Reentrant phase behavior in binary topological flocks with nonreciprocal alignment

Fuente: arXiv
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Main Authors: Tang, Tian, Duan, Yu, Ma, Yu-qiang
Format: Preprint
Published: 2024
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author Tang, Tian
Duan, Yu
Ma, Yu-qiang
author_facet Tang, Tian
Duan, Yu
Ma, Yu-qiang
contents We study a binary metric-free Vicsek model involving two species of self-propelled particles aligning with their Voronoi neighbors, focusing on a weakly nonreciprocal regime, where species $A$ aligns with both $A$ and $B$, but species $B$ does not align with either. Using agent-based simulations, we find that even with a small fraction of $B$ particles, the phase behavior of the system can be changed qualitatively, which becomes reentrant as a function of noise strength: traveling bands arise not only near the flocking transition, but also in the low-noise regime, separated in the phase diagram by a homogeneous polar liquid regime. We find that the ordered bands in the low-noise regime travel through an ordered background, in contrast to their metric counterparts. We develop a coarse-grained field theory, which can account for the reentrant phase behavior qualitatively, provided the higher-order angular modes are taken into consideration.
format Preprint
id arxiv_https___arxiv_org_abs_2412_11871
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Reentrant phase behavior in binary topological flocks with nonreciprocal alignment
Tang, Tian
Duan, Yu
Ma, Yu-qiang
Soft Condensed Matter
Statistical Mechanics
Biological Physics
We study a binary metric-free Vicsek model involving two species of self-propelled particles aligning with their Voronoi neighbors, focusing on a weakly nonreciprocal regime, where species $A$ aligns with both $A$ and $B$, but species $B$ does not align with either. Using agent-based simulations, we find that even with a small fraction of $B$ particles, the phase behavior of the system can be changed qualitatively, which becomes reentrant as a function of noise strength: traveling bands arise not only near the flocking transition, but also in the low-noise regime, separated in the phase diagram by a homogeneous polar liquid regime. We find that the ordered bands in the low-noise regime travel through an ordered background, in contrast to their metric counterparts. We develop a coarse-grained field theory, which can account for the reentrant phase behavior qualitatively, provided the higher-order angular modes are taken into consideration.
title Reentrant phase behavior in binary topological flocks with nonreciprocal alignment
topic Soft Condensed Matter
Statistical Mechanics
Biological Physics
url https://arxiv.org/abs/2412.11871