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Activity and autonomous motion are fundamental in living and engineering systems. This has stimulated the new field of active matter in recent years, which focuses on the physical aspects of propulsion mechanisms, and on motility-induced…

Active matter, comprising many active agents interacting and moving in fluids or more complex environments, is a commonly occurring state of matter in biological and physical systems. By its very nature active matter systems exist in…

Soft Condensed Matter · Physics 2021-02-08 Pierre Gaspard , Raymond Kapral

Active networks made of biopolymers and motor proteins are valuable bioinspired systems that have been used in the last decades to study the cytoskeleton and its self-organization under mechanical stimulation. Different techniques are…

Soft Condensed Matter · Physics 2023-05-15 Vahid Nasirimarekani , Olinka Ramìrez-Soto , Stefan Karpitschka , Isabella Guido

These lecture notes are designed to provide a brief introduction into the phenomenology of active matter and to present some of the analytical tools used to rationalize the emergent behavior of active systems. Such systems are made of…

Soft Condensed Matter · Physics 2018-07-02 Étienne Fodor , M. Cristina Marchetti

Catalytically active colloids maintain non-equilibrium conditions in which they produce and deplete chemicals and hence effectively act as sources and sinks of molecules. While individual colloids that are symmetrically coated do not…

Soft Condensed Matter · Physics 2015-06-11 Rodrigo Soto , Ramin Golestanian

Active systems contain self-propelled particles and can spontaneously self-organize into patterns making them attractive candidates for the self-assembly of smart soft materials. One key limitation of our present understanding of these…

Soft Condensed Matter · Physics 2018-12-04 Benno Liebchen , Ran Niu , Thomas Palberg , Hartmut Löwen

Microscopic active droplets are able to swim autonomously in viscous flows: this puzzling feature stems from solute exchanges with the surrounding fluid via surface reactions or their spontaneous solubilisation, and the interfacial flows…

Fluid Dynamics · Physics 2022-12-01 Sebastien Michelin

Active fluids generate spontaneous, often chaotic mesoscale flows. Harnessing these flows to drive embedded soft materials into structures with controlled length scales and lifetimes is a key challenge at the interface between the fields of…

Soft Condensed Matter · Physics 2025-02-19 Layne B. Frechette , Aparna Baskaran , Michael F. Hagan

The past two decades have seen a remarkable progress in the development of synthetic colloidal agents which are capable of creating directed motion in an unbiased environment at the microscale. These self-propelling particles are often…

Soft Condensed Matter · Physics 2023-02-10 Benno Liebchen , Aritra K. Mukhopadhyay

Active matter exhibits striking behaviour reminiscent of living matter and molecular fluids, and has promising applications in drug delivery or mixing at the micron scale. Active colloidal systems provide important models with simple and…

Soft Condensed Matter · Physics 2020-10-09 Nariaki Sakaï , C. Patrick Royall

Active matter classifies systems consisting of self-propelled units which convert the energy stored locally or extracted from their environment into directed motion. It has recently attracted considerable attention due to rich new physics…

Plasma Physics · Physics 2026-04-09 Volodymyr Nosenko

Recent studies aimed at investigating artificial analogs of bacterial colonies have shown that low-density suspensions of self-propelled particles confined in two dimensions can assemble into finite aggregates that merge and split, but have…

Soft Condensed Matter · Physics 2015-06-17 B. M. Mognetti , A. Šarić , S. Angioletti-Uberti , A. Cacciuto , C. Valeriani , D. Frenkel

Elastic active matter or active solid consists of self-propelled units embedded in an elastic matrix. Active solid resists deformation; the shape-preserving property and the intrinsic non-equilibrium nature make active solids a superior…

Soft Condensed Matter · Physics 2023-02-01 Haoran Xu , Yulu Huang , Rui Zhang , Yilin Wu

Cells and microorganisms employ dynamic shape changes to enable steering and avoidance for efficient spatial exploration and collective organization. In contrast, active colloids, their synthetic counterparts, currently lack similar…

Soft Condensed Matter · Physics 2025-01-03 Stefania Ketzetzi , Lorenzo Caprini , Vivien Willems , Laura Alvarez , Hartmut Löwen , Lucio Isa

The study of systems with sustained energy uptake and dissipation at the scale of the constituent particles is an area of central interest in nonequilibrium statistical physics. Identifying such systems as a distinct category -- Active…

Statistical Mechanics · Physics 2017-06-07 Sriram Ramaswamy

We review recent work on active colloids or swimmers, such as self-propelled microorganisms, phoretic colloidal particles, and artificial micro-robotic systems, moving in fluid-like environments. These environments can be water-like and…

Biological Physics · Physics 2016-02-09 Alison E. Patteson , Arvind Gopinath , Paulo E. Arratia

Surface-driven flows are ubiquitous in nature, from subcellular cytoplasmic streaming to organ-scale ciliary arrays. Here, we model how confined geometries can be used to engineer complex hydrodynamic patterns driven by activity prescribed…

Biological Physics · Physics 2020-04-06 Xingting Gong , Arnold Mathijssen , Zev Bryant , Manu Prakash

For collections of particles in a thermal bath interacting with an asymmetric substrate, it is possible for a ratchet effect to occur where the particles undergo a net dc motion in response to an ac forcing. Ratchet effects have been…

Statistical Mechanics · Physics 2015-05-28 C. J. Olson Reichhardt , J. Drocco , T. Mai , M. B. Wan , C. Reichhardt

In living cells, molecular motors create activity that enhances the diffusion of particles throughout the cytoplasm, and not just ones attached to the motors. We demonstrate initial steps toward creating artificial cells that mimic this…

Soft Condensed Matter · Physics 2019-05-01 Viva R. Horowitz , Zachary C. Chambers , İrep Gözen , Thomas G. Dimiduk , Vinothan N. Manoharan

Biological systems achieve precise control over ambient fluids through the self-organization of active protein structures including flagella, cilia, and cytoskeletal networks. In active structures individual proteins consume chemical energy…