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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…

软凝聚态物质 · 物理学 2022-11-04 Leiming Chen , Chiu Fan Lee , Ananyo Maitra , John Toner

We study the spatio-temporal dynamics of a model of polar active fluid in two dimensions. The system exhibits a transition from an isotropic to a polarized state as a function of density. The uniform polarized state is, however, unstable…

软凝聚态物质 · 物理学 2011-12-08 Luca Giomi , M. Cristina Marchetti

We present a hydrodynamic theory of incompressible polar active fluids with quenched disorder. This theory shows that such fluids can overcome the disruption caused by the quenched disorder and move coherently, in the sense of having a…

软凝聚态物质 · 物理学 2022-11-04 Leiming Chen , Chiu Fan Lee , Ananyo Maitra , John Toner

Dry active matter in an anisotropic medium is of experimental relevance, and the interplay between anisotropy and the dynamics of the active matter remains under-explored. Here, we derive the hydrodynamic equations of a generic dry polar…

软凝聚态物质 · 物理学 2025-07-22 Leiming Chen , Chiu Fan Lee , John Toner

We study universal behavior in the moving phase of a generic system of motile particles with alignment interactions in the incompressible limit for spatial dimensions $d>2$. Using a dynamical renormalization group analysis, we obtain the…

软凝聚态物质 · 物理学 2018-11-28 Leiming Chen , Chiu Fan Lee , John Toner

An analytical model for three-dimensional incompressible turbulence was recently introduced in the hydrodynamics community which, with only a few parameters, shares many properties of experimental and numerical turbulence, notably…

星系天体物理 · 物理学 2021-01-13 J. -B. Durrive , K. Ferrière , P. Lesaffre

We show that incompressible polar active fluids can exhibit an ordered, coherently moving phase even in the presence of quenched disorder in two dimensions. Unlike such active fluids with annealed (i.e., time-dependent) disorder only, which…

软凝聚态物质 · 物理学 2022-11-04 Leiming Chen , Chiu Fan Lee , Ananyo Maitra , John Toner

Active polar fluids exhibit spontaneous flow when sufficient active stress is generated by internal molecular mechanisms. This is also referred to as an active Fr\'{e}edericksz transition. Experiments have revealed the existence of…

软凝聚态物质 · 物理学 2023-10-17 Abhinav Singh , Quentin Vagne , Frank Jülicher , Ivo F. Sbalzarini

We consider the physical setup of a three-dimensional fluid-structure interaction problem. A viscous compressible gas or liquid interacts with a nonlinear, visco-elastic, three-dimensional bulk solid. The latter is described by a hyperbolic…

偏微分方程分析 · 数学 2021-08-09 Dominic Breit , Malte Kampschulte , Sebastian Schwarzacher

Active fluids and growing interfaces are two well-studied but very different non-equilibrium systems. Each exhibits non-equilibrium behavior quite different from that of their equilibrium counterparts. Here we demonstrate a surprising…

软凝聚态物质 · 物理学 2016-08-09 Leiming Chen , Chiu Fan Lee , John Toner

We consider the hydrodynamic theory of an active fluid of self-propelled particles with nematic aligning interactions. This class of materials has polar symmetry at the microscopic level, but forms macrostates of nematic symmetry. We…

软凝聚态物质 · 物理学 2012-04-17 Aparna Baskaran , M. Cristina Marchetti

Differential buoyancy surface sources in the ocean may induce a density-driven flow that joins faster flow components to create a multi-scale, 3D flow. Potential temperature and salinity are active tracers that determine the ocean's…

地球物理 · 物理学 2022-08-10 Ori Saporta-Katz , Edriss S. Titi , Hezi Gildor , Vered Rom-Kedar

Hydrodynamics is nowadays understood as an effective field theory that describes the dynamics of the long-wavelength and slow-time fluctuations of an underlying microscopic theory. In this work we extend the relativistic hydrodynamics to…

高能物理 - 理论 · 物理学 2020-05-27 Saulo M. Diles , Luis A. H. Mamani , Alex S. Miranda , Vilson T. Zanchin

We construct a coarse-grained effective two-dimensional (2d) hydrodynamic theory as a theoretical model for a coupled system of a fluid membrane and a thin layer of a polar active fluid in its ordered state that is anchored to the membrane.…

软凝聚态物质 · 物理学 2012-11-15 Niladri Sarkar , Abhik Basu

We consider the phase behavior of two-dimensional ($2D$)system of particles with an isotropic core-softened potential introduced in our previous publications. As one can expect from the qualitative consideration for the three dimensional…

软凝聚态物质 · 物理学 2015-06-18 D. E. Dudalov , Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov

In this work, we consider the interaction of a 3D incompressible fluid with a 2D flexible shell that occupies (a part of) the boundary of the fluid domain. We assume that the shell is perfectly elastic while the fluid is governed by the…

偏微分方程分析 · 数学 2026-05-15 Dominic Breit , Prince Romeo Mensah , Sebastian Schwarzacher , Pei Su

Odd fluids are a class of fluids characterized by non-zero antisymmetric transport coefficient tensors induced by broken time-reversal symmetry. In our previous work, a mesoscale simulation model for two-dimensional isotropic odd fluids was…

软凝聚态物质 · 物理学 2025-08-07 Yuxing Jiao , Mingcheng Yang

An analytical MHD model of a normal-polarity prominence with compressible flow is presented. The exact solution is constructed via a systematic nonlinear separation of variables method used to calculate several classes of MHD equilibria in…

天体物理学 · 物理学 2007-05-23 G. J. D. Petrie , K. Tsinganos , T. Neukirch

In this work I develop a new framework for anisotropic hydrodynamics that generalizes the leading order of the hydrodynamic expansion to the full (3+1)-dimensional anisotropic massive case. Following previous works, my considerations are…

核理论 · 物理学 2015-07-29 Leonardo Tinti

Collective motion is often modeled within the framework of active fluids, where the constituent active particles, when interactions with other particles are switched off, perform normal diffusion at long times. However, in biology,…

统计力学 · 物理学 2020-04-02 Andrea Cairoli , Chiu Fan Lee
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