Controlled diffusion processes in an adiabatic model of a bouncing ball
Fuente:
arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909356578045952 |
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| author | Junior, Valdir Barbosa da Silva Boscolo, Ana Laura da Costa, Diogo Ricardo Barreiro, Luiz Antonio |
| author_facet | Junior, Valdir Barbosa da Silva Boscolo, Ana Laura da Costa, Diogo Ricardo Barreiro, Luiz Antonio |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15109 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Controlled diffusion processes in an adiabatic model of a bouncing ball Junior, Valdir Barbosa da Silva Boscolo, Ana Laura da Costa, Diogo Ricardo Barreiro, Luiz Antonio Chaotic Dynamics 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. |
| title | Controlled diffusion processes in an adiabatic model of a bouncing ball |
| topic | Chaotic Dynamics |
| url | https://arxiv.org/abs/2410.15109 |