Physics > Physics Education
[Submitted on 12 Sep 2025
]
Title: Computational modeling of diffusive dynamics in a bouncer system with an irregular surface
Title: 具有不规则表面的弹跳系统中扩散动力学的计算建模
Abstract: The horizontal dynamics of a bouncing ball interacting with an irregular surface is investigated and is found to demonstrate behavior analogous to a random walk. Its stochastic character is substantiated by the calculation of a permutation entropy. The probability density function associated with the particle positions evolves to a Gaussian distribution, and the second moment follows a power-law dependence on time, indicative of diffusive behavior. The results emphasize that deterministic systems with complex geometries or nonlinearities can generate behavior that is statistically indistinguishable from random. Several problems are suggested to extend the analysis.
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