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Main Authors: Sharma, Shubham, Kumar, Deepak
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2412.18159
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author Sharma, Shubham
Kumar, Deepak
author_facet Sharma, Shubham
Kumar, Deepak
contents Vibrated granular matter constitutes a useful system for studying the physics of active matter. Usually, self-propulsion is induced in grains through suitable asymmetry in the particle design. In this paper, we show that a symmetrical mini wheel placed on a vibrating plate self-propels along circular trajectories, showing chiral active dynamics. The chiral activity emerges through a sequence of spontaneous symmetry breaking in the particle's kinetics. The fact that isotropy, fore-aft, and chiral symmetries are broken spontaneously leads to distinct statistics, which include a temporal evolution involving stochastic resetting, a non-Gaussian velocity distribution with multiple peaks, broad power-law curvature distribution, and a bounded chirality probability, along with a phase transition from passive achiral to active chiral state as a function of vibration amplitude. Our study establishes the vibrated wheel as a three-state chiral active system that can serve as a model experimental system to study the non-equilibrium statistical mechanics and stochastic thermodynamics of chiral active systems and can inspire novel locomotion strategies in robotics.
format Preprint
id arxiv_https___arxiv_org_abs_2412_18159
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Statistical mechanics of an active wheel rolling in circles
Sharma, Shubham
Kumar, Deepak
Soft Condensed Matter
Materials Science
Statistical Mechanics
Applied Physics
Vibrated granular matter constitutes a useful system for studying the physics of active matter. Usually, self-propulsion is induced in grains through suitable asymmetry in the particle design. In this paper, we show that a symmetrical mini wheel placed on a vibrating plate self-propels along circular trajectories, showing chiral active dynamics. The chiral activity emerges through a sequence of spontaneous symmetry breaking in the particle's kinetics. The fact that isotropy, fore-aft, and chiral symmetries are broken spontaneously leads to distinct statistics, which include a temporal evolution involving stochastic resetting, a non-Gaussian velocity distribution with multiple peaks, broad power-law curvature distribution, and a bounded chirality probability, along with a phase transition from passive achiral to active chiral state as a function of vibration amplitude. Our study establishes the vibrated wheel as a three-state chiral active system that can serve as a model experimental system to study the non-equilibrium statistical mechanics and stochastic thermodynamics of chiral active systems and can inspire novel locomotion strategies in robotics.
title Statistical mechanics of an active wheel rolling in circles
topic Soft Condensed Matter
Materials Science
Statistical Mechanics
Applied Physics
url https://arxiv.org/abs/2412.18159