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Main Authors: Mangeat, Matthieu, Chatterjee, Swarnajit, Noh, Jae Dong, Rieger, Heiko
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2412.02501
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author Mangeat, Matthieu
Chatterjee, Swarnajit
Noh, Jae Dong
Rieger, Heiko
author_facet Mangeat, Matthieu
Chatterjee, Swarnajit
Noh, Jae Dong
Rieger, Heiko
contents There is growing interest in multi-species active matter systems with reciprocal and non-reciprocal interactions. While such interactions have been explored in continuous symmetry models, less is known about multi-species discrete-symmetry systems. To address this, we study the two-species active Ising model (TSAIM), a discrete counterpart of the two-species Vicsek model. Our investigation explores both inter-species reciprocal and non-reciprocal interactions, along with the possibility of species interconversion. In the reciprocal TSAIM, we observe the emergence of a high-density parallel flocking state, a feature not seen in previous flocking models. With species interconversion, the TSAIM corresponds to an active extension of the Ashkin-Teller model and exhibits rich state diagrams. In the non-reciprocal TSAIM, a run-and-chase dynamics emerge. We also find that the system is metastable due to droplet excitation and exhibits spontaneous motility-induced interface pinning. A hydrodynamic theory validates our numerical simulations and confirms the phase diagrams.
format Preprint
id arxiv_https___arxiv_org_abs_2412_02501
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Emergent complex phases in a discrete flocking model with reciprocal and non-reciprocal interactions
Mangeat, Matthieu
Chatterjee, Swarnajit
Noh, Jae Dong
Rieger, Heiko
Statistical Mechanics
There is growing interest in multi-species active matter systems with reciprocal and non-reciprocal interactions. While such interactions have been explored in continuous symmetry models, less is known about multi-species discrete-symmetry systems. To address this, we study the two-species active Ising model (TSAIM), a discrete counterpart of the two-species Vicsek model. Our investigation explores both inter-species reciprocal and non-reciprocal interactions, along with the possibility of species interconversion. In the reciprocal TSAIM, we observe the emergence of a high-density parallel flocking state, a feature not seen in previous flocking models. With species interconversion, the TSAIM corresponds to an active extension of the Ashkin-Teller model and exhibits rich state diagrams. In the non-reciprocal TSAIM, a run-and-chase dynamics emerge. We also find that the system is metastable due to droplet excitation and exhibits spontaneous motility-induced interface pinning. A hydrodynamic theory validates our numerical simulations and confirms the phase diagrams.
title Emergent complex phases in a discrete flocking model with reciprocal and non-reciprocal interactions
topic Statistical Mechanics
url https://arxiv.org/abs/2412.02501