Wave-Like Statistics from Classical Active Particles with Internal Degrees Of Freedom

Rahil N. Valani

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arXiv · 2512.21049

Wave-Like Statistics from Classical Active Particles with Internal Degrees Of Freedom

Rahil N. Valani

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Abstract

Wave-like spatial statistics in walking-droplet systems are often associated with wave-mediated interactions and wave-memory effects. Here we explore how similar statistical structure can arise from the low-dimensional nonlinear dynamics of an inertial active particle with internal degrees of freedom. In this framework, steady propulsion corresponds to internal-state fixed points whose spiral or transiently chaotic relaxation organizes oscillatory ensemble densities. Local perturbations then generate wave-like statistics in both open and closed geometries, suggesting that wave-like ensemble behavior may emerge more generally from internal-state attractor dynamics in inertial active matter.

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Rahil N. Valani. 2025-12-24. Wave-Like Statistics from Classical Active Particles with Internal Degrees Of Freedom. https://arxiv.org/abs/2512.21049

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