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Flocking phase transitions found in models of polar active matter are paradigmatic examples of active phase transitions in soft matter. An interesting specialization of flocking models concerns a ``topological'' vs ``metric'' choice by…

软凝聚态物质 · 物理学 2024-09-10 Charles R. Packard , Daniel M. Sussman

We show that even weak nonreciprocal alignment leads to large-scale structure formation in flocking mixtures. By combining numerical simulations of a binary Vicsek model and the analysis of coarse-grained continuum equations, we demonstrate…

统计力学 · 物理学 2026-02-16 Charlotte Myin , Benoît Mahault

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

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

In this paper, we propose a numerical investigation of topological interactions in flocking dynamics. Starting from a microscopic description of the phenomena, mesoscopic and macroscopic models have been previously derived under specific…

偏微分方程分析 · 数学 2025-12-30 Marta Menci , Thierry Paul , Stefano Rossi , Tommaso Tenna

Two hallmarks of non-equilibrium systems, from active colloids to animal herds, are agents motility and nonreciprocal interactions. Their interplay creates feedback loops leading to complex spatiotemporal dynamics crucial to understand and…

统计力学 · 物理学 2025-09-17 David Martin , Daniel Seara , Yael Avni , Michel Fruchart , Vincenzo Vitelli

Systems composed of strongly interacting self-propelled particles can form a spontaneously flowing polar active fluid. The study of the connection between the microscopic dynamics of a single such particle and the macroscopic dynamics of…

软凝聚态物质 · 物理学 2018-03-02 Benjamin Loewe , Anton Souslov , Paul M. Goldbart

The spontaneous emergence of collective motion patterns is usually associated with the presence of a velocity alignment mechanism that mediates the interactions among the moving individuals. Despite of this widespread view, it has been…

生物物理 · 物理学 2019-12-18 Fernando Peruani

We present a hydrodynamic model of flocking that generalizes the familiar Toner-Tu equations to incorporate turning inertia of well-polarized flocks. The continuum equations controlled by only two dimensionless parameters, orientational…

软凝聚态物质 · 物理学 2016-01-20 Xingbo Yang , M. Cristina Marchetti

Non-reciprocal interactions are prevalent in various complex systems leading to phenomena that cannot be described by traditional equilibrium statistical physics. Although non-reciprocally interacting systems composed of two populations…

软凝聚态物质 · 物理学 2025-12-15 Cheyne Weis , Ryo Hanai

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 introduce a Cucker-Smale-type model for flocking, where the strength of interaction between two agents depends on their relative separation (called "topological distance" in previous works), which is the number of intermediate…

动力系统 · 数学 2015-06-12 Jan Haskovec

Aligning self-propelled particles undergo a nonequilibrium flocking transition from apolar to polar phases as their interactions become stronger. We propose a thermodynamically consistent lattice model, in which the internal state of the…

We study a stochastic model of collective motion in which individuals update their orientation through pairwise aligning or anti-aligning copying interactions. We analyze both annealed dynamics, where interaction types are chosen…

统计力学 · 物理学 2026-04-23 Chunming Zheng

Nonreciprocal interactions-- where forces between entities are asymmetric-- govern a wide range of nonequilibrium phenomena, yet their role in structural transitions in living and active systems remains elusive. Here, we demonstrate a…

We study clustering and percolation phenomena in the Vicsek model, taken here in its capacity of prototypical model for dry aligning active matter. Our results show that the order-disorder transition is not related in any way to a…

软凝聚态物质 · 物理学 2019-09-04 Nikos Kyriakopoulos , Hugues Chaté , Francesco Ginelli

We propose a comprehensive dynamical model for cooperative motion of self-propelled particles, e.g., flocking, by combining well-known elements such as velocity-alignment interactions, spatial interactions, and angular noise into a unified…

统计力学 · 物理学 2009-05-20 V. Dossetti , F. J. Sevilla , V. M. Kenkre

Flocking is a fascinating phenomenon observed across a wide range of living organisms. We investigate, based on a simple self-propelled particle model, how the emergence of ordered motion in a collectively moving group is influenced by the…

生物物理 · 物理学 2024-06-04 Vijay Kumar , Rumi De

Confining in space the equilibrium fluctuations of statistical systems with long-range correlations is known to result into effective forces on the boundaries. Here we demonstrate the occurrence of Casimir-like forces in the non-equilibrium…

软凝聚态物质 · 物理学 2024-03-04 Giuseppe Fava , Andrea Gambassi , Francesco Ginelli

Coherent collective motion is a widely observed phenomenon in active matter systems. Here, we report a flocking transition mechanism in a system of chemically interacting active colloidal particles sustained purely by chemo-repulsive…

软凝聚态物质 · 物理学 2025-11-04 Arvin Gopal Subramaniam , Sagarika Adhikary , Rajesh Singh
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