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We derive from particle-level dynamics a constitutive model describing the rheology of two-dimensional dense soft suspensions below the jamming transition, in a regime where hydrodynamic interactions between particles are screened. Based on…

Soft Condensed Matter · Physics 2026-01-08 N. Cuny , E. Bertin , R. Mari

The flow of a viscous fluid along a curving pipe of fixed radius is driven by a pressure gradient. For a generally curving pipe it is the fluid flux which is constant along the pipe and so I correct fluid flow solutions of Dean (1928) and…

Pattern Formation and Solitons · Physics 2009-11-10 A. J. Roberts

We study the dynamics of an athermal inertial run-and-tumble particle moving in a shear-thickening medium in $d=1$. The viscosity of the medium is represented by a nonlinear function $f(v)\sim\tan(v)$, while a symmetric dichotomous noise of…

Statistical Mechanics · Physics 2025-08-06 Subhanker Howlader , Sayantan Mondal , Prasenjit Das

We study the jamming transition in a model of elastic particles under shear at zero temperature. The key quantity is the relaxation time $\tau$ which is obtained by stopping the shearing and letting energy and pressure decay to zero. At…

Soft Condensed Matter · Physics 2015-03-31 Peter Olsson

The use of dissipative particle dynamics (DPD) simulation to study the rheology of fluids under shear has always been of great interest to the research community. Despite being a powerful tool, a limitation of DPD is the need to use high…

Fluid Dynamics · Physics 2025-10-31 Francesco De Roma , Luca Maffioli , Edward R. Smith , Antonio Buffo

On the basis of a hydrodynamical model analogous to that in critical fluids, we investigate the influences of shear flow upon the electrostatic contribution to the viscosity of binary electrolyte solutions in the Debye-H\"{u}ckel…

Statistical Mechanics · Physics 2007-05-23 Hirofumi Wada

The ubiquitous appearance of regions of localized deformation (shear bands) in different kinds of disordered materials under shear is studied in the context of a mesoscopic model of plasticity. The model may or may not include relaxational…

Soft Condensed Matter · Physics 2015-05-19 E. A. Jagla

Nearly all dense suspensions undergo dramatic and abrupt thickening transitions in their flow behaviour when sheared at high stresses. Such transitions occur when the dominant interactions between the suspended particles shift from…

We investigate criticality near the jamming transition in both quiescent systems and those under shear by considering the effect of mechanical training on the jamming transition and nonlinear rheology. We simulate frictionless soft…

Soft Condensed Matter · Physics 2020-03-25 Takeshi Kawasaki , Kunimasa Miyazaki

We study the rheology of cornstarch suspensions, a non-Brownian particle system that exhibits discontinuous shear thickening. Using magnetic resonance imaging (MRI), the local properties of the flow are obtained by the determination of…

Soft Condensed Matter · Physics 2012-06-11 Abdoulaye Fall , François Bertrand , Guillaume Ovarlez , Daniel Bonn

Under steady shear, a foam relaxes stress through intermittent rearrangements of bubbles accompanied by sudden drops in the stored elastic energy. We use a simple model of foam that incorporates both elasticity and dissipation to study the…

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

Shear viscosity and wall slip of dense suspensions of a silicone polymer incorporated with polydisperse particles were investigated. Three types of particles with low aspect ratios were used to achieve a relatively high maximum packing…

Soft Condensed Matter · Physics 2018-12-05 Jing He , Stephanie Lee , Dilhan M. Kalyon

We present a time-dependent Ginzburg-Landau model of nonlinear elasticity in solid materials. We assume that the elastic energy density is a periodic function of the shear and tetragonal strains owing to the underlying lattice structure.…

Statistical Mechanics · Physics 2009-11-10 Akira Onuki , Akira Furukawa , Akihiko Minam

Polymers exposed to shear flow exhibit a rich tumbling dynamics. While rigid rods rotate on Jeffery orbits, flexible polymers stretch and coil up during tumbling. Theoretical results show that in both of these asymptotic regimes the…

Soft Condensed Matter · Physics 2014-05-27 Philipp S. Lang , Benedikt Obermayer , Erwin Frey

Concentrated suspensions may shear-thin when the suspended particles form planar sheets that slide over one another with less friction than if the particles are randomly distributed. In a na\"ive model the suspension is described by a mean…

Soft Condensed Matter · Physics 2014-02-25 J. I. Katz

During embryonic morphogenesis, tissues undergo dramatic deformations in order to form functional organs. Similarly, in adult animals, living cells and tissues are continually subjected to forces and deformations. Therefore, the success of…

Soft Condensed Matter · Physics 2024-05-06 Michael J. Hertaeg , Suzanne M. Fielding , Dapeng Bi

Solids are distinguished from fluids by their ability to resist shear. In traditional solids, the resistance to shear is associated with the emergence of broken translational symmetry as exhibited by a non-uniform density pattern, which…

Soft Condensed Matter · Physics 2017-05-16 Sumantra Sarkar , Dapeng Bi , Jie Zhang , Jie Ren , R. P. Behringer , Bulbul Chakraborty

We develop a new scaling theory for the resistive tearing mode instability of a current sheet with a strong shear flow across the layer. The growth rate decreases with increasing flow shear and is completely stabilized as the shear flow…

Plasma Physics · Physics 2026-01-14 Alfred Mallet , Stefan Eriksson , Marc Swisdak , James Juno

We investigate the shear flow of a sludge mimicking slurries produced by the nuclear industry and constituted of a dispersion of non-Brownian particles into an attractive colloidal dispersion at a total solid volume fraction of about 10%.…

Soft Condensed Matter · Physics 2026-03-11 Sebastien Castel , Arnaud Poulesquen , Sebastien Manneville