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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

Distance control in many-particle systems is a fundamental problem in nature. This becomes particularly relevant in systems of active agents, which can sense their environment and react by adjusting their direction of motion. We employ…

Biological Physics · Physics 2024-06-04 Rajendra Singh Negi , Priyanka Iyer , Gerhard Gompper

Randomness plays a key role in the order transition of active matter but has not yet been explicitly considered in pairwise interaction connection. In this letter, we introduce the perception rate P into the Vicsek model as the probability…

Soft Condensed Matter · Physics 2025-01-22 Ruizhi Jin , Kejun Dong

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

We study a biologically inspired, inherently non-equilibrium model consisting of self-propelled particles. In the model, particles move on a plane with a velocity of constant magnitude; they locally interact with their neighbors by choosing…

Statistical Mechanics · Physics 2007-05-23 Andras Czirok , H. Eugene Stanley , Tamas Vicsek

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

When particles move at a constant speed and have the tendency to align their directions of motion, ordered large scale movement can emerge despite significant levels of noise. Many variants of this model of self-propelled particles have…

Biological Physics · Physics 2012-12-11 Matthias Meschede , Oskar Hallatschek

We investigate dynamics of deformable self-propelled particles with a repulsive interaction whose magnitude depends on the relative direction of elongation of a pair of particles. A collective motion of the particles appears in two…

Soft Condensed Matter · Physics 2015-05-27 Yu Itino , Takahiro Ohkuma , Takao Ohta

We investigate a simple Vicsek-type rule-based model for self-propelled particles, where each particle orients itself antiparallel to the average orientation of particles within a defined neighborhood of radius $R$. The particle orientation…

Soft Condensed Matter · Physics 2024-12-17 P. Bisht

We investigate the influence of obstacles on the collective motion of self propelled objects in the framework of the Vicsek model. The obstacles are arranged in a square lattice and have circular shape. We show that by increasing the radius…

Soft Condensed Matter · Physics 2023-08-09 Horacio Serna , Wojciech T. Góźdź

The first-order phase transitions in the lattice model of Janus-like particles confined in slit-like pores are studied. We assume a cubic lattice with molecules that can freely change their orientation on a lattice site. Moreover, the…

Soft Condensed Matter · Physics 2017-02-13 M. Borówko , A. Patrykiejew , W. Rzysko , S. Sokołowski

We numerically demonstrate bidirectional sorting of flocking particles interacting with an array of asymmetric barriers. Each particle aligns with the average swimming direction of its neighbors according to the Vicsek model and experiences…

Soft Condensed Matter · Physics 2015-06-03 Jeffrey A. Drocco , C. J. Olson Reichhardt , C. Reichhardt

In this study, we conduct experimental investigations on the behavior of confined self-propelled particles within a circular arena, employing small commercial robots capable of locomotion, communication, and information processing. These…

Other Condensed Matter · Physics 2026-03-31 E. Barone , G. A. Patterson

We consider a Vicsek model of self-propelled particles with bounded confidence, where each particle interacts only with neighbors that have a similar direction. Depending on parameters, the system exhibits a continuous or discontinuous…

Statistical Mechanics · Physics 2017-05-22 Rüdiger Kürsten , Thomas Ihle

We study the disorder-to-order transition in a collection of polar self-propelled particles interacting through a distance dependent alignment interaction. Strength of the interaction, $a^{d}$ ($0<a<1$) decays with metric distance $d$…

Statistical Mechanics · Physics 2018-04-02 Sudipta Pattanayak , Shradha Mishra

A simple model with a novel type of dynamics is introduced in order to investigate the emergence of self-ordered motion in systems of particles with biologically motivated interaction. In our model particles are driven with a constant…

Statistical Mechanics · Physics 2007-05-23 Tamas Vicsek , Andras Czirok , Eshel Ben-Jacob , Inon Cohen , Ofer Sochet

The Vicsek model of self-propelled particles is known in three different phases: (i) a polar ordered homogeneous phase also called Toner-Tu phase, (iii) a phase of polar ordered regularly arranged high density bands (waves) with surrounding…

Soft Condensed Matter · Physics 2020-11-04 Rüdiger Kürsten , Thomas Ihle

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…

Statistical Mechanics · Physics 2025-12-23 Chul-Ung Woo , Heiko Rieger , Jae Dong Noh

We show that memory, in the form of underdamped angular dynamics, is a crucial ingredient for the collective properties of self-propelled particles. Using Vicsek-style models with an Ornstein-Uhlenbeck process acting on angular velocity, we…

Statistical Mechanics · Physics 2018-09-12 Ken H. Nagai , Yutaka Sumino , Raul Montagne , Igor S. Aranson , Hugues Chaté

Understanding the organization of collective motion in biological systems is an ongoing challenge. In this Paper we consider a minimal model of self-propelled particles with variable speed. Inspired by experimental data from schooling fish,…

Biological Physics · Physics 2015-06-04 Shradha Mishra , Kolbjørn Tunstrøm , Iain D. Couzin , Cristián Huepe