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We present a model of active particles interacting through a dynamic, heterogeneous environment, leading to emergent collective behaviors without direct agent-to-agent communication. Expanding the resource-dependent framework introduced in…

Biological Physics · Physics 2026-01-22 Gaston Briozzo , Gustavo J. Sibona , Fernando Peruani

We derive from first principles a three-dimensional theory of self-propelled particle swarming in a viscous fluid environment. Our model predicts emergent collective behavior that depends critically on fluid opacity, mechanism of…

Soft Condensed Matter · Physics 2026-05-12 Yao-Li Chuang , M. R. D'Orsogna , T. Chou

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

The self-organization of active particles is governed by their dynamic effective interactions. Such interactions are controlled by the medium in which such active agents reside. Here, we study the interactions between active agents in a…

Soft Condensed Matter · Physics 2016-06-08 J. L. Aragones , J. P. Steimel , A. Alexander-Katz

The ability of many living systems to actively self-propel underlies critical biomedical, environmental, and industrial processes. While such active transport is well-studied in uniform settings, environmental complexities such as geometric…

Biological Physics · Physics 2021-08-23 Alejandro Martínez-Calvo , Carolina Trenado-Yuste , Sujit S. Datta

We consider the driven dynamics of a probe particle moving through an assembly of particles with competing long-range repulsive and short-range attractive interactions, which form crystal, stripe, labyrinth, and bubble states as the ratio…

Soft Condensed Matter · Physics 2025-01-10 C. Reichhardt , C. J. O. Reichhardt

Active agents with time-delayed interactions arise naturally in various real-world systems, such as biological systems, transportation networks and robotic swarms. Such systems are typically modeled as Delay Differential Equations (DDEs)…

Dynamical Systems · Mathematics 2025-09-03 Yu Wang , Andreas Amann , Jinde Cao , Jürgen Kurths , Serhiy Yanchuk

Despite the diversity of materials designated as active matter, virtually all active systems undergo a form of dynamic arrest when crowding and activity compete, reminiscent of the dynamic arrest observed in colloidal and molecular fluids…

Soft Condensed Matter · Physics 2019-05-28 Ludovic Berthier , Elijah Flenner , Grzegorz Szamel

We theoretically study the transport properties of self-propelled particles on complex structures, such as motor proteins on filament networks. A general master equation formalism is developed to investigate the persistent motion of…

Soft Condensed Matter · Physics 2014-09-19 M. Reza Shaebani , Zeinab Sadjadi , Igor M. Sokolov , Heiko Rieger , Ludger Santen

Swarms of large numbers of agents appear in many biological and engineering fields. Dynamic bi-stability of co-existing spatio-temporal patterns has been observed in many models of large population swarms. However, many reduced models for…

Pattern Formation and Solitons · Physics 2015-06-17 Luis Mier-y-Teran-Romero , Ira B. Schwartz

Many biological active agents respond to gradients of environmental cues by redirecting their motion. Besides the well-studied prominent examples such as photo- and chemotaxis, there has been considerable recent interest in topotaxis, i.e.\…

Soft Condensed Matter · Physics 2023-05-04 Zeinab Sadjadi , Heiko Rieger

How do topological defects affect the degree of order in active matter? To answer this question we investigate an agent-based model of self-propelled particles, which accounts for polar alignment and short-ranged repulsive interactions. For…

Soft Condensed Matter · Physics 2014-04-30 Christoph A. Weber , Christopher Bock , Erwin Frey

The emergence of collective motion, also known as flocking or swarming, in groups of moving individuals who orient themselves using only information from their neighbors is a very general phenomenon that is manifested at multiple spatial…

Statistical Mechanics · Physics 2016-04-26 David A. Quint , Ajay Gopinathan

Self-propelled particles can navigate complex environments, including viscous fluid interfaces with curved geometries. In this work, we study the emergent dynamics of a suspension of self-propelled particles confined to a stationary curved…

Fluid Dynamics · Physics 2026-04-17 Yuzhu Chen , Vishal P. Patil , David Saintillan

We discuss biologically inspired, inherently non-equilibrium self-propelled particle models, in which the particles interact with their neighbours by choosing at each time step the local average direction of motion. We summarize some of the…

Statistical Mechanics · Physics 2007-05-23 Andras Czirok , Tamas Vicsek

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

This chapter focuses on the mathematical modelling of active particles (or agents) in crowded environments. We discuss several microscopic models found in literature and the derivation of the respective macroscopic partial differential…

Statistical Mechanics · Physics 2022-11-11 Maria Bruna , Martin Burger , Jan-Frederik Pietschmann , Marie-Therese Wolfram

Active matter swarms -- collectives of self-propelled particles that could self-assemble, ferry microscopic cargo, or endow materials with dynamic properties -- remain hard to steer. In crowded systems, tracking or controlling individual…

Soft Condensed Matter · Physics 2025-08-05 Titus Quah , Sho C. Takatori , James B. Rawlings

In this work we study analytically and numerically the transport properties of non-interacting active particles moving on a $d$-dimensional disordered media. The disorder in the space is modeled by means of a set of non-overlapping…

Statistical Mechanics · Physics 2022-07-20 R. Salgado-García

The transport of active particles may occur in complex environments, in which it emerges from the interplay between the mobility of the active components and the quenched disorder of the environment. Here we explore structural and dynamical…

Soft Condensed Matter · Physics 2023-03-31 Fergus J. Moore , John Russo Tanniemola B. Liverpool , C. Patrick Royall