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We extend the conventional mode-coupling theory of supercooled liquids to systems under stationary shear flow. Starting from generalized fluctuating hydrodynamics, a nonlinear equation for the intermediate scattering function is…

Statistical Mechanics · Physics 2009-11-10 Kunimasa Miyazaki , David R. Reichman

One prototypical instability in granular flows is the shear-banding instability, in which a uniform granular shear flow breaks into alternating bands of dense and dilute clusters of particles having low and high shear (shear stress or shear…

Soft Condensed Matter · Physics 2019-09-18 Priyanka Shukla , Lima Biswas , Vinay Kumar Gupta

We report a molecular dynamics (MD) study of the collective dynamics of a simple monatomic liquid -interacting through a two body potential that mimics that of lithium- across the liquid-glass transition. In the glassy phase we find…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. Scopigno , G. Ruocco , F. Sette , G. Viliani

Neither natural nor laboratory laminar flows are perfectly steady. Instead, they are frequently highly unsteady, as illustrated by experimental studies on B\'{e}nard convection. In the paper, we investigate the transition threshold of the…

Analysis of PDEs · Mathematics 2026-03-18 Qionglei Chen , Zhen Li

A one-dimensional version of the second-order transition model based on the sheared flow amplification by Reynolds stress and turbulence supression by shearing is presented. The model discussed in this paper includes a form of the Reynolds…

Plasma Physics · Physics 2009-11-13 Ivan Calvo , Benjamin A. Carreras

Dense mixture of granules and liquid often shows a sever shear thickening and is called a dilatant fluid. We construct a fluid dynamics model for the dilatant fluid by introducing a phenomenological state variable for a local state of…

Soft Condensed Matter · Physics 2015-06-03 Hiizu Nakanishi , Shin-ichiro Nagahiro , Namiko Mitarai

We study the rheological properties of a granular suspension subject to constant shear stress by constant volume molecular dynamics simulations. We derive the system `flow diagram' in the volume fraction/stress plane $(\phi,F)$: at low…

Soft Condensed Matter · Physics 2008-02-28 Denis S. Grebenkov , Massimo Pica Ciamarra , Mario Nicodemi , Antonio Coniglio

The shear viscosity in the dilute regime of a model for confined granular matter is studied by simulations and kinetic theory. The model consists on projecting into two dimensions the motion of vibrofluidized granular matter in shallow…

Statistical Mechanics · Physics 2015-06-22 Rodrigo Soto , Dino Risso , Ricardo Brito

Hydrophobic textured surfaces are studied for their low wettability and their capacity to create a 'slippery' fluid on the surface during lubrication. To this end, the flow between two parallel surfaces is numerically addressed by computing…

Fluid Dynamics · Physics 2024-08-12 Nicolas Elie , Pascal Jolly , Romain Lucas-Roper , Noël Brunetière

Steady simple shear flow of a low-density binary mixture of inelastic smooth hard spheres is studied in the context of the Boltzmann equation. This equation is solved by using two different and complementary approaches: a Sonine polynomial…

Soft Condensed Matter · Physics 2009-11-07 J. M. Montanero , V. Garzo

The predictions of a nonequilibrium schematic mode-coupling theory developed to describe the nonlinear rheology of soft glassy materials have been numerically challenged in a sheared binary Lennard-Jones mixture. The theory gives an…

Statistical Mechanics · Physics 2009-11-07 Ludovic Berthier , Jean-Louis Barrat

We investigate the behavior of colloidal suspensions with different volume fractions confined between parallel walls under a range of steady shears. We model the particles using molecular dynamics (MD) with full hydrodynamic interactions…

Soft Condensed Matter · Physics 2014-09-18 Frances E. Mackay , Kyle Pastor , Mikko Karttunen , Colin Denniston

The hydrodynamic theory of polar liquid crystals is widely used to describe biological active fluids as well as passive molecular materials. Depending on the `shear-alignment parameter', in passive or weakly active polar fluids under…

Soft Condensed Matter · Physics 2019-03-06 Tomer Markovich , Elsen Tjhung , Michael E. Cates

By means of extensive equilibrium molecular dynamics simulations we have investigated, the behavior of the interfacial tension $\gamma$ of two immiscible symmetrical Lennard-Jones fluids. This quantity is studied as function of reduced…

Statistical Mechanics · Physics 2016-08-15 Enrique Diaz-Herrera , José Alejandre , Guillermo Ramírez-Santiago , F. Forstmann

Molecular dynamics simulations of a short-chain polymer melt between two brush-covered surfaces under shear have been performed. The end-grafted polymers which constitute the brush have the same chemical properties as the free chains in the…

Soft Condensed Matter · Physics 2016-08-31 Claudio Pastorino , Torsten Kreer , Marcus Mueller , Kurt Binder

In stellar interiors shear flows play an important role in many physical processes. So far helioseismology provides only large-scale measurements, and so the small-scale dynamics remains insufficiently understood. To draw a connection…

Solar and Stellar Astrophysics · Physics 2016-12-01 V. Witzke , L. J. Silvers

The motion of a deformable active particle in linear shear flow is explored theoretically. Based on symmetry considerations, in two spatial dimensions, we propose coupled nonlinear dynamical equations for the particle position, velocity,…

Soft Condensed Matter · Physics 2014-01-28 Mitsusuke Tarama , Andreas M. Menzel , Borge ten Hagen , Raphael Wittkowski , Takao Ohta , Hartmut Löwen

The uniform shear flow for the rarefied gas is governed by the time-dependent spatially homogeneous Boltzmann equation with a linear shear force. The main feature of such flow is that the temperature may increase in time due to the shearing…

Analysis of PDEs · Mathematics 2021-11-03 Renjun Duan , Shuangqian Liu

We study a one-dimensional equation arising in the multiscale modeling of some non-Newtonian fluids. At a given shear rate, the equation provides the instantaneous mesoscopic response of the fluid, allowing to compute the corresponding…

Mathematical Physics · Physics 2014-04-29 David Benoit , Claude Le Bris , Tony Lelièvre

Using molecular dynamics simulation, we examine the dynamics of crystal, polycrystal, and glass in a Lennard-Jones binary mixture composed of small and large particles in two dimensions. The crossovers occur among these states as the…

Soft Condensed Matter · Physics 2010-05-04 Hayato Shiba , Akira Onuki
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