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The cohesive collective motion (flocking, swarming) of autonomous agents is ubiquitously observed and exploited in both natural and man-made settings, thus, minimal models for its description are essential. In a model with continuous space…

Statistical Mechanics · Physics 2015-01-12 Illes J. Farkas , Jeromos Kun , Yi Jin , Gaoqi He , Mingliang Xu

Considering a gas of self-propelled particles with binary interactions, we derive the hydrodynamic equations governing the density and velocity fields from the microscopic dynamics, in the framework of the associated Boltzmann equation.…

Statistical Mechanics · Physics 2009-10-09 Eric Bertin , Michel Droz , Guillaume Grégoire

Active systems, from bacterial suspensions to cellular monolayers, are continuously driven out of equilibrium by local injection of energy from their constituent elements and exhibit turbulent-like and chaotic patterns. Here we demonstrate…

Soft Condensed Matter · Physics 2016-02-04 Amin Doostmohammadi , Michael F. Adamer , Sumesh P. Thampi , Julia M. Yeomans

Self-propelled point-like particles move along circular trajectories when their translocation velocity is constant and the angular velocity related to their orientation vector is also constant. We investigate the collective behavior of…

Biological Physics · Physics 2014-02-04 Yingzi Yang , Feng Qiu , Gerhard Gompper

Active materials take advantage of their internal sources of energy to self-organize in an automated manner. This feature provides a novel opportunity to design micron-scale machines with minimal required control. However, self-organization…

Soft Condensed Matter · Physics 2021-01-22 Zijie Qu , Jialong Jiang , Heun Jin Lee , Rob Phillips , Shahriar Shadkhoo , Matt Thomson

The diffusion of active microscopic organisms in complex environments plays an important role in a wide range of biological phenomena from cell colony growth to single organism transport. Here, we investigate theoretically and…

Fluid Dynamics · Physics 2018-01-16 Juan L. Aragones , Shahrzad Yazdi , Alfredo Alexander-Katz

Collective guidance of out-of-equilibrium systems without using external fields is a challenge of paramount importance in active matter, ranging from bacterial colonies to swarms of self-propelled particles. Designing strategies to guide…

Flocking refers to collective behavior of a large number of interacting entities, where the interactions between discrete individuals produce collective motion on the large scale. We employ an agent-based model to describe the microscopic…

Numerical Analysis · Mathematics 2020-12-23 Zhiping Mao , Zhen Li , George Em Karniadakis

A colloidal particle driven by externally actuated rotation can self-propel parallel to a rigid boundary by exploiting the hydrodynamic coupling that surfaces induce between translation and rotation. As such a roller moves along the…

Fluid Dynamics · Physics 2020-02-20 Alexander Chamolly , Eric Lauga , Soichiro Tottori

We present an information-theoretic approach inspired by distributional clustering to assess the structural heterogeneity of particulate systems. Our method identifies communities of particles that share a similar local structure by…

Statistical Mechanics · Physics 2020-04-20 Joris Paret , Robert L. Jack , Daniele Coslovich

We present a derivation of a recently proposed theory for the time dependence of density fluctuations in stationary states of strongly interacting, athermal, self-propelled particles. The derivation consists of two steps. First, we start…

Soft Condensed Matter · Physics 2016-01-13 Grzegorz Szamel

Attractor dynamics are a hallmark of many complex systems, including the brain. Understanding how such self-organizing dynamics emerge from first principles is crucial for advancing our understanding of neuronal computations and the design…

Neurons and Cognition · Quantitative Biology 2026-05-22 Tamas Spisak , Karl Friston

We develop a general hydrodynamic theory describing a system of interacting actively propelling particles of arbitrary shape suspended in a viscous fluid. We model the active part of the particle motion using a slip velocity prescribed on…

Fluid Dynamics · Physics 2019-01-15 Bhargav Rallabandi , Fan Yang , Howard A. Stone

A longstanding open question in the field of dense disordered matter is how precisely structure and dynamics are related to each other. With the advent of machine learning, it has become possible to agnostically predict the dynamic…

We present an experimental study on the collective behavior of macroscopic self-propelled particles that are externally excited by light. This property allows testing the system response to the excitation intensity in a very versatile…

Soft Condensed Matter · Physics 2025-09-03 Sára Lévay , Axel Katona , Hartmut Löwen , Raúl Cruz Hidalgo , Iker Zuriguel

Active particles with a (magnetic) dipole moment are of interest for steering self-propelled motion, but also result in novel collective effects due to their dipole-dipole interaction. Here systems of active dipolar particles are studied…

Soft Condensed Matter · Physics 2025-12-30 Vitali Telezki , Stefan Klumpp

Self-organizing systems demonstrate how simple local rules can generate complex stochastic patterns. Many natural systems rely on such dynamics, making self-organization central to understanding natural complexity. A fundamental challenge…

Adaptation and Self-Organizing Systems · Physics 2026-01-12 Elias Najarro , Nicolas Bessone , Sebastian Risi

Active gels are a class of biologically-relevant material containing embedded agents that spontaneously generate forces acting on a sparse filament network. In vitro experiments of protein filaments and molecular motors have revealed a…

Soft Condensed Matter · Physics 2024-06-03 David A. Head , Gerhard Gompper , W. J. Briels

We demonstrate that active rotations in chemically signalling particles, such as autochemotactic {\it E. coli} close to walls, create a route for pattern formation based on a nonlinear yet deterministic instability mechanism. For slow…

Soft Condensed Matter · Physics 2016-08-19 Benno Liebchen , Michael E. Cates , Davide Marenduzzo

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