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Related papers: Dynamic Scaling of Two-Dimensional Polar Flocks

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A model of self-driven particles similar to the Vicsek model [Phys. Rev. Lett. 75 (1995) 1226] but with metric-free interactions is studied by means of a novel Enskog-type kinetic theory. In this model, N particles of constant speed v0 try…

Statistical Mechanics · Physics 2012-08-21 Yen-Liang Chou , Rylan Wolfe , Thomas Ihle

Vortex blob methods are typically characterized by a regularization length scale, below which the dynamics are trivial for isolated blobs. In this article we observe that the dynamics need not be trivial if one is willing to consider…

Fluid Dynamics · Physics 2018-10-23 Darryl D. Holm , Henry O. Jacobs

We extend recent results on the exact hydrodynamics of a system of diffusive active particles displaying a motility-induced phase separation to account for typical fluctuations of the dynamical fields. By calculating correlation functions…

Statistical Mechanics · Physics 2021-08-26 Tal Agranov , Sunghan Ro , Yariv Kafri , Vivien Lecomte

Simulations of over $10^3$ hydrodynamically coupled solid spheres are performed to investigate collective motion of linear trains and regular square arrays of particles suspended in a fluid bounded by two parallel walls. Our novel…

Soft Condensed Matter · Physics 2008-04-29 M. Baron , J. Blawzdziewicz , E. Wajnryb

We investigate the stability of self-propelled particle flocks in the Taylor-Green vortex, a steady vortical flow. We consider a model where particles align themselves to a combination of the orientation and the acceleration of particles…

Biological Physics · Physics 2016-07-13 Andrew W. Baggaley

We undertake a systematic numerical exploration of self-organized states in a deterministic model of interacting self-propelled particles in two dimensions. In the process, we identify various types of collective motion, namely, disordered…

Statistical Mechanics · Physics 2015-03-19 Jihad Touma , Amer Shreim , Leonid Klushin

The stability properties and splitting dynamics of multiply quantized vortices are the subject of interest in both theoretical and experimental investigations. Going beyond the regime of validity of Gross-Pitaevskii equation (GPE), we study…

High Energy Physics - Theory · Physics 2025-05-27 Yuping An , Li Li

We formally extend the energy landscape approach for the thermodynamics of liquids to account for saddle points. By considering the extensive nature of macroscopic potential energies, we derive the scaling behavior of saddles with system…

Soft Condensed Matter · Physics 2009-11-10 M. S. Shell , P. G. Debenedetti , A. Z. Panagiotopoulos

Self-propelled particles with hydrodynamic interactions (microswimmers) have previously been shown to produce long-range ordering phenomena. Many theoretical explanations for these collective phenomena are connected to instabilities in the…

Soft Condensed Matter · Physics 2017-05-03 Yuzhou Qian , Peter R. Kramer , Patrick T. Underhill

How do flocks, herds and swarms proceed through disordered environments? This question is not only crucial to animal groups in the wild, but also to virtually all applications of collective robotics, and active materials composed of…

Soft Condensed Matter · Physics 2016-10-17 Alexandre Morin , Nicolas Desreumaux , Jean-Baptiste Caussin , Denis Bartolo

We include the effects of anisotropy and polarization in the hydrodynamics of inhomogeneous vortex tangles, thus generalizing the well known Hall-Vinen-Bekarevich-Khalatnikov equations, which do not take them in consideration. These effects…

Other Condensed Matter · Physics 2010-08-27 David Jou , Maria Stella Mongiovì , Michele Sciacca

Quasi two-dimensional pattern forming systems with spontaneously broken isotropy represent a novel symmetry class, that is experimentally accessible in electroconvection of homeotropically aligned liquid crystals. We present a weakly…

patt-sol · Physics 2009-10-30 A. G. Rossberg , A. Hertrich , L. Kramer , W. Pesch

In the high persistence regime of non-inertial active Brownian particles (ABP), polarization becomes a relevant dynamical field. Based on a recently proposed kinetic description for ABP, we derive Navier-Stokes-like equations for the…

Soft Condensed Matter · Physics 2025-10-21 Martín Pinto-Goldberg , Rodrigo Soto

Continuum hydrodynamic models of active liquid crystals have been used to describe dynamic self-organising systems such as bacterial swarms and cytoskeletal gels. A key prediction of such models is the existence of self-stabilising kink…

Soft Condensed Matter · Physics 2009-11-13 S. A. Edwards , J. M. Yeomans

We modify the standard Vicsek model to clearly distinguish between intrinsic noise due to imperfect alignment between organisms, and extrinsic noise due to fluid motion. We then consider the effect of a steady vortical flow, the Taylor…

Biological Physics · Physics 2015-06-11 Andrew W. Baggaley

We describe a generic theoretical framework, denoted as the Boltzmann-Ginzburg-Landau approach, to derive continuous equations for the polar and/or nematic order parameters describing the large scale behavior of assemblies of point-like…

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

We describe a one-dimensional self-gravitating system derived from the problem of large-scale structure formation in cosmology. Considering small times so that the expansion can be neglected we present a thermodynamical analysis of this…

Astrophysics · Physics 2009-11-11 Patrick Valageas

Most of dynamic systems which exhibit chaotic behavior are also known to posses self-similarity and manifest strong fluctuations of all possible scales.The meaning of this terms is not always same. In present note we make an attempt to…

chao-dyn · Physics 2016-08-31 Mikhail V. Altaisky

Strongly confined active liquids are subject to unique hydrodynamic interactions due to momentum screening and lubricated friction by the confining walls. Using numerical simulations, we demonstrate that 2D dilute suspensions of fore-aft…

Soft Condensed Matter · Physics 2015-06-16 Adrien Lefauve , David Saintillan

We study the moving phase of two-dimensional (2D) incompressible polar active fluids in the presence of both quenched and annealed disorder. We show that long-range polar order persists even in this defect-ridden two-dimensional system. We…

Soft Condensed Matter · Physics 2022-11-04 Leiming Chen , Chiu Fan Lee , Ananyo Maitra , John Toner