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Related papers: Active crystals and their stability

200 papers

A microscopic field theory for crystallization in active systems is proposed which unifies the phase-field-crystal model of freezing with the Toner-Tu theory for self-propelled particles. A wealth of different active crystalline states are…

Soft Condensed Matter · Physics 2013-11-20 Andreas M. Menzel , Hartmut Löwen

Motivated by the experimental ability to produce monodisperse particles in microfluidic devices, we study theoretically the hydrodynamic stability of driven and active crystals. We first recall the theoretical tools allowing to quantify the…

Soft Condensed Matter · Physics 2012-09-06 Nicolas Desreumaux , Nicolas Florent , Eric Lauga , Denis Bartolo

Via mechanisms not accessible at equilibrium, self-propelled particles can form phases with positional order, such as crystals, and with orientational order, such as polar flocks. However, the interplay between these two types of order…

Soft Condensed Matter · Physics 2025-08-13 Till Welker , Ricard Alert

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…

We study the dynamics of small fluctuations about the uniform state of a crystal moving through a dissipative medium, e.g. a sedimenting colloidal crystal or a moving flux lattice, using a set of continuum equations for the displacement…

Condensed Matter · Physics 2009-10-28 Rangan Lahiri , Sriram Ramaswamy

We study a crystal composed of active units governed by self-alignment and chirality. The first mechanism acts as an effective torque that aligns the particle orientation with its velocity, while the second drives individual particles along…

Soft Condensed Matter · Physics 2025-11-14 Marco Musacchio , Alexander P. Antonov , Hartmut Löwen , Lorenzo Caprini

Spontaneous self-assembly of hard convex polyhedra are known to form orientationally disordered crystalline phases, where particle orientations do not follow the same pattern as the positional arrangement of the crystal. A distinct type of…

Soft Condensed Matter · Physics 2024-12-02 Sumitava Kundu , Kaustav Chakraborty , Avisek Das

The active phase-field-crystal (active PFC) model provides a simple microscopic mean field description of crystallization in active systems. It combines the PFC model (or conserved Swift-Hohenberg equation) of colloidal crystallization and…

Soft Condensed Matter · Physics 2021-03-10 Lukas Ophaus , Edgar Knobloch , Svetlana V. Gurevich , Uwe Thiele

We consider a coarse-grained description of a system of self-propelled particles given by hydrodynamic equations for the density and polarization fields. We find that the ordered moving or flocking state of the system is unstable to spatial…

Statistical Mechanics · Physics 2013-05-29 Shradha Mishra , Aparna Baskaran , M. Cristina Marchetti

Active hydrodynamic theories are a powerful tool to study the emergent ordered phases of internally driven particles such as bird flocks, bacterial suspension and their artificial analogues. While theories of orientationally ordered phases…

Soft Condensed Matter · Physics 2019-03-06 Ananyo Maitra , Martin Lenz

We experimentally and numerically study the structure and dynamics of a mono-disperse packing of spontaneously aligning self-propelled hard disks. The packings are such that their equilibrium counterparts form perfectly ordered hexagonal…

Soft Condensed Matter · Physics 2018-05-23 Guillaume Briand , Michael Schindler , Olivier Dauchot

There are rich emergent phase behaviors in non-equilibrium active systems. Flocking and clustering are two representative dynamic phases. The relationship between these two phases is still unclear. In the paper, we numerically investigate…

Soft Condensed Matter · Physics 2023-08-09 Lu Chen , Bokai Zhang , Z. C. Tu

We investigate the transport of interacting active run-and-tumble particles moving under an external drift force through a periodic array of obstacles for increasing drive amplitudes. For high activity where the system forms a motility…

Soft Condensed Matter · Physics 2024-04-23 C. Reichhardt , C. J. O. Reichhardt

Two-dimensional crystals on curved manifolds exhibit nontrivial defect structures. Here, we consider "active crystals" on a sphere, which are composed of self-propelled colloidal particles. Our work is based on a new…

Soft Condensed Matter · Physics 2018-05-30 Simon Praetorius , Axel Voigt , Raphael Wittkowski , Hartmut Löwen

We study a two-dimensional crystal composed of active units governed by self-alignment. This mechanism induces a torque that aligns a particle's orientation with its velocity and leads to a phase transition from a disordered to a flocking…

Soft Condensed Matter · Physics 2025-06-17 Marco Musacchio , Alexander P. Antonov , Hartmut Löwen , Lorenzo Caprini

Actively propelled particles undergoing dissipative collisions are known to develop a state of spatially distributed coherently moving clusters. For densities larger than a characteristic value clusters grow in time and form a stationary…

Soft Condensed Matter · Physics 2013-04-23 Christoph A. Weber , Florian Thüroff , Erwin Frey

Active crystals are highly ordered structures that emerge from the self-organization of motile objects, and have been widely studied in synthetic and bacterial active matter. Whether collective crystallization phenomena can occur in groups…

We investigate a 2D dynamical absorbing state model of monodisperse disks, in which rich phase behavior arises from interactions consisting solely of repulsive displacements between overlapping particles. The phase diagram reveals several…

Soft Condensed Matter · Physics 2025-12-23 Ashley Z. Guo , Sam Wilken , Dov Levine , Paul M. Chaikin

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

Active solids emerge from self-actuating components interacting with each other to form crystalline patterns. In equilibrium, commensurability underpins our understanding of nanoscale friction and particle-level dynamics of crystals.…

Soft Condensed Matter · Physics 2023-11-09 Abraham Mauleon-Amieva , Tanniemola B. Liverpool , Ian Williams , Anton Souslov , C. Patrick Royall
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