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Flocking is ubiquitous in nature and emerges due to short- or long-range alignment interactions among self-propelled agents. Two unfriendly species that antialign or even interact nonreciprocally show more complex collective phenomena,…

统计力学 · 物理学 2025-12-17 Jiwon Choi , Jae Dong Noh , Heiko Rieger

Heterogeneity is ubiquitous in biological and synthetic active matter systems that are inherently out of equilibrium. Typically, such active mixtures involve not only conservative interactions between the constituents, but also…

软凝聚态物质 · 物理学 2024-12-20 Kim L. Kreienkamp , Sabine H. L. Klapp

A hallmark in natural systems, self-organization often stems from very simple interaction rules between individual agents. While single-species self-propelled particle (SPP) systems are well understood, the behavior of binary mixtures with…

软凝聚态物质 · 物理学 2026-03-05 Eloise Lardet , Letian Chen , Thibault Bertrand

We examine a non-reciprocally coupled dynamical model of a mixture of two diffusing species. We demonstrate that nonreciprocity, which is encoded in the model via antagonistic cross diffusivities, provides a generic mechanism for the…

软凝聚态物质 · 物理学 2020-08-21 Zhihong You , Aparna Baskaran , M. Cristina Marchetti

We study a two-species Vicsek model with intra-species alignment and asymmetric inter-species couplings, where one species aligns with the other while the latter anti-aligns. Motivated by recent results showing that globally coherent chiral…

统计力学 · 物理学 2026-04-21 Aditya Kumar Dutta , Swarnajit Chatterjee , Matthieu Mangeat , Raja Paul

Non-reciprocal systems exhibit diverse dynamical phases whose character depends on the type and degree of non-reciprocity. In this study, we theoretically investigate dynamical structures in a mixture of non-reciprocally aligning polar…

软凝聚态物质 · 物理学 2024-12-20 Kim L. Kreienkamp , Sabine H. L. Klapp

Non-reciprocal interactions in active matter gives rise to a multitude of fascinating phenomena among which are collective oscillatory states without intrinsic particle chirality and active turbulence. Here we show that in a paradigmatic…

统计力学 · 物理学 2026-04-09 Chul-Ung Woo , Jae Dong Noh , Heiko Rieger

We generalize the Vicsek model to describe the collective behaviour of polar circle swimmers with local alignment interactions. While the phase transition leading to collective motion in 2D (flocking) occurs at the same interaction to noise…

统计力学 · 物理学 2017-08-09 Benno Liebchen , Demian Levis

Many models of flocking involve alignment rules based on the mean orientation of neighboring particles, which we show introduces microscopic non-reciprocal interactions. In the absence of this microscopic non-reciprocity an exceptional…

软凝聚态物质 · 物理学 2023-09-19 Charles Packard , Daniel M. Sussman

Natural flocks need to cope with various forms of heterogeneities, for instance, their composition, motility, interaction, or environmental factors. Here, we study the effects of such heterogeneities on the flocking dynamics of the…

统计力学 · 物理学 2025-12-15 Aditya Kumar Dutta , Matthieu Mangeat , Heiko Rieger , Raja Paul , Swarnajit Chatterjee

We show that chiral order in two-dimensional nonreciprocal flocking mixtures is generically unstable. Combining large-scale agent-based simulations with a coarse-grained continuum description, we demonstrate that rotating chiral states…

软凝聚态物质 · 物理学 2026-05-08 Charlotte Myin , Suropriya Saha , Benoît Mahault

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 $B$…

软凝聚态物质 · 物理学 2025-04-04 Tian Tang , Yu Duan , Yu-qiang Ma

We show that fore-aft asymmetry, a generic feature of living organisms and some active matter systems, can have a strong influence on the collective properties of even the simplest flocking models. Specifically, an arbitrarily weak…

软凝聚态物质 · 物理学 2017-11-06 Qiu-shi Chen , Aurelio Patelli , Hugues Chaté , Yu-qiang Ma , Xia-qing Shi

Collective behavior in biological systems was first captured by the Vicsek model, in which particles align their velocities in the average direction of neighbors, leading to coherent motion and showing an order-disorder transition. However,…

软凝聚态物质 · 物理学 2026-02-26 Mohit Gaur , Arnab Saha , Subhajit Paul

We investigate collective behavior in a $Q$-species Vicsek model with a nonreciprocal velocity alignment interaction. This system is characterized by a constant phase shift $\alpha$ in the inter-species velocity alignment rule. While the…

统计力学 · 物理学 2025-12-23 Chul-Ung Woo , Heiko Rieger , Jae Dong Noh

Animals having a trend to align their velocities to an average of their neighbors' may flock as illustrated by the Vicsek model and its variants. If, in addition, they feel a systematic contrarian trend, the result may be a time periodic…

统计力学 · 物理学 2019-02-06 L L Bonilla , C. Trenado

Recently, non-reciprocal systems have become a focus of growing interest. Examples occur in soft and active matter, but also in engineered quantum materials and neural (brain) networks. Here, we investigate the impact of non-reciprocity on…

软凝聚态物质 · 物理学 2023-01-10 Kim L. Kreienkamp , Sabine H. L. Klapp

Flocking is a prime example of how robust collective behavior can emerge from simple interaction rules. The flocking transition has been studied extensively since the inception of the original Vicsek model. Here, we introduce a novel…

软凝聚态物质 · 物理学 2024-09-18 Eloise Lardet , Raphaël Voituriez , Silvia Grigolon , Thibault Bertrand

The collective chasing dynamics of non-reciprocally coupled densities leads to stable travelling waves which can be mapped to a model for emergent flocking. In this work, we couple the non-reciprocal Cahn-Hilliard model (NRCH) to a fluid to…

软凝聚态物质 · 物理学 2025-10-08 Giulia Pisegna , Navdeep Rana , Ramin Golestanian , Suropriya Saha

We consider the two-species Vicsek model (TSVM) consisting of two kinds of self-propelled particles, A and B, that tend to align with particles from the same species and to antialign with the other. The model shows a flocking transition…

统计力学 · 物理学 2025-05-02 Swarnajit Chatterjee , Matthieu Mangeat , Chul-Ung Woo , Heiko Rieger , Jae Dong Noh
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