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We investigate the dynamics of membranes that are held by freely-rotating tethers in fluid flows. The tethered boundary condition allows periodic and chaotic oscillatory motions for certain parameter values. We characterize the oscillations…

Fluid Dynamics · Physics 2021-06-16 Christiana Mavroyiakoumou , Silas Alben

The hydrodynamics of smectic films at an air-water interface is discussed, with particular focus on the viscous response of the film under flow normal to the layers. The corrections to the response functions of the smectic phase, arising…

Soft Condensed Matter · Physics 2007-05-23 Shilpa Jain , David R. Nelson

Inspired by recent experiments of cells accumulating on anisotropic substrates, we study a two-dimensional, compressible, isotropic, active fluid in the presence of anisotropic friction. We find that regions of anisotropic friction that are…

Soft Condensed Matter · Physics 2026-03-04 Cody D. Schimming , Brian A. Camley

We investigate the emergence of orientational order among +1/2 disclinations in active nematic liquid crystals. Using a combination of theoretical and experimental methods, we show that +1/2 disclinations have short-range antiferromagnetic…

Soft Condensed Matter · Physics 2021-11-08 D. J. G. Pearce , J. Nambisan , P. W. Ellis , A. Fernandez-Nieves , L. Giomi

We consider a collection of self-driven apolar particles on a substrate that organize into an active nematic phase at sufficiently high density or low noise. Using the dynamical renormalization group, we systematically study the 2d…

Soft Condensed Matter · Physics 2018-02-07 Suraj Shankar , Sriram Ramaswamy , M. Cristina Marchetti

We study the homogeneous and the spatially periodic instabilities in a nematic liquid crystal layer subjected to steady plane {\em Couette} or {\em Poiseuille} flow. The initial director orientation is perpendicular to the flow plane. Weak…

Fluid Dynamics · Physics 2009-11-11 I. Sh. Nasibullayev , O. S. Tarasov , A. P. Krekhov , L. Kramer

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…

Soft Condensed Matter · Physics 2025-07-22 Leiming Chen , Chiu Fan Lee , John Toner

We prove that, in a two-dimensional strip, a steady flow of an ideal incompressible fluid with no stationary point and tangential boundary conditions is a shear flow. The same conclusion holds for a bounded steady flow in a half-plane. The…

Analysis of PDEs · Mathematics 2015-09-16 François Hamel , Nikolai Nadirashvili

We study immiscible two-phase flow of a compressible and an incompressible fluid inside a capillary tube of varying radius under steady-state conditions. The incompressible fluid is Newtonian and the compressible fluid is an inviscid ideal…

Fluid Dynamics · Physics 2022-07-22 Hyejeong L. Cheon , Hursanay Fyhn , Alex Hansen , Øivind Wilhelmsen , Santanu Sinha

In this paper, we extend our study of mass transport in multicomponent isothermal fluids to the incompressible case. For a mixture, incompressibility is defined as the independence of average volume on pressure, and a weighted sum of the…

Analysis of PDEs · Mathematics 2020-05-26 Dieter Bothe , Pierre-Etienne Druet

We study the kinetics of the nematic-isotropic transition in a two-dimensional liquid crystal by using a lattice Boltzmann scheme that couples the tensor order parameter and the flow consistently. Unlike in previous studies, we find the…

Soft Condensed Matter · Physics 2009-11-07 Colin Denniston , Enzo Orlandini , J. M. Yeomans

We investigate the dynamics of elastic capsules suspended in two-dimensional active nematic fluids using lattice Boltzmann simulations. The capsules, modeled as flexible membranes enclosing active internal regions, exhibit a rich variety of…

Soft Condensed Matter · Physics 2026-04-13 Júlio P. A. Santos , Margarida M. Telo da Gama , Rodrigo C. V. Coelho

We analyze a model of mutually-propelled filaments suspended in a two-dimensional solvent. The system undergoes a mean-field isotropic-nematic transition for large enough filament concentrations and the nematic order parameter is allowed to…

Soft Condensed Matter · Physics 2011-05-26 L. Giomi , L. Mahadevan , B. Chakraborty , M. F. Hagan

We establish how active stress globally affects the morphology of disclination lines of a three dimensional active nematic liquid crystal under chaotic flow. Thanks to a defect detection algorithm based on the local nematic orientation, we…

Soft Condensed Matter · Physics 2025-06-30 Pasquale Digregorio , Cecilia Rorai , Ignacio Pagonabarraga , Federico Toschi

We consider the orientational instabilities, both homogeneous and spatially periodic, developing in a nematic liquid crystal under rectilinear oscillatory Couette flow for director alignment perpendicular to the flow plane. Using numerical…

Soft Condensed Matter · Physics 2007-05-23 O. S. Tarasov , A. P. Krekhov , L. Kramer

We investigate the effects of extrinsic curvature on the turbulent behavior of a 2D active nematic confined to the surface of a cylinder. The surface of a cylinder has no intrinsic curvatrue and only extrinsic curvature. A nematic field…

Soft Condensed Matter · Physics 2020-08-26 D. J. G. Pearce

In the present paper a simple dynamical model for computing the osmotically driven fluid flow in a variety of complex, non equilibrium situations is derived from first principles. Using the Oberbeck-Boussinesq approximation, the basic…

Fluid Dynamics · Physics 2014-06-06 Stephan I. Tzenov

Cell alignment often forms nematic order, which can lead to anomalous collective cell flow due to the so-called active force. Although it is appreciated that cell migration is driven by traction force, a quantitative evaluation of the…

Soft Condensed Matter · Physics 2024-02-27 Masahito Uwamichi , He Li , Zihui Zhao , Yisong Yao , Hideo Higuchi , Kyogo Kawaguchi , Masaki Sano

We develop a theory describing how a convectively unstable active field in an open flow is transformed into absolutely unstable by local mixing. Presenting the mixing region as one with a locally enhanced effective diffusion allows us to…

Pattern Formation and Solitons · Physics 2008-12-22 Arthur V. Straube , Arkady Pikovsky

We develop an effective two-dimensional coarse-grained description for the coupled system of a planar fluid membrane anchored to a thin layer of polar ordered active fluid below. The macroscopic orientation of the active fluid layer is…

Soft Condensed Matter · Physics 2013-09-16 Niladri Sarkar , Abhik Basu