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We study numerically a model of non-aligning self-propelled particles interacting through steric repulsion, which was recently shown to exhibit active phase separation in two dimensions in the absence of any attractive interaction or…

Soft Condensed Matter · Physics 2014-06-03 Yaouen Fily , Silke Henkes , M. Cristina Marchetti

We present a comprehensive study of Vicsek-style self-propelled particle models in two and three space dimensions. The onset of collective motion in such stochastic models with only local alignment interactions is studied in detail and…

Statistical Mechanics · Physics 2009-11-13 Hugues Chaté , Francesco Ginelli , Guillaume Grégoire , Franck Raynaud

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

We investigate systems of self-propelled particles with alignment interaction. Compared to previous work, the force acting on the particles is not normalized and this modification gives rise to phase transitions from disordered states at…

Mathematical Physics · Physics 2014-09-25 Pierre Degond , Amic Frouvelle , Jian-Guo Liu

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

A microscopic, stochastic, minimal model for collective and cohesive motion of identical self-propelled particles is introduced. Even though the particles interact strictly locally in a very noisy manner, we show that cohesion can be…

Statistical Mechanics · Physics 2010-01-05 Guillaume Gregoire , Hugues Chate , Yuhai Tu

Self-propelled particles with anti-aligning interactions generally do not form a polar order. However, in this Letter, we show that when multiple types of such particles coexist and interact through aligning interactions between different…

Soft Condensed Matter · Physics 2025-12-08 Takahiro Oki , Tetsuhiro S. Hatakeyama , Seiya Nishikawa , Shuji Ishihara , Toshinori Namba

Self-propelled particles display unique collective phenomena, due to the intrinsic coupling of density and polarity. For instance, the giant number fluctuation appears in the orientationally ordered state, and the motility-induced phase…

Statistical Mechanics · Physics 2024-09-04 Kyosuke Adachi , Hiroyoshi Nakano

We consider a coarse-grained description of a system of self-propelled particles given by hydrodynamic equations for the density and polarization fields. We find that the ordered moving or flocking state of the system is unstable to spatial…

Statistical Mechanics · Physics 2013-05-29 Shradha Mishra , Aparna Baskaran , M. Cristina Marchetti

We undertake a systematic numerical exploration of self-organized states in a deterministic model of interacting self-propelled particles in two dimensions. In the process, we identify various types of collective motion, namely, disordered…

Statistical Mechanics · Physics 2015-03-19 Jihad Touma , Amer Shreim , Leonid Klushin

Self-propelled particles that are subject to noise are a well-established generic model system for active matter. A homogeneous alignment field can be used to orient the direction of the self-propulsion velocity and to model systems like…

Statistical Mechanics · Physics 2024-03-06 Sameh Othman , Jiarul Midya , Thorsten Auth , Gerhard Gompper

The symmetry of the alignment mechanism in systems of polar self-propelled particles determines the possible macroscopic large-scale patterns that can emerge. Here we compare polar and apolar alignment. These systems share some common…

Biological Physics · Physics 2015-06-12 Fernando Peruani , Francesco Ginelli , Markus Bar , Hugues Chate

Using a microscopic model of interacting polar biofilaments and motor proteins, we characterize the phase diagram of both homogeneous and inhomogeneous states in terms of experimental parameters. The polarity of motor clusters is key in…

Soft Condensed Matter · Physics 2009-11-11 A. Ahmadi , T. B. Liverpool , M. C. Marchetti

We study collections of self-propelled rods (SPR) moving in two dimensions for packing fractions less than or equal to 0.3. We find that in the thermodynamical limit the SPR undergo a phase transition between a disordered gas and a novel…

Biological Physics · Physics 2015-07-29 Sebastian Weitz , Andreas Deutsch , Fernando Peruani

We provide a complete and rigorous description of phase transitions for kinetic models of self-propelled particles interacting through alignment. These models exhibit a competition between alignment and noise. Both the alignment frequency…

Analysis of PDEs · Mathematics 2014-09-26 Pierre Degond , Amic Frouvelle , Jian-Guo Liu

We study binary mixtures of small active and big passive athermal particles interacting via soft repulsive forces on a frictional substrate. Athermal self propelled particles are known to phase separate into a dense aggregate and a dilute…

Soft Condensed Matter · Physics 2018-07-05 Pritha Dolai , Aditi Simha , Shradha Mishra

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…

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

We numerically examine a system of monodisperse self-propelled particles interacting with each other via simple steric forces and aligning torques moving through a periodic array of obstacles. Without obstacles, this system shows a…

Soft Condensed Matter · Physics 2025-02-27 Daniel Canavello , C. Reichhardt , C. J. O Reichhardt , Clécio C. de Souza Silva

We study a system of self-propelled particles which interact with their neighbors via alignment and repulsion. The particle velocities result from self-propulsion and repulsion by close neighbors. The direction of self-propulsion is…

Mathematical Physics · Physics 2014-04-22 Pierre Degond , Giacomo Dimarco , Thi Bich Ngoc Mac , Nan Wang

Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reversibly associate to their tracks. Stimulated by these…

Statistical Mechanics · Physics 2021-11-17 Akriti Jindal , Anatoly B. Kolomeisky , Arvind Kumar Gupta
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