations of particles. This refined model reveals complex dynamics, highlighting the synergistic effects between chaos and diffusion in shaping the evolution of the system.

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