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Swimmers and self-propelled particles are physical models for the collective behaviour and motility of a wide variety of living systems, such as bacteria colonies, bird flocks and fish schools. Such artificial active materials are amenable…

Differently from passive Brownian particles, active particles, also known as self-propelled Brownian particles or microswimmers and nanoswimmers, are capable of taking up energy from their environment and converting it into directed motion.…

In this book chapter we describe recent applications of artificial intelligence and in particular machine learning to active matter systems. Active matter is composed of agents, or particles, that are capable of propelling themselves. While…

Soft Condensed Matter · Physics 2025-01-16 Hartmut Löwen , Benno Liebchen

Mixtures of active and passive particles are ubiquitous at the microscale. Many essential microbial processes involve interactions with dead or immotile cells or passive crowders. When passive objects are immersed in active baths, their…

Soft Condensed Matter · Physics 2026-02-24 Horacio Serna , C. Miguel Barriuso G. , Ignacio Pagonabarraga , Marco Polin , Chantal Valeriani

Active systems -- including sperm cells, living organisms like bacteria, fish, birds, or active soft matter systems like synthetic ''microswimmers'' -- are characterized by motility, i.e., the ability to propel using their own ''engine''.…

Soft Condensed Matter · Physics 2024-04-09 V. R. Misko , L. Baraban , D. Makarov , T. Huang , P. Gelin , I. Mateizel , K. Wouters , N. De Munck , F. Nori , W. De Malsche

Active particles contain internal degrees of freedom with the ability to take in and dissipate energy and, in the process, execute systematic movement. Examples include all living organisms and their motile constituents such as molecular…

Soft Condensed Matter · Physics 2015-05-18 Sriram Ramaswamy

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

Micron-sized self-propelled (active) particles can be considered as model systems for characterizing more complex biological organisms like swimming bacteria or motile cells. We produce asymmetric microswimmers by soft lithography and study…

We demonstrate with experiments and simulations how microscopic self-propelled particles navigate through environments presenting complex spatial features, which mimic the conditions inside cells, living organisms and future lab-on-a-chip…

Biological Physics · Physics 2011-09-22 Giovanni Volpe , Ivo Buttinoni , Dominik Vogt , Hans-Juergen Kuemmerer , Clemens Bechinger

Spontaneous segregation of run-and-tumble particles with different velocities in microchannels is investigated by numerical simulations. Self-propelled particles are known to accumulate in the proximity of walls. Here we show how fast…

Soft Condensed Matter · Physics 2014-09-05 Andrea Costanzo , Jens Elgeti , Thorsten Auth , Gerhard Gompper , Marisol Ripoll

The term active matter describes diverse systems, spanning macroscopic (e.g. shoals of fish and flocks of birds) to microscopic scales (e.g. migrating cells, motile bacteria and gels formed through the interaction of nanoscale molecular…

Soft Condensed Matter · Physics 2010-03-11 Gautam I. Menon

Active matter systems, from self-propelled colloids to motile bacteria, are characterized by the conversion of free energy into useful work at the microscopic scale. They involve physics beyond the reach of equilibrium statistical…

Statistical Mechanics · Physics 2024-06-18 Nicholas M. Boffi , Eric Vanden-Eijnden

Active matter comprises self-driven units, such as bacteria and synthetic microswimmers, that can spontaneously form complex patterns and assemble into functional microdevices. These processes are possible thanks to the out-of-equilibrium…

Soft Condensed Matter · Physics 2021-11-17 Jens Grauer , Falko Schmidt , Jesus Pineda , Benjamin Midtvedt , Hartmut Löwen , Giovanni Volpe , Benno Liebchen

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

Active systems, or active matter, are self-driven systems which live, or function, far from equilibrium - a paradigmatic example which we focus on here is provided by a suspension of self-motile particles. Active systems are far from…

Soft Condensed Matter · Physics 2015-05-19 Giuseppe Gonnella , Davide Marenduzzo , Antonio Suma , Adriano Tiribocchi

In the last decade, the study of pressure in active matter has attracted growing attention due to its fundamental relevance to nonequilibrium statistical physics. Active matter systems are composed of particles that consume energy to…

Soft Condensed Matter · Physics 2025-08-14 Guo Yu , Ruiyao Li , Fukang Li , Jiayu Zhang , Xiyue Li , Zequ Chen , Joscha Mecke , Yongxiang Gao

Controlled activity of active entities interacting with a passive environment can generate emergent system-level phenomena, positioning such systems as promising platforms for potential downstream applications in targeted drug delivery,…

Soft Condensed Matter · Physics 2025-10-07 Thomas Jacob , Siddhant Mohapatra , Rajalingam A , Sam Mathew , Pallab Sinha Mahapatra

Selecting active matter based on its motility represents a challenging task, as it requires different approaches than common separation techniques intended for separation based on, e.g., size, shape, density, and flexibility. This…

Soft Condensed Matter · Physics 2025-06-02 Vyacheslav R. Misko , Franco Nori , Wim De Malsche

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

Active matter exhibits various forms of non-equilibrium states in the absence of external forcing, including macroscopic steady-state currents. Such states are often too complex to be modelled from first principles and our understanding of…

Soft Condensed Matter · Physics 2020-09-17 Viktor Škultéty , Cesare Nardini , Joakim Stenhammar , Davide Marenduzzo , Alexander Morozov
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