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Related papers: Swarming: hydrodynamic alignment with pressure

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Heterogeneity is ubiquitous in biological and synthetic active matter systems that are inherently out of equilibrium. Typically, such active mixtures involve not only conservative interactions between the constituents, but also…

Soft Condensed Matter · Physics 2024-12-20 Kim L. Kreienkamp , Sabine H. L. Klapp

We report on the dynamics of collective alignment in groups of the cichlid fish, Etroplus suratensis. Focusing on small-to-intermediate sized groups ($10<N<100$), we demonstrate that schooling (highly polarised and coherent motion) is…

Statistical Mechanics · Physics 2020-04-22 Jitesh Jhawar , Richard G. Morris , U. R. Amith-Kumar , M. Danny Raj , Harikrishnan R. , Vishwesha Guttal

We study how conservation laws shape the spreading of quantum coherence in many-body dynamics. Focusing on $U(1)$-symmetric random circuits, charge-and-dipole conserving circuits, as well as ergodic Hamiltonian dynamics, we probe coherences…

Quantum Physics · Physics 2026-04-28 Sreemayee Aditya , Emanuele Tirrito , Piotr Sierant , Xhek Turkeshi

We study the dynamics of condensation of the inclusion process on a one-dimensional periodic lattice in the thermodynamic limit, generalising recent results on finite lattices for symmetric dynamics. Our main focus is on totally asymmetric…

Statistical Mechanics · Physics 2015-06-30 Jiarui Cao , Paul Chleboun , Stefan Grosskinsky

We concentrate on kinetic models for swarming with individuals interacting through self-propelling and friction forces, alignment and noise. We assume that the velocity of each individual relaxes to the mean velocity. In our present case,…

Analysis of PDEs · Mathematics 2019-12-03 Mihaï Bostan , José Antonio Carrillo

Due to the combined effect of anisotropic interactions and activity, Janus swimmers are capable to self-assemble in a wide variety of structures, many more than their equilibrium counterpart. This might lead to the development of novel…

Soft Condensed Matter · Physics 2019-06-26 Francisco Alarcon , Eloy Navarro-Argemí , Chantal Valeriani , Ignacio Pagonabarraga

The fundamental derivation of macroscopic model equations to describe swarms based on microscopic movement laws and mathematical analyses into their self-organisation capabilities remains a challenge from the perspective of both modelling…

Analysis of PDEs · Mathematics 2022-07-25 Sara Bernardi , Gissell Estrada-Rodriguez , Heiko Gimperlein , Kevin J. Painter

We formulate a comprehensive hydrodynamic theory of two-dimensional liquid crystals with generic $p-$fold rotational symmetry, also known as $p-$atics, of which mematics $(p=2)$ and hexatics $(p=6)$ are the two best known examples. Previous…

Soft Condensed Matter · Physics 2022-08-17 Luca Giomi , John Toner , Niladri Sarkar

We consider an active Ising model in which spins both diffuse and align on lattice in one and two dimensions. The diffusion is biased so that plus or minus spins hop preferably to the left or to the right, which generates a flocking…

Statistical Mechanics · Physics 2013-09-09 A. Solon , J. Tailleur

Recently, non-reciprocal systems have become a focus of growing interest. Examples occur in soft and active matter, but also in engineered quantum materials and neural (brain) networks. Here, we investigate the impact of non-reciprocity on…

Soft Condensed Matter · Physics 2023-01-10 Kim L. Kreienkamp , Sabine H. L. Klapp

Background: Recent research in animal behaviour has contributed to determine how alignment, turning responses, and changes of speed mediate flocking and schooling interactions in different animal species. Here, we address specifically the…

Quantitative Methods · Quantitative Biology 2018-09-05 Andrea Perna , Guillaume Gregoire , Richard P. Mann

We develop the theory of canonical-dissipative systems, based on the assumption that both the conservative and the dissipative elements of the dynamics are determined by invariants of motion. In this case, known solutions for conservative…

Statistical Mechanics · Physics 2009-11-07 Frank Schweitzer , Werner Ebeling , Benno Tilch

The cohesive collective motion (flocking, swarming) of autonomous agents is ubiquitously observed and exploited in both natural and man-made settings, thus, minimal models for its description are essential. In a model with continuous space…

Statistical Mechanics · Physics 2015-01-12 Illes J. Farkas , Jeromos Kun , Yi Jin , Gaoqi He , Mingliang Xu

The depletion interaction mediated by non-adsorbing polymers promotes condensation and assembly of repulsive colloidal particles into diverse higher-order structures and materials. One example, with particularly rich emergent behaviors, is…

Soft Condensed Matter · Physics 2016-02-23 Louis Kang , Thomas Gibaud , Zvonimir Dogic , T. C. Lubensky

This article gives an overview of recent theoretical and experimental findings concerning the hydrodynamic interaction between liquid-embedded particles in various confined geometries. A simple unifying description emerges, which accounts…

Soft Condensed Matter · Physics 2009-04-12 Haim Diamant

The Euler-Poisson-Alignment (EPA) system appears in mathematical biology and is used to model, in a hydrodynamic limit, a set agents interacting through mutual attraction/repulsion as well as alignment forces. We consider one-dimensional…

Analysis of PDEs · Mathematics 2017-07-25 Alexander Kiselev , Changhui Tan

We develop a method of obtaining a hierarchy of new higher-order entropies in the context of compressible models with local and non-local diffusion and isentropic pressure. The local viscosity is allowed to degenerate as the density…

Analysis of PDEs · Mathematics 2019-08-07 Peter Constantin , Theodore D. Drivas , Roman Shvydkoy

Hypothesis: The collective dynamics and self-assembly of colloids floating at a fluid/fluid interface is a balance between deterministic lateral interaction forces, viscous resistance to colloid motion along the surface and thermal…

Soft Condensed Matter · Physics 2022-10-05 Archit Dani , Mohsen Yeganeh , Charles Maldarelli

In most models of collective motion in animal groups each individual updates its heading based on the current positions and headings of its neighbors. Several authors have investigated the effects of including anticipation into models of…

Quantitative Methods · Quantitative Biology 2021-11-23 Daniel Strömbom , Alice Antia

We investigate the hydrodynamic stability and the formation of patterns in a continuum model of epithelial layers, able to account for the interplay between mechanical activity, lateral adhesion and the $6-$fold orientational order…

Soft Condensed Matter · Physics 2025-02-19 Josep-Maria Armengol-Collado , Leonardo Puggioni , Livio N. Carenza , Luca Giomi
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