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We investigate a discrete model consisting of self-propelled particles that obey simple interaction rules. We show that this model can self-organize and exhibit coherent localized solutions in one- and in two-dimensions.In one-dimension,…

Soft Condensed Matter · Physics 2009-10-31 Herbert Levine , Wouter-Jan Rappel , Inon Cohen

We investigate the effect of cooperative interactions in an ensemble of microorganisms, modelled as self-propelled disk-like and rod-like particles, in a three-dimensional turbulent flow to show flocking as an emergent phenomenon. Building…

Soft Condensed Matter · Physics 2020-05-20 Anupam Gupta , Amal Roy , Arnab Saha , Samriddhi Sankar Ray

We develop a statistical theory for the dynamics of non-aligning, non-interacting self-propelled particles confined in a convex box in two dimensions. We find that when the size of the box is small compared to the persistence length of a…

Soft Condensed Matter · Physics 2014-08-05 Yaouen Fily , Aparna Baskaran , Michael F. Hagan

The paper develops the stiffness relationship between the movements and forces among a system of discrete interacting grains. The approach is similar to that used in structural analysis, but the stiffness matrix of granular material is…

Soft Condensed Matter · Physics 2019-05-01 Matthew R. Kuhn , Florent Prunier , Ali Daouadji

In living cells, proteins self-assemble into large functional structures based on specific interactions between molecularly complex patches. Due to this complexity, protein self-assembly results from a competition between a large number of…

Soft Condensed Matter · Physics 2024-12-10 Lara Koehler , Pierre Ronceray , Martin Lenz

We discuss a simple model of particles hopping in one dimension with attractive interactions. Taking a hydrodynamic limit in which the interaction strength increases with the system size, we observe the formation of multiple clusters of…

Statistical Mechanics · Physics 2017-05-05 Matthew Burman , Daniel Carpenter , Robert L. Jack

Active matter broadly covers the dynamics of self-propelled particles. While the onset of collective behavior in homogenous active systems is relatively well understood, the effect of inhomogeneities such as obstacles and traps lacks…

Soft Condensed Matter · Physics 2022-03-23 Igor S. Aranson , Arkady Pikovsky

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 propose a simple model of self-propelled particles to show that coherent structures, such as jets and swirls, can arise from a plausible microscopic mechanisms: (i) the elongated shape of the self-propelled particles with (ii) the…

Soft Condensed Matter · Physics 2009-11-13 Nicholas Sambelashvili , A. W. C. Lau , David Cai

The hydrodynamic interactions of a suspension of self-propelled particles are studied using a direct numerical simulation method which simultaneously solves for the host fluid and the swimming particles. A modified version of the "Smoothed…

Soft Condensed Matter · Physics 2013-01-15 John J. Molina , Yasuya Nakayama , Ryoichi Yamamoto

We present a detailed study of the large-scale collective properties of self-propelled particles (SPPs) moving in two-dimensional heterogeneous space. The impact of spatial heterogeneities on the ordered, collectively moving phase is…

Biological Physics · Physics 2015-08-10 Oleksandr Chepizhko , Fernando Peruani

A simple model for simulating flows of active suspensions is investigated. The approach is based on dissipative particle dynamics. While the model is potentially applicable to a wide range of self-propelled particle systems, the specific…

Fluid Dynamics · Physics 2015-10-08 Denis F. Hinz , Alexander Panchenko , Tae-Yeon Kim , Eliot Fried

Artificial active particles, exemplified by Hexbugs (HB), serve as valuable tools for investigating the intricate dynamics of active matter systems. Leveraging their stochastic motion, Hexbugs provides an excellent experimental model. In…

Soft Condensed Matter · Physics 2024-03-06 Pamela Muñoz Obreque , Oscar Garrido , Diego Romero , Hartmut Löwen , Francisca Guzmán-Lastra

Asymmetric obstacles can be exploited to direct the motion and induce sorting of run-and-tumbling particles. In this work, we show that flocking particles which follow the Vicsek model aligning rules experience a collective trapping in the…

Soft Condensed Matter · Physics 2019-12-02 Raul Martinez , Francisco Alarcon , Juan Luis Aragones , Chantal Valeriani

The continuous limit of large systems of particles of finite size on the line is described. The particles are assumed to move freely and stick under collision, to form compound particles whose mass and size is the sum of the masses and…

Mathematical Physics · Physics 2009-11-11 Gershon Wolansky

We investigate the transport of interacting active run-and-tumble particles moving under an external drift force through a periodic array of obstacles for increasing drive amplitudes. For high activity where the system forms a motility…

Soft Condensed Matter · Physics 2024-04-23 C. Reichhardt , C. J. O. Reichhardt

Here we present an experimental observation of the self-organization effect of the polystyrene particles formed by acoustically-induced interaction forces. Two types of stable configurations are observed experimentally: one is mechanically…

Soft Condensed Matter · Physics 2017-08-16 Mudi Wang , Chunyin Qiu , Shenwei Zhang , Runzhou Han , Manzhu Ke , Zhengyou Liu

We study a driven system in which interaction between particles causes their directional, coupled movement. In that model system, two particles move alternatingly in time on two coupled chains. Without interaction, both particles diffuse…

Computational Physics · Physics 2023-08-10 Helena Drüeke , Dieter Bauer

Statistical mechanics explains the properties of macroscopic phenomena based on the movements of microscopic particles such as atoms and molecules. Movements of microscopic particles can be represented by large-scale interacting systems. In…

Probability · Mathematics 2026-04-15 Kenichi Bannai , Jun Koriki , Makiko Sasada , Hidetada Wachi , Shuji Yamamoto

Self-propelled particles include both self-phoretic synthetic colloids and various micro-organisms. By continually consuming energy, they bypass the laws of equilibrium thermodynamics. These laws enforce the Boltzmann distribution in…

Soft Condensed Matter · Physics 2015-04-15 Michael E. Cates , Julien Tailleur