Emergent Macroscopic Nonreciprocity from Identical Active Particles via Spontaneous Symmetry Breaking

Fuente: arXiv
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Autores principales: Guo, Wei-Chen, Wang, Zuo, Wu, Pei-Fang, Lang, Li-Jun, Ai, Bao-Quan, He, Liang
Formato: Preprint
Publicado: 2026
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author Guo, Wei-Chen
Wang, Zuo
Wu, Pei-Fang
Lang, Li-Jun
Ai, Bao-Quan
He, Liang
author_facet Guo, Wei-Chen
Wang, Zuo
Wu, Pei-Fang
Lang, Li-Jun
Ai, Bao-Quan
He, Liang
contents Nonreciprocity is known to generate a wide range of exotic phenomena in multi-species many-body systems, where different species influence one another through couplings that violate Newton's third law. In contrast, in the absence of explicitly imposed macroscopic nonreciprocal processes, single-species nonreciprocity -- another distinct form of nonreciprocity -- typically plays only a limited role in shaping macroscopic physics. Here, using a single-species Vicsek model with a vision cone and extrinsic noise, we show that spontaneous symmetry breaking (SSB) can dramatically enhance the macroscopic consequences of microscopic single-species nonreciprocity. In the ordered phase, this enhancement gives rise to an emergent macroscopic nonreciprocity that induces the system of identical active particles to admit an effective description with a "two-species" non-Hermitian structure. The resulting SSB-enhanced nonreciprocity substantially promotes traveling-band formation and, more strikingly, drives a novel real-space condensation of identical active particles, characterized by a "traveling line" with vanishing longitudinal width. Our findings uncover a fundamental mechanism by which microscopic single-species nonreciprocity can exert strong macroscopic influences in complex systems.
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institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Emergent Macroscopic Nonreciprocity from Identical Active Particles via Spontaneous Symmetry Breaking
Guo, Wei-Chen
Wang, Zuo
Wu, Pei-Fang
Lang, Li-Jun
Ai, Bao-Quan
He, Liang
Statistical Mechanics
Soft Condensed Matter
Nonreciprocity is known to generate a wide range of exotic phenomena in multi-species many-body systems, where different species influence one another through couplings that violate Newton's third law. In contrast, in the absence of explicitly imposed macroscopic nonreciprocal processes, single-species nonreciprocity -- another distinct form of nonreciprocity -- typically plays only a limited role in shaping macroscopic physics. Here, using a single-species Vicsek model with a vision cone and extrinsic noise, we show that spontaneous symmetry breaking (SSB) can dramatically enhance the macroscopic consequences of microscopic single-species nonreciprocity. In the ordered phase, this enhancement gives rise to an emergent macroscopic nonreciprocity that induces the system of identical active particles to admit an effective description with a "two-species" non-Hermitian structure. The resulting SSB-enhanced nonreciprocity substantially promotes traveling-band formation and, more strikingly, drives a novel real-space condensation of identical active particles, characterized by a "traveling line" with vanishing longitudinal width. Our findings uncover a fundamental mechanism by which microscopic single-species nonreciprocity can exert strong macroscopic influences in complex systems.
title Emergent Macroscopic Nonreciprocity from Identical Active Particles via Spontaneous Symmetry Breaking
topic Statistical Mechanics
Soft Condensed Matter
url https://arxiv.org/abs/2604.00552