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Ensembles of particles rotating in a two-dimensional fluid can exhibit chaotic dynamics yet develop signatures of hidden order. Such "rotors" are found in the natural world spanning vastly disparate length scales - from the rotor proteins…

Soft Condensed Matter · Physics 2022-03-09 Naomi Oppenheimer , David B. Stein , Matan Yah Ben Zion , Michael J. Shelley

In this paper we develop a field-theoretic description for run and tumble chemotaxis, based on a density functional description of crystalline materials modified to capture orientational ordering. We show that this framework, with its…

Soft Condensed Matter · Physics 2021-03-10 Purba Chatterjee , Nigel Goldenfeld

Active matter systems under confinement display persistent surface motion and a strong boundary affinity. However, despite extensive studies of their positional dynamics, much less attention has been given to the corresponding orientational…

Soft Condensed Matter · Physics 2026-05-21 Elsa Baby , Manoj Gopalakrishnan , Vishwas V. Vasisht

We study an agent-based model of self-propelled particles with a velocity-dependent alignment rule. This interaction is orientation weighted and acts along the line connecting neighboring particles. Tuning the alignment strength produces…

Soft Condensed Matter · Physics 2026-05-19 Bohdan Dobosh , Alexander Yakimenko

The simplest prescription for building a patterned structure from its constituents is to add particles, one at a time, to an appropriate template. However, self-organizing molecular and colloidal systems in nature can evolve in much more…

Statistical Mechanics · Physics 2009-04-07 Stephen Whitelam , Edward H. Feng , Michael F. Hagan , Phillip L. Geissler

Active matter systems - such as a collection of active colloidal particles - operate far from equilibrium with complex inter-particle interactions that govern their collective dynamics. Predicting the collective dynamics of such systems may…

Soft Condensed Matter · Physics 2024-08-06 Arvin Gopal Subramaniam , Manoj Kumar , Shashi Thutupalli , Rajesh Singh

This paper is devoted to investigate the pattern formation of a volume-filling chemotaxis model with logistic cell growth. We first apply the local stability analysis to establish sufficient conditions of destabilization for uniform…

Analysis of PDEs · Mathematics 2016-11-22 Yazhou Han , Zhongfang Li , Jicheng Tao , Manjun Ma

Block copolymer melts offer a unique template to control the position and alignment of nanoparticles due to their ability to self-assemble into periodic ordered structures. Active Brownian particles are shown to co-assemble with block…

Soft Condensed Matter · Physics 2024-03-14 Javier Diaz , Ignacio Pagonabarraga

Inspired by the chemotaxis interaction of living cells, we have developed an agent-based approach for self-organizing shape formation. Since all our simulations begin with a different uniform random configuration and our agents move…

Multiagent Systems · Computer Science 2018-03-13 Sean Grimes , Linge Bai , Andrew W. E. McDonald , David E. Breen

Systems composed of strongly interacting self-propelled particles can form a spontaneously flowing polar active fluid. The study of the connection between the microscopic dynamics of a single such particle and the macroscopic dynamics of…

Soft Condensed Matter · Physics 2018-03-02 Benjamin Loewe , Anton Souslov , Paul M. Goldbart

Complex spatial patterns in biological systems often arise through self-organization without a central coordination, guided by local interactions and chemical signaling. In this study, we explore how motility-dependent chemical deposition…

Biological Physics · Physics 2025-04-24 Subhashree Subhrasmita Khuntia , Debasish Chaudhuri , Abhishek Chaudhuri

Collective motion of chemotactic bacteria as E. Coli relies, at the individual level, on a continuous reorientation by runs and tumbles. It has been established that the length of run is decided by a stiff response to a temporal sensingof…

Analysis of PDEs · Mathematics 2018-08-15 Benoît Perthame , Shugo Yasuda

In many biological systems localized mechanical information is transmitted by mechanically neutral chemical signals. Typical examples include contraction waves in acto-myosin cortex at cellular scale and peristaltic waves at tissue level.…

Soft Condensed Matter · Physics 2025-11-25 Lev Truskinovsky , Giuseppe Zurlo

The shear-induced self-organization of active rotors into stripy aggregates is studied by carrying out computational simulations. The rotors, modeled by monolayers of frictional spheres, develop to stripy microstructures only when they…

Soft Condensed Matter · Physics 2022-01-19 Zhiyuan Zhao , Boyi Wang , Shigeyuki Komura , Mingcheng Yang , Fangfu Ye , Ryohei Seto

We report structure formation in submonolayers of magnetic microparticles subjected to periodic electrostatic and magnetic excitations. Depending on the excitation parameters, we observe the formation of a rich variety of structures:…

Pattern Formation and Solitons · Physics 2009-11-10 A. Snezhko , I. S. Aranson , W. -K. Kwok

The collective dynamics of mobile scatterers and light in optical resonators generates complex behaviour. For strong transverse illumination a phase transition from homogeneous to crystalline particle order appears. In contrast, a gas…

Quantum Physics · Physics 2015-06-23 S. Ostermann , T. Grießer , H. Ritsch

The interplay between active matter and its environment is central to understanding emergent behavior in biological and synthetic systems. Here, we show that coupling active nematic flows to small-amplitude deformations of a compliant…

Soft Condensed Matter · Physics 2026-01-19 Varun Venkatesh , Amin Doostmohammadi

The interaction between passive and active/driven particles has introduced a new way to control colloidal suspension properties from particle aggregation to crystallization. Here, we focus on the hydrodynamic interaction between a single…

Soft Condensed Matter · Physics 2024-02-07 Shih-Yuan Chen , Hector Lopez-Rios , Monica Olvera de la Cruz , Michelle M. Driscoll

Biological pattern formation is one of the most intriguing phenomena in nature. Simplest examples of such patterns are represented by travelling waves and stationary periodic patterns which occur during various biological processes…

Analysis of PDEs · Mathematics 2024-06-12 Valentina Bucur , Bakhtier Vasiev

In this work we show that under specific anomalous diffusion conditions, chemical systems can produce well-ordered self-similar concentration patterns through a diffusion-driven instability. We also find spiral patterns and patterns with…

Pattern Formation and Solitons · Physics 2017-02-22 D. Hernández , E. C. Herrera-Hernández , M. Núñez-López , H. Hernández-Coronado