Circling crystals in chiral active matter with self-alignment

Fuente: arXiv
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Main Authors: Musacchio, Marco, Antonov, Alexander P., Löwen, Hartmut, Caprini, Lorenzo
Format: Preprint
Published: 2025
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author Musacchio, Marco
Antonov, Alexander P.
Löwen, Hartmut
Caprini, Lorenzo
author_facet Musacchio, Marco
Antonov, Alexander P.
Löwen, Hartmut
Caprini, Lorenzo
contents We study a crystal composed of active units governed by self-alignment and chirality. The first mechanism acts as an effective torque that aligns the particle orientation with its velocity, while the second drives individual particles along circular orbits. We find that even a weak degree of chirality, when coupled with self-alignment, induces collective motion of the entire crystal along circular trajectories in space. We refer to this phase as a circling crystal. When chirality outweigh self-alignment, the circular global motion is suppressed in favor of vortex-like regions of coordinated motion. This state is characterized by oscillating spatial velocity correlations, a power law decay of the energy spectrum, and oscillatory temporal correlations. Our findings can be tested experimentally in systems ranging from epithelial tissues to swarming robots, governed by chirality and self-alignment.
format Preprint
id arxiv_https___arxiv_org_abs_2511_09761
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Circling crystals in chiral active matter with self-alignment
Musacchio, Marco
Antonov, Alexander P.
Löwen, Hartmut
Caprini, Lorenzo
Soft Condensed Matter
Statistical Mechanics
We study a crystal composed of active units governed by self-alignment and chirality. The first mechanism acts as an effective torque that aligns the particle orientation with its velocity, while the second drives individual particles along circular orbits. We find that even a weak degree of chirality, when coupled with self-alignment, induces collective motion of the entire crystal along circular trajectories in space. We refer to this phase as a circling crystal. When chirality outweigh self-alignment, the circular global motion is suppressed in favor of vortex-like regions of coordinated motion. This state is characterized by oscillating spatial velocity correlations, a power law decay of the energy spectrum, and oscillatory temporal correlations. Our findings can be tested experimentally in systems ranging from epithelial tissues to swarming robots, governed by chirality and self-alignment.
title Circling crystals in chiral active matter with self-alignment
topic Soft Condensed Matter
Statistical Mechanics
url https://arxiv.org/abs/2511.09761