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We present a derivation of a recently proposed theory for the time dependence of density fluctuations in stationary states of strongly interacting, athermal, self-propelled particles. The derivation consists of two steps. First, we start…

Soft Condensed Matter · Physics 2016-01-13 Grzegorz Szamel

We study analytically the emergence of spontaneous collective motion within large bidimensional groups of self-propelled particles with noisy local interactions, a schematic model for assemblies of biological organisms. As a central result,…

Statistical Mechanics · Physics 2009-11-11 Eric Bertin , Michel Droz , Guillaume Gregoire

Collective motion is a phenomenon observed across length scales in nature, from bacterial swarming and tissue migration to the flocking of animals. The mechanisms underlying this behavior vary significantly depending on the biological…

Soft Condensed Matter · Physics 2025-01-15 Urvi Mahendra Bora , Mohd Suhail Rizvi

Motivated by recent experimental findings in chemical synthesis of colloidal particles, we draw an analogy between self-assembly processes occurring in biological systems (e.g. protein folding) and a new exciting possibility in the field of…

Soft Condensed Matter · Physics 2018-02-14 Achille Giacometti

We study the emerging collective states in a simple mechanical model of a dense group of self-propelled polar disks with off-centered rotation, confined within a circular arena. Each disk presents self-alignment towards the sum of contact…

Soft Condensed Matter · Physics 2026-04-15 Weizhen Tang , Yating Zheng , Amir Shee , Guozheng Lin , Zhangang Han , Pawel Romanczuk , Cristián Huepe

The collective behavior of active agents, whether herds of wildebeest or microscopic actin filaments propelled by molecular motors, is an exciting frontier in biological and soft matter physics. Almost three decades ago, Toner and Tu…

Soft Condensed Matter · Physics 2023-08-25 Christina L. Hueschen , Alexander R. Dunn , Rob Phillips

We present a comprehensive computational study of the collective behavior emerging from the competition between self-propulsion, excluded volume interactions and velocity-alignment in a two-dimensionnal model of active particles. We…

Soft Condensed Matter · Physics 2018-01-08 Aitor Martín-Gómez , Demian Levis , Albert Díaz-Guilera , Ignacio Pagonabarraga

Populations can become spatially organised through chemotaxis autoattraction, wherein population members release their own chemoattractant. Standard models of this process usually assume phenotypic homogeneity, but recent studies have shed…

Populations and Evolution · Quantitative Biology 2025-06-05 Tommaso Lorenzi , Kevin J. Painter

We introduce a kinetic Monte-Carlo model for self-propelled hard disks to capture with minimal ingredients the interplay between thermal fluctuations, excluded volume and self-propulsion in large assemblies of active particles. We analyze…

Soft Condensed Matter · Physics 2014-07-16 Demian Levis , Ludovic Berthier

By means of multicanonical computer simulations, we investigate thermodynamic properties of the aggregation of interacting semiflexible polymers. We analyze a mesoscopic bead-stick model, where nonbonded monomers interact via Lennard-Jones…

Soft Condensed Matter · Physics 2015-05-28 Christoph Junghans , Michael Bachmann , Wolfhard Janke

We theoretically study the conformational and dynamical properties of semiflexible active polar ring polymers under linear shear flow. A ring is described as a continuous Gaussian polymer with a tangential active force of a constant density…

Soft Condensed Matter · Physics 2024-07-04 Roland G. Winkler , Sunil P. Singh

We investigate the collective behavior of motile rods immersed in a monolayer of apolar rods confined between vertically vibrating plates using numerical simulations. We uncover an antidiffusive instability whereby motile rods segregate…

Soft Condensed Matter · Physics 2026-03-12 Abhishek Sharma , Harsh Soni

The onset of polar flocking in active matter is discontinuous, akin to gas-liquid phase transitions, except that the steady state exhibits microphase separation into polar clusters. While these features have been observed in theoretical…

Soft Condensed Matter · Physics 2021-03-31 Lorenz Huber , Timo Krüger , Erwin Frey

In micro-swimmer suspensions locomotion necessarily generates fluid motion, and it is known that such flows can lead to collective behavior from unbiased swimming. We examine the complementary problem of how chemotaxis is affected by…

Biological Physics · Physics 2012-10-23 Enkeleida Lushi , Raymond E. Goldstein , Michael J. Shelley

We study the active 4-state Potts model (APM) on the square lattice in which active particles have four internal states corresponding to the four directions of motion. A local alignment rule inspired by the ferromagnetic 4-state Potts model…

Statistical Mechanics · Physics 2020-07-31 Swarnajit Chatterjee , Matthieu Mangeat , Raja Paul , Heiko Rieger

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…

Statistical Mechanics · Physics 2025-09-17 David Martin , Daniel Seara , Yael Avni , Michel Fruchart , Vincenzo Vitelli

Collective behavior is all around us, from flocks of birds to schools of fish. These systems are immensely complex, which makes it pertinent to study their behavior through minimal models. We introduce such a minimal model for cohesive and…

Soft Condensed Matter · Physics 2025-01-29 Jeanine Shea , Holger Stark

Many living and artificial systems show a similar emergent behavior and collective motions on different scales, starting from swarms of bacteria to synthetic active particles, herds of mammals and crowds of people. What all these systems…

Soft Condensed Matter · Physics 2024-01-01 Bohdan Senyuk , Jin-Sheng Wua , Ivan I. Smalyukh

In this article, we investigate the impact of self-alignment and anti-self-alignment on collective phenomena in dense active matter. These mechanisms correspond to effective torques that align or anti-align a particles orientation with its…

Soft Condensed Matter · Physics 2025-04-08 Marco Musacchio , Alexander P. Antonov , Hartmut Löwen , Lorenzo Caprini

Differentially rotating stars and planets transport angular momentum internally due to turbulence at rates that have long been a challenge to predict reliably. We develop a self-consistent saturation theory, using a statistical closure…

Solar and Stellar Astrophysics · Physics 2024-03-13 B. Tripathi , A. J. Barker , A. E. Fraser , P. W. Terry , E. G. Zweibel