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The state of a classical point-particle system may often be specified by giving the position and momentum for each constituent particle. For non-pointlike particles, the center-of-mass position may be augmented by an additional coordinate…

Statistical Mechanics · Physics 2023-08-02 Rahil N. Valani , David M. Paganin

The field of synthetic active matter has, thus far, been led by efforts to create point-like, isolated (yet interacting) self-propelled objects (\emph{e.g.} colloids, droplets, microrobots) and understanding their collective dynamics. The…

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

Hardly any real self-propelling or actively driven object is perfect. Thus, undisturbed motion will generally not follow straight lines but rather circular trajectories. We here address self-propelled or actively driven objects that move in…

Soft Condensed Matter · Physics 2022-12-13 Andreas M. Menzel

Active matter comprised of self-propelled interacting units holds a major promise for extraction of useful work from its seemingly chaotic out-of-equilibrium dynamics. Streamlining active matter to produce work is especially important at…

Soft Condensed Matter · Physics 2021-03-17 Mojtaba Rajabi , Hend Baza , Taras Turiv , Oleg D. Lavrentovich

Active matter comprises individual units that convert energy into mechanical motion. In many examples, such as bacterial systems and biofilament assays, constituent units are elongated and can give rise to local nematic orientational order.…

Soft Condensed Matter · Physics 2020-11-17 He Li , Xia-qing Shi , Mingji Huang , Xiao Chen , Mingfeng Xiao , Chenli Liu , Hugues Chate , H. P. Zhang

Collective rotations are common in active matter, enhancing cohesion, transport, and mixing. They are typically attributed to chiral non-reciprocal dynamics due to intrinsic particle chirality, torque-generating interactions among units, or…

Soft Condensed Matter · Physics 2026-04-20 Maks Pečnik Bambič , Nuno A. M. Araújo , Giorgio Volpe

Understanding how microscopic motility shapes emergent collective behaviors is a challenging task in active matter, especially when self-propulsion is regulated by external cues or via quorum-sensing interactions. To address this problem,…

Statistical Mechanics · Physics 2026-04-13 Alberto Dinelli , Pietro Luigi Muzzeddu

Active nematics are out-of-equilibrium systems in which energy injection at the microscale drives emergent collective behaviors, from spontaneous flows to active turbulence. While the dynamics of these systems have been extensively studied,…

Soft Condensed Matter · Physics 2025-04-15 Ahmet Umut Akduman , Yusuf Sariyar , Giuseppe Negro , Livio Nicola Carenza

Active systems are driven out of equilibrium by exchanging energy and momentum with their environment. This endows them with anomalous mechanical properties that we review in this colloquium for the case of dry scalar active matter, which…

Soft Condensed Matter · Physics 2025-01-20 Omer Granek , Yariv Kafri , Mehran Kardar , Sunghan Ro , Alexandre Solon , Julien Tailleur

Anomalous diffusion, manifest as a nonlinear temporal evolution of the position mean square displacement, and/or non-Gaussian features of the position statistics, is prevalent in biological transport processes. Likewise, collective behavior…

Statistical Mechanics · Physics 2020-04-01 Andrea Cairoli , Chiu Fan Lee

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…

Active matter has been intensely studied for its wealth of intriguing properties such as collective motion, motility-induced phase separation (MIPS), and giant fluctuations away from criticality. However, the precise connection of active…

Statistical Mechanics · Physics 2019-04-17 Juliane U. Klamser , Sebastian C. Kapfer , Werner Krauth

Many active biological particles, such as swimming microorganisms or motor-proteins, do work on their environment by going though a periodic sequence of shapes. Interactions between particles can lead to the phase-synchronization of their…

Soft Condensed Matter · Physics 2022-07-26 Brato Chakrabarti , Michael J. Shelley , Sebastian Fürthauer

Active colloids are microscopic particles, which self-propel through viscous fluids by converting energy extracted from their environment into directed motion. We first explain how articial microswimmers move forward by generating…

Soft Condensed Matter · Physics 2016-05-12 Andreas Zöttl , Holger Stark

Active matter consumes energy from the environment and transforms it into mechanical work. Notable examples from biology include cell division, bacterial swarms, and muscle contraction. In this work, we investigate the nature of active…

Soft Condensed Matter · Physics 2023-09-28 Michael J. Landry

Large-scale collective behavior in suspensions of many particles can be understood from the balance of statistical forces emerging beyond the direct microscopic particle interactions. Here we review some aspects of the collective forces…

Statistical Mechanics · Physics 2020-10-19 Thomas Speck

In amorphous solids subject to shear or thermal excitation, so-called structural indicators have been developed that predict locations of future plasticity or particle rearrangements. An open question is whether similar tools can be used in…

Soft Condensed Matter · Physics 2022-01-31 Julia A. Giannini , Ethan M. Stanifer , M. Lisa Manning

Understanding the out-of-equilibrium properties of noisy microscale systems and the extent to which they can be modulated externally, is a crucial scientific and technological challenge. It holds the promise to unlock disruptive new…

Soft Condensed Matter · Physics 2022-09-21 Stephen Williams , Raphaël Jeanneret , Idan Tuval , Marco Polin

Polar active matter - including animal herds, aggregates of motile cells and active colloids - often forms coordinated migration patterns, such as flocking. This orderly motion can be disrupted by full-integer topological defects…

Soft Condensed Matter · Physics 2026-05-26 Luiza Angheluta , Anna Lång , Emma Lång , Stig Ove Bøe

A paradigm for internally driven matter is the active nematic liquid crystal, whereby the equations of a conventional nematic are supplemented by a minimal active stress that violates time reversal symmetry. In practice, active fluids may…

Soft Condensed Matter · Physics 2015-12-15 E. J. Hemingway , A. Maitra , S. Banerjee , M. C. Marchetti , S. Ramaswamy , S. M. Fielding , M. E. Cates
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