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Recent studies have shown a number of surprising vortex dynamics phenomena both in low and high temperature superconductors, which include: low frequency noise, slow voltage oscillations, history dependent dynamic response, memory of the…

In active matter systems, self-propelled particles can self-organize to undergo collective motion, leading to persistent dynamical behavior out of equilibrium. In cells, cytoskeletal filaments and motor proteins self-organize into complex…

Soft Condensed Matter · Physics 2020-05-19 Jeffrey M. Moore , Tyler N. Thompson , Matthew A. Glaser , Meredith D. Betterton

We investigate the dynamics of a deterministic self-propelled particle endowed with coherent memory. We evidence experimentally and numerically that it exhibits several stable free states. The system is composed of a self-propelled drop…

Soft Condensed Matter · Physics 2019-03-27 Vincent Bacot , Stéphane Perrard , Matthieu Labousse , Yves Couder , Emmanuel Fort

We analytically investigate the diffusive motion inferred from experimental observations of active particles driven by quantum vortices on the surface of superfluid helium. We first study the dynamical behavior of an active particle subject…

Statistical Mechanics · Physics 2026-04-21 Yun Jeong Kang , Sung Kyu Seo , Kyungsik Kim

The phase diagram of self-propelled hard disk systems with Vicsek-type alignment interactions was investigated by event-driven molecular dynamics simulations. The model incorporates two competing order parameters: the polar order-disorder…

Soft Condensed Matter · Physics 2026-03-19 Nobuaki Murase , Masaharu Isobe

Active systems across scales, ranging from molecular machines to human crowds, are usually modeled as assemblies of self-propelled particles driven by internally generated forces. However, these models often assume memoryless dynamics and…

Statistical Mechanics · Physics 2025-12-10 Marc Besse , Raphaël Voituriez

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

We consider an Individual-Based Model for self-rotating particles interacting through local alignment and investigate its macroscopic limit. This model describes self-propelled particles moving in the plane and trying to synchronize their…

Mathematical Physics · Physics 2013-06-17 Pierre Degond , Giacomo Dimarco , Thi Bich Ngoc Mac

Via molecular dynamics simulations we have studied kinetics of vapor-"solid" phase transition in an active matter model in which self-propulsion is introduced via the well-known Vicsek rule. The overall density of the particles is chosen in…

Soft Condensed Matter · Physics 2020-11-05 Subhajit Paul , Arabinda Bera , Subir K. Das

We studied formation of vortex with four-fold symmetry in a minimal model of self-propelled particles, confined inside a squared box, using computer simulations and also theoretical analysis. In addition to the vortex pattern, we observed…

Statistical Mechanics · Physics 2016-03-23 Hamid Seyed-Allaei , Mohammad Reza Ejtehadi

The collective behavior of a binary mixture of polar self-propelled particles (SPPs) with different motile properties is studied. The binary mixture consists of slow-moving SPPs (sSPPs) of fixed velocity $v_s$ and fast-moving SPPs (fSPPs)…

Soft Condensed Matter · Physics 2022-08-02 Sagarika Adhikary , S. B. Santra

We have carried out a Monte Carlo simulation of a modified version of Vicsek model for the motion of self-propelled particles in two dimensions. In this model the neighborhood of interaction of a particle is a sector of the circle with the…

Statistical Mechanics · Physics 2016-05-24 Mihir Durve , Ahmed Sayeed

In our work we have studied a two-dimensional suspension of finite-size Vicsek hard-disks, whose time evolution follows an event-driven dynamics between subsequent time steps. Having compared its collective behaviour with the one expected…

Soft Condensed Matter · Physics 2019-11-26 Raul Martinez , Francisco Alarcon , Diego Rogel Rodriguez , Juan Luis Aragones , Chantal Valeriani

We use computer simulations to study the onset of collective motion in systems of interacting active particles. Our model is a swarm of active Brownian particles with internal energy depot and interactions inspired by the dissipative…

Statistical Mechanics · Physics 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy

We study a system of purely repulsive spherical self-propelled particles in the minimal set-up inducing Motility-Induced Phase Separation (MIPS). We show that, even if explicit alignment interactions are absent, a growing order in the…

Statistical Mechanics · Physics 2020-02-26 Lorenzo Caprini , Umberto Marini Bettolo Marconi , Andrea Puglisi

The Standard Vicsek Model (SVM) is a minimal nonequilibrium model of self-propelled particles that appears to capture the essential ingredients of critical flocking phenomena. In the SVM, particles tend to align with each other and form…

Statistical Mechanics · Physics 2013-05-13 Gabriel Baglietto , Ezequiel V. Albano , Julián Candia

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…

Statistical Mechanics · Physics 2009-05-20 V. Dossetti , F. J. Sevilla , V. M. Kenkre

We study the real-time dynamics of vortex lines in a large elongated Bose-Einstein condensate (BEC) of sodium atoms using a stroboscopic technique. Vortices are spontaneously produced via the Kibble-Zurek mechanism in a quench across the…

Active matter refers to a broad class of non-equilibrium systems where energy is continuously injected at the level of individual ``particles". These systems exhibit emergent collective behaviors that have no direct thermal-equilibrium…

Soft Condensed Matter · Physics 2026-02-10 Zihan Zheng , Cunyuan Jiang , Yangrui Chen , Matteo Baggioli , Jie Zhang

An Ising-type Vicsek model is proposed for collective motion and sudden direction change in a population of self-propelled particles. Particles move on a linear lattice with velocity +1 or -1 in the one-dimensional model. The probability of…

Pattern Formation and Solitons · Physics 2020-01-08 Hidetsugu Sakaguchi , Kazuya Ishibashi