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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…

Soft Condensed Matter · Physics 2023-01-10 Kim L. Kreienkamp , Sabine H. L. Klapp

Motility and nonreciprocity are two primary mechanisms for self-organization in active matter. In a recent study [Phys. Rev. Lett. 131, 148301 (2023)], we explored their joint influence in a minimal model of two-species quorum-sensing…

Soft Condensed Matter · Physics 2025-04-15 Yu Duan , Jaime Agudo-Canalejo , Ramin Golestanian , Benoît Mahault

We study the behaviour of catalytically active droplets in multi-component conserved mixtures affected by noise. Working in the thin interface limit, we analytically determine the state diagram of the system, characterized by multiple…

Soft Condensed Matter · Physics 2025-12-01 Jacopo Romano , Martin Kjøllesdal Johnsrud , Benoît Mahault , Ramin Golestanian

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…

Statistical Mechanics · Physics 2026-02-16 Charlotte Myin , Benoît Mahault

We study numerically and analytically a model of self-propelled polar disks on a substrate in two dimensions. The particles interact via isotropic repulsive forces and are subject to rotational noise, but there is no aligning interaction.…

Soft Condensed Matter · Physics 2014-02-24 Yaouen Fily , M. Cristina Marchetti

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…

Soft Condensed Matter · Physics 2025-10-08 Giulia Pisegna , Navdeep Rana , Ramin Golestanian , Suropriya Saha

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…

Soft Condensed Matter · Physics 2024-12-20 Kim L. Kreienkamp , Sabine H. L. Klapp

Non-reciprocal systems have been shown to sustain time-dependent patterns, most prominently travelling waves. The transition into these time-dependent states generally breaks time-translational invariance, representing a clear deviation…

Statistical Mechanics · Physics 2026-05-13 Emir Sezik , Gunnar Pruessner

This article reviews recent research on the collective dynamical behavior of colloids with dipolar or multipolar interactions. Indeed, whereas equilibrium structures and static self-assembly of such systems are now rather well understood,…

Soft Condensed Matter · Physics 2016-02-02 Sabine H. L. Klapp

We study the spatio-temporal dynamics of a model of polar active fluid in two dimensions. The system exhibits a transition from an isotropic to a polarized state as a function of density. The uniform polarized state is, however, unstable…

Soft Condensed Matter · Physics 2011-12-08 Luca Giomi , M. Cristina Marchetti

There are rich emergent phase behaviors in non-equilibrium active systems. Flocking and clustering are two representative dynamic phases. The relationship between these two phases is still unclear. In the paper, we numerically investigate…

Soft Condensed Matter · Physics 2023-08-09 Lu Chen , Bokai Zhang , Z. C. Tu

Active-particle suspensions exhibit distinct polarization-density patterns in activity landscapes, even without anisotropic particle interactions. Such polarization without alignment forces is at work in motility-induced phase separation…

Soft Condensed Matter · Physics 2021-06-09 Nicola Andreas Söker , Sven Auschra , Viktor Holubec , Klaus Kroy , Frank Cichos

Meso-scale turbulence was originally observed experimentally in various suspensions of swimming bacteria, as well as in the collective motion of active colloids. The corresponding large-scale dynamical patterns were reproduced in a simple…

Soft Condensed Matter · Physics 2021-03-30 Vasco M. Worlitzer , Gil Ariel , Avraham Be'er , Holger Stark , Markus Bär , Sebastian Heidenreich

We study, numerically, the collective dynamics of self-rotating nonaligning particles by considering a monolayer of spheres driven by constant clockwise or counterclockwise torques. We show that hydrodynamic interactions alter the emergence…

Soft Condensed Matter · Physics 2016-03-24 Kyongmin Yeo , Enkeleida Lushi , Petia M. Vlahovska

Despite their fundamentally non-equilibrium nature, the individual and collective behavior of active systems with polar propulsion and isotropic interactions (polar-isotropic active systems) are remarkably well captured by equilibrium…

Soft Condensed Matter · Physics 2016-12-28 Yaouen Fily , Aparna Baskaran , Michael F. Hagan

Because of consuming energy to drive their motion, systems of active colloids are intrinsically out of equilibrium. In the past decade, a variety of intriguing dynamic patterns have been observed in systems of active colloids, and they…

Soft Condensed Matter · Physics 2020-04-16 Zhan Ma , Mingcheng Yang , Ran Ni

Nonreciprocal coupling can alter the transport properties of material media, producing striking phenomena such as unidirectional amplification of waves, boundary modes, or self-assembled pattern formation. It is responsible for nonlinear…

Pattern Formation and Solitons · Physics 2026-04-14 David Pinto-Ramos , Karin Alfaro-Bittner , René G. Rojas , Marcel G. Clerc

We study the role of hydrodynamic interactions in the collective behaviour of collections of microscopic active particles suspended in a fluid. We introduce a novel calculational framework that allows us to separate the different…

Soft Condensed Matter · Physics 2017-09-06 Natsuhiko Yoshinaga , Tanniemola B. Liverpool

We present a numerical study of the phase behavior of repulsively interacting active polar particles that align their active velocities nematically. The amplitude of the active velocity, and the noise in its orientational alignment control…

Soft Condensed Matter · Physics 2019-11-01 Biplab Bhattacherjee , Debasish Chaudhuri

Many active matter systems consist of different particle types that interact via nonreciprocal couplings. Such nonreciprocal couplings can lead to the spontaneous emergence of time-dependent states that break parity-time symmetry. On the…

Soft Condensed Matter · Physics 2025-07-29 Kim L. Kreienkamp , Sabine H. L. Klapp
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