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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

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

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

The hydrodynamic theory of active nematics has been often used to describe the spatio-temporal dynamics of cell flows and motile topological defects within soft confluent tissues. Those theories, however, often rely on the assumption that…

Soft Condensed Matter · Physics 2023-08-15 Ioannis Hadjifrangiskou , Liam J. Ruske , Julia M. Yeomans

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

In these Lecture Notes we aim at clarifying how soft matter physics, and herein notably statistical mechanics and fluid mechanics, can be engaged to understand and manipulate non-equilibrium systems consisting of numerous (microscopic)…

Soft Condensed Matter · Physics 2025-05-27 Jean-François Joanny , Joseph O. Indekeu

As the study of active matter has developed into one of the most rapidly growing subfields of condensed matter physics, more and more kinds of physical systems have been included in this framework. While the word 'active' is often thought…

Soft Condensed Matter · Physics 2025-07-30 Michael te Vrugt , Benno Liebchen , Michael E. Cates

The term active nematics designates systems in which apolar elongated particles spend energy to move randomly along their axis and interact by inelastic collisions in the presence of noise. Starting from a simple Vicsek-style model for…

Statistical Mechanics · Physics 2014-06-17 Eric Bertin , Hugues Chaté , Francesco Ginelli , Shradha Mishra , Anton Peshkov , Sriram Ramaswamy

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

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

In this review we summarize theoretical progress in the field of active matter, placing it in the context of recent experiments. Our approach offers a unified framework for the mechanical and statistical properties of living matter:…

Soft Condensed Matter · Physics 2012-07-13 M. C. Marchetti , J. -F. Joanny , S. Ramaswamy , T. B. Liverpool , J. Prost , Madan Rao , R. Aditi Simha

Active matter concerns many-body systems comprised of living or self-driven agents that collectively exhibit macroscopic phenomena distinct from conventional passive matter. Using Schwinger-Keldysh effective field theory, we develop a novel…

Soft Condensed Matter · Physics 2025-11-07 Jay Armas , Akash Jain , Ruben Lier

We review recent progress and a number of future directions for applications of effective field theory methods to condensed matter systems broadly defined. Our emphasis is on areas that have allowed a fertile exchange of ideas between high…

High Energy Physics - Theory · Physics 2022-03-22 Tomas Brauner , Sean A. Hartnoll , Pavel Kovtun , Hong Liu , Márk Mezei , Alberto Nicolis , Riccardo Penco , Shu-Heng Shao , Dam Thanh Son

Dense, active systems show active turbulence, a state characterised by flow fields that are chaotic, with continually changing velocity jets and swirls. Here we review our current understanding of active turbulence. The development is…

Soft Condensed Matter · Physics 2016-08-03 Sumesh P. Thampi , Julia M. Yeomans

Active nematics are microscopically driven liquid crystals that exhibit dynamical steady states characterized by the creation and annihilation of topological defects. Motivated by experimental realizations of such systems made of biopolymer…

Soft Condensed Matter · Physics 2018-09-05 Abhijeet Joshi , Elias Putzig , Aparna Baskaran , Michael Hagan

Breakdown of time-reversal symmetry is a defining property of non-equilibrium systems, such as active matter, which is composed of units that consume energy. We employ a formalism that allows us to derive a class of identities associated…

Statistical Mechanics · Physics 2025-09-26 Martin Kjøllesdal Johnsrud , Ramin Golestanian

The spontaneous creation of disclinations is a defining characteristic of active nematics, which is rarely observed in equilibrium systems or other active matter systems. Thus, understanding the mechanics of disclinations is crucial for…

Soft Condensed Matter · Physics 2025-07-01 Yingyou Ma , Christopher Amey , Aparna Baskaran , Michael F. Hagan

Active nematics are dense systems of rodlike particles that consume energy to drive motion at the level of the individual particles. They exist in natural systems like biological tissues and artificial materials such as suspensions of…

Soft Condensed Matter · Physics 2023-12-14 Yunrui Li , Zahra Zarei , Phu N. Tran , Yifei Wang , Aparna Baskaran , Seth Fraden , Michael F. Hagan , Pengyu Hong

Active systems, which are driven out of equilibrium by local non-conservative forces, exhibit unique behaviors and structures with potential utility for the design of novel materials. An important and difficult challenge along the path…

Soft Condensed Matter · Physics 2022-08-09 Laura Tociu , Gregory Rassolov , Étienne Fodor , Suriyanarayanan Vaikuntanathan

Being intrinsically nonequilibrium, active materials can potentially perform functions that would be thermodynamically forbidden in passive materials. However, active systems have diverse local attractors that correspond to distinct…

Soft Condensed Matter · Physics 2024-10-16 Saptorshi Ghosh , Aparna Baskaran , Michael F. Hagan
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