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Active matter systems may be characterised by the conversion of energy into active motion, e.g. the self-propulsion of microorganisms. Artificial active colloids form models which exhibit essential properties of more complex biological…

Soft Condensed Matter · Physics 2021-07-19 Abraham Mauleon-Amieva , Michael P. Allen , C. Patrick Royall

Magnetic skyrmions, topologically stable spin textures, have attracted significant interest due to their potential applications in information storage and processing. They are typically stabilized by the Dzyaloshinskii-Moriya interaction in…

Other Condensed Matter · Physics 2026-01-05 A. Vela Wac , F. A. Gómez Albarracín , D. C. Cabra

Although human beings have known about the phenomenon of "flocking"- that is, the coherent movement of large numbers of creatures (flocks of birds, schools of fish, herds of woolly mammoths, etc.)- since prehistoric times, it is only in the…

Soft Condensed Matter · Physics 2018-12-04 John Toner

We explicitly account for electron-electron interactions when modeling low-dimensional helical organic molecules. We show that competition between various hopping channels, together with interaction-induced double- and superexchange…

Strongly Correlated Electrons · Physics 2026-05-29 Jacek Herbrych , Maria Daghofer

Skyrmions are topological structures defined by a winding vector configuration that yields a quantized topological charge. In magnetic materials, skyrmions manifest as stable, mobile spin textures, positioning them at the forefront of…

Fluid-structure interactions between active and passive components are important for many biological systems to function. A particular example is chromatin in the cell nucleus, where ATP-powered processes drive coherent motions of the…

Soft Condensed Matter · Physics 2024-02-15 Scott Weady , David B. Stein , Alexandra Zidovska , Michael J. Shelley

Locomotion and transport of microorganisms in fluids is an essential aspect of life. Search for food, orientation toward light, spreading of off-spring, and the formation of colonies are only possible due to locomotion. Swimming at the…

Biological Physics · Physics 2015-05-26 Jens Elgeti , Roland G. Winkler , Gerhard Gompper

Magnetic skyrmions are topologically-protected spin textures with attractive properties suitable for high-density and low-power spintronic device applications. Much effort has been dedicated to understanding the dynamical behaviours of the…

Thanks to a constant energy input, active matter can self-assemble into phases with complex architectures and functionalities such as living clusters that dynamically form, reshape and break-up, which are forbidden in equilibrium materials…

Soft Condensed Matter · Physics 2019-03-27 Falko Schmidt , Benno Liebchen , Hartmut Löwen , Giovanni Volpe

The chapter presents some new approaches to describing the collective behavior of complex systems of mathematical biology based on the evolution equations of observables such as open systems. This representation of kinetic evolution has…

Mathematical Physics · Physics 2025-03-18 V. I. Gerasimenko

We derive the full set of macroscopic equations necessary to describe the dynamics of systems with active polar order in a viscoelastic or elastic background. The active polar order is manifested by a second velocity, whose non-zero modulus…

Soft Condensed Matter · Physics 2016-10-21 H. Pleiner , D. Svensek , H. R. Brand

Active matter has played a pivotal role in advancing our understanding of non-equilibrium systems, leading to a fundamental shift in the study of biophysical phenomena. The foundation of active matter research is built on assumptions…

Soft Condensed Matter · Physics 2025-06-09 Varun Venkatesh , Niels de Graaf Sousa , Amin Doostmohammadi

The topologically protected magnetic spin configurations known as skyrmions offer promising applications due to their stability, mobility and localization. In this work, we emphasize how to leverage the thermally driven dynamics of an…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 Daniele Pinna , Flavio Abreu Araujo , Joo-Von Kim , Vincent Cros , Damien Querlioz , Perre Bessiere , Jacques Droulez , Julie Grollier

Soft materials, such as colloidal suspensions, polymer solutions, and biological systems, are typically multicomponent mixtures of macromolecules and simpler components (e.g., microions, monomers, solvent) that can assemble into complex…

Soft Condensed Matter · Physics 2015-05-13 Alan R. Denton

We present a simple discrete model for the non-linear spatial interaction of different kinds of ``subpopulations'' composed of identical moving entities like particles, bacteria, individuals, etc. The model allows to mimic a variety of…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Tadeusz Platkowski

A wide range of experimental systems including gliding, swarming and swimming bacteria, in-vitro motility assays as well as shaken granular media are commonly described as self-propelled rods. Large ensembles of those entities display a…

Statistical Mechanics · Physics 2021-01-18 Markus Bär , Robert Großmann , Sebastian Heidenreich , Fernando Peruani

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

Turbulence is most commonly associated with high Reynolds number flow, however the framework of turbulent dynamics has been conceptually extended to many other fields, such as magnetohydrodynamic turbulence, elastic wave turbulence in…

Soft Condensed Matter · Physics 2026-03-05 Wilhelm Sunde Lie , Ingve Simonsen , Paul Gunnar Dommersnes

We propose the first Skyrmion Spin Ice, realized via confined, interacting liquid crystal skyrmions. Skyrmions in a chiral nematic liquid crystal behave as quasi-particles that can be dynamically confined, bound, and created or annihilated…

Soft Condensed Matter · Physics 2021-02-03 Ayhan Duzgun , Cristiano Nisoli

The emergence of long-range spatiotemporal order from intrinsic chaos is a central challenge in far-from-equilibrium physics. In active fluids, such as cytoskeletal networks driving cellular motion, self-generated flows typically produce…