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

Fuente: arXiv
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Autor principal: Valani, Rahil N.
Formato: Preprint
Publicado: 2025
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author Valani, Rahil N.
author_facet Valani, Rahil N.
contents Wave-like spatial statistics in walking-droplet quantum analogs are typically attributed to spatial or temporal nonlocal wave effects. We show instead that such behavior arises generically from the low-dimensional nonlinear dynamics of an inertial active particle with internal degrees of freedom. Steady propulsion corresponds to internal fixed points whose spiral or chaotic relaxation organizes oscillatory ensemble densities. Local perturbations then produce Friedel-like patterns in open geometries and wave-like structure in confined geometries, extending hydrodynamic quantum analogs to inertial active matter more broadly.
format Preprint
id arxiv_https___arxiv_org_abs_2512_21049
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Wave-Like Statistics from Classical Active Particles with Internal Degrees Of Freedom
Valani, Rahil N.
Soft Condensed Matter
Fluid Dynamics
Wave-like spatial statistics in walking-droplet quantum analogs are typically attributed to spatial or temporal nonlocal wave effects. We show instead that such behavior arises generically from the low-dimensional nonlinear dynamics of an inertial active particle with internal degrees of freedom. Steady propulsion corresponds to internal fixed points whose spiral or chaotic relaxation organizes oscillatory ensemble densities. Local perturbations then produce Friedel-like patterns in open geometries and wave-like structure in confined geometries, extending hydrodynamic quantum analogs to inertial active matter more broadly.
title Wave-Like Statistics from Classical Active Particles with Internal Degrees Of Freedom
topic Soft Condensed Matter
Fluid Dynamics
url https://arxiv.org/abs/2512.21049