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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

We study dynamic self-organisation and order-disorder transitions in a two-dimensional system of self-propelled particles. Our model is a variation of the Vicsek model, where particles align the motion to their neighbours but repel each…

Statistical Mechanics · Physics 2013-05-02 Maksym Romenskyy , Vladimir Lobaskin

We study the collective behavior of binary mixture of self-propelled particles. Particles moves along their heading direction with {\it variable speed} and interact through short range alignment interaction. A variable speed parameter…

Soft Condensed Matter · Physics 2020-04-22 Jay Prakash Singh , Shradha Mishra

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

We investigate the impact of random pinned disorder on a collection of self propelled particles. To achieve this, we construct a continuum model by formulating the coupled hydrodynamic equations for slow variables, local density and…

Soft Condensed Matter · Physics 2025-12-24 Pratikshya Jena , Shambhavi Dikshit , Shradha Mishra

We show that phase separation in ordered polar active fluids belongs to a new universality class. This describes large collections of self-propelled entities (``flocks"), all spontaneously moving in the same direction, in which attractive…

Soft Condensed Matter · Physics 2024-01-12 Maxx Miller , John Toner

We study the collective dynamics of repulsive self-propelled particles. The particles are governed by coupled equations of motion that include polar self-propulsion, damping of velocity and of polarity, repulsive particle-particle…

Statistical Mechanics · Physics 2017-01-04 Takayuki Hiraoka , Takashi Shimada , Nobuyasu Ito

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

We study a model of self-propelled particles interacting with their $k$ nearest neighbors through polar alignment. By exploring its phase space as a function of two nondimensional parameters (alignment strength $g$ and Peclet number…

Soft Condensed Matter · Physics 2022-08-16 Yinong Zhao , Cristian Huepe , Pawel Romanczuk

In this study, we introduce a minimal model for a collection of polar self-propelled particles (SPPs) on a two-dimensional substrate where each particle has a different ability to interact with its neighbours. The SPPs interact through a…

Statistical Mechanics · Physics 2021-02-02 Jay Prakash Singh , Sudipta Pattanayak , Shradha Mishra

We consider the patterns of collective motion emerging when many aligning, self-propelling units move in two dimensions while interacting through a repulsive potential and are also subject to delays and random perturbations. In this…

Soft Condensed Matter · Physics 2023-11-14 Fatemeh Pakpour , Tamás Vicsek

We study the phase behaviour of a fluid composed of particles which interact via a pair potential that is repulsive for large inter-particle distances, is attractive at intermediate distances and is strongly repulsive at short distances…

Soft Condensed Matter · Physics 2008-09-17 A. J. Archer , C. Ionescu , D. Pini , L. Reatto

We study a collection of self-propelled polar particles on a two-dimensional substrate with birth and death. We introduce a minimal lattice model for the system using active Ising spins, where each particle can have two possible…

Soft Condensed Matter · Physics 2022-05-10 Pawan Kumar Mishra , Shradha Mishra

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

In this work we consider the phase transition from ordered to disordered states that occur in the Vicsek model of self-propelled particles. This model was proposed to describe the emergence of collective order in swarming systems. When…

Statistical Mechanics · Physics 2009-07-31 M. Aldana , H. Larralde , B. Vázquez

We introduce a minimal model for a collection of self-propelled apolar active particles, also called as `active nematic', on a two-dimensional substrate and study the order-disorder transition with the variation of density. The particles…

Statistical Mechanics · Physics 2015-09-18 Rakesh Das , Manoranjan Kumar , Shradha Mishra

We study the flocking and pattern formations of active particles with a Vicsek-like model that includes a configuration dependent noise term. In particular, we couple the strength of the noise with both the local density and orientation of…

Biological Physics · Physics 2017-02-09 Kosuke Matsui , John J. Molina

Via computer simulations we study kinetics of pattern formation in a two-dimensional active matter system. Self-propulsion in our model is incorporated via the Vicsek-like activity, i.e., particles have the tendency of aligning their…

Soft Condensed Matter · Physics 2020-08-26 Saikat Chakraborty , Subir K. Das

Lateral microsegregation in a monolayer of a binary mixture of particles or macromolecules is studied by MD simulations in a generic model with the interacting potentials inspired by effective interactions in biological or soft-matter…

Soft Condensed Matter · Physics 2025-05-26 M. Litniewski , W. T. Gozdz nd A. Ciach

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
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