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Related papers: Shear Alignment and Instability of Smectic Phases

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We show that the space charge dynamics of high intensity beams in the plane perpendicular to the magnetic field in cyclotrons is described by the two-dimensional Euler equations for an incompressible fluid. This analogy with fluid dynamics…

Accelerator Physics · Physics 2016-05-25 Antoine J. Cerfon

The properties of semidilute polymer solutions are investigated at equilibrium and under shear flow by mesoscale simulations, which combine molecular dynamics simulations and the multiparticle collision dynamics approach. In semidilute…

Soft Condensed Matter · Physics 2015-03-19 Chien-Cheng Huang , Roland G. Winkler , Godehard Sutmann , Gerhard Gompper

The rheological behavior of polymer melts is strongly influenced by parameters such as chain length, chain stiffness, and architecture. In particular, shear thinning, characterized by a power-law decrease in shear viscosity with increasing…

Soft Condensed Matter · Physics 2026-03-17 Yuhi Sakamaki , Shota Goto , Kang Kim , Nobuyuki Matubayasi

Instabilities at interface of two stream granular flows have been reported in recent experiment [1] that breaking waves can form at the interface between two streams of identical grains flowing on an inclined plane downstream of a splitter…

Classical Physics · Physics 2007-05-23 Hua-Shu Dou , Boo Cheong Khoo , Nhan Phan-Thien

The stability of transparent spherically symmetric thin shells (and wormholes) to linearized spherically symmetric perturbations about static equilibrium is examined. This work generalizes and systematizes previous studies and explores the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Mustapha Ishak , Kayll Lake

The effect of viscosity and thermal conduction on the acoustics in a shear layer above an impedance wall is investigated numerically and asymptotically by solving the compressible linearised Navier-Stokes equations. It is found that…

Fluid Dynamics · Physics 2016-12-06 Doran Khamis , Edward James Brambley

We investigate the linear instability of flows that are stable according to Rayleigh's criterion for rotating fluids. Using Taylor-Couette flow as a primary test case, we develop large Reynolds number matched asymptotic expansion theories.…

Fluid Dynamics · Physics 2025-03-12 Kengo Deguchi , Ming Dong

We give a proof of linear inviscid damping and vorticity depletion for non-monotonic shear flows with one critical point in a bounded periodic channel. In particular, we obtain quantitative depletion rates for the vorticity function without…

Analysis of PDEs · Mathematics 2024-02-01 Alexandru D. Ionescu , Sameer Iyer , Hao Jia

This paper is devoted to the study of the nonlinear instability of shear layers and of Prandtl's boundary layers, for the incompressible Navier Stokes equations. We prove that generic shear layers are nonlinearly unstable provided the…

Analysis of PDEs · Mathematics 2024-01-30 Dongfen Bian , Emmanuel Grenier

We theoretically study the instability of helical shear flows, in which one fluid component flows along the vortex core of the other, in phase-separated two-component Bose-Einstein condensates at zero temperature. The helical shear flows…

Quantum Gases · Physics 2013-06-27 Shinsuke Hayashi , Makoto Tsubota , Hiromitsu Takeuchi

In this paper, we present energy-stable numerical schemes for a Smectic-A liquid crystal model. This model involve the hydrodynamic velocity-pressure macroscopic variables $({\bf u},p)$ and the microscopic order parameter of Smectic-A…

Numerical Analysis · Mathematics 2015-06-23 Francisco Guillén-González , Giordano Tierra

Shear flow is known to induce huge density fluctuations in otherwise clear and uniform polymer solutions. This effect is rooted in the elasticity of the entangled polymer network, and can span distances over a thousand chains wide. It has…

Computational Physics · Physics 2018-08-21 Airidas Korolkovas

We study theoretically the formation of shear bands in time-dependent flows of polymeric and wormlike micellar surfactant fluids, focussing on the protocols of step shear stress, step shear strain (or in practice a rapid strain ramp), and…

Soft Condensed Matter · Physics 2015-06-16 Robyn L. Moorcroft , Suzanne M. Fielding

We consider a shear layer of a kind not previously studied to our knowledge. Contrary to the classical free shear layer, the width of the shear zone does not vary in the streamwise direction but rather exhibits a lateral variation. Based on…

Fluid Dynamics · Physics 2012-09-05 Vagesh D. Narasimhamurthy , Simen Å. Ellingsen , Helge I. Andersson

We study the instability of a dusty simple shear flow where the dust particles are distributed non-uniformly. A simple shear flow is modally stable to infinitesimal perturbations. Also, a band of particles remains unaffected in the absence…

Fluid Dynamics · Physics 2024-05-10 Anu V. S. Nath , Anubhab Roy , M. Houssem Kasbaoui

We study the layer-to-layer diffusion in smectic-A liquid crystals of colloidal hard rods with different length-to-diameter ratios using computer simulations. The layered arrangement of the smectic phase yields a hopping-type diffusion due…

Soft Condensed Matter · Physics 2010-06-16 Alessandro Patti , Djamel El Masri , René van Roij , Marjolein Dijkstra

Chemical design of block copolymers makes it possible to create polymer vesicles with tunable microscopic structure. Here we focus on a model of a vesicle made of smectic liquid-crystalline block copolymers at zero temperature. The vesicle…

Soft Condensed Matter · Physics 2018-12-19 Francesco Serafin , Mark J. Bowick , Sidney R. Nagel

We present some results of recent calculations of rigid rod-like particles in shear flow, based on the Doi model. This is an ideal model system for exhibiting the generic behavior of shear-thinning fluids (polymer solutions, wormlike…

Soft Condensed Matter · Physics 2015-06-25 Peter D. Olmsted , C-Y David Lu

Stenull and Lubensky [Phys. Rev. E {\bf 76}, 011706 (2007)] have argued that shear strain and tilt of the director relative to the layer normal are coupled in smectic elastomers and that the imposition of one necessarily leads to the…

Soft Condensed Matter · Physics 2009-11-13 Olaf Stenull , T. C. Lubensky , J. M. Adams , Mark Warner

Nematic quantum fluids appear in strongly interacting systems and break the rotational symmetry of the crystallographic lattice. In metals, this is connected to a well-known instability of the Fermi liquid-the Pomeranchuk instability. Using…