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We develop a microscopic picture of shear thickening in dense suspensions which emphasizes the role of frictional forces, coupling rotational and translational degrees of freedom. Simulations with contact forces and viscous drag only,…

Soft Condensed Matter · Physics 2016-11-23 Moumita Maiti , Annette Zippelius , Claus Heussinger

Polymeric thin films of various thicknesses, confined between two repulsive walls, have been studied by molecular dynamics simulations. Using the anisotropy of the perpendicular and parallel components of the pressure tensor the surface…

Soft Condensed Matter · Physics 2009-10-31 F. Varnik , J. Baschnagel , K. Binder

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 introduce a novel approach to reveal ordering fluctuations in sheared dense suspensions, using line scanning in a combined rheometer and laser scanning confocal microscope. We validate the technique with a moderately dense suspension,…

Soft Condensed Matter · Physics 2022-11-04 Joia M. Miller , Daniel L. Blair , Jeffrey S. Urbach

The pressure tensor (equivalent to the negative stress tensor) at both microscopic and macroscopic levels is fundamental to many aspects of engineering and science, including fluid dynamics, solid mechanics, biophysics, and thermodynamics.…

Chemical Physics · Physics 2023-01-23 Kaihang Shi , Edward Smith , Erik E. Santiso , Keith E. Gubbins

We analyze stress transmission in wet granular media in the pendular state by means of three-dimensional molecular dynamics simulations. We show that the tensile action of capillary bonds induces a self-stressed particle network organized…

Materials Science · Physics 2015-06-25 Vincent Richefeu , Farhang Radjaï , Moulay Saïd El Youssoufi

In a recent letter (Denkov et al., Phys. Rev. Lett., vol. 100 (2008) p. 138301) we calculated theoretically the macroscopic viscous stress of steadily sheared foam/emulsion from the energy dissipated inside the transient planar films,…

Soft Condensed Matter · Physics 2009-11-13 S. Tcholakova , N. D. Denkov , K. Golemanov , K. P. Ananthapadmanabhan , A. Lips

We introduce an algorithmic framework based on tensor networks for computing fluid flows around immersed objects in curvilinear coordinates. We show that the tensor network simulations can be carried out solely using highly compressed…

Tensor network algorithms can efficiently simulate complex quantum many-body systems by utilizing knowledge of their structure and entanglement. These methodologies have been adapted recently for solving the Navier-Stokes equations, which…

Using multiple scattering theory, we derived for the first time analytical formulas for electrostrictive tensors for two dimensional metamaterial systems. The electrostrictive tensor terms are found to depend explicitly on the symmetry of…

Optics · Physics 2015-07-01 Wujiong Sun , S. B. Wang , Jack Ng , Lei Zhou , C. T. Chan

It is remarked that fluxes in conservation laws, such as the Reynolds stresses in the momentum equation of turbulent shear flows, or the spectral energy flux in isotropic turbulence, are only defined up to an arbitrary solenoidal field.…

Fluid Dynamics · Physics 2017-10-23 Javier Jimenez

We develop a constitutive model allowing for the description of the rheology of two-dimensional soft dense suspensions above jamming. Starting from a statistical description of the particle dynamics, we derive, using a set of…

Soft Condensed Matter · Physics 2021-11-23 Nicolas Cuny , Romain Mari , Eric Bertin

Discrete particle simulations are used to study the shear rheology of dense, stabilized, frictional particulate suspensions in a viscous liquid, toward development of a constitutive model for steady shear flows at arbitrary stress. These…

Soft Condensed Matter · Physics 2018-02-14 Abhinendra Singh , Romain Mari , Morton M. Denn , Jeffrey F. Morris

We carry out a detailed comparison of soft particle molecular dynamics simulations with the theory of partially fluidized shear granular flows. We verify by direct simulations a constitutive relation based on the separation of the shear…

Soft Condensed Matter · Physics 2007-05-23 Dmitri Volfson , Lev S. Tsimring , Igor S. Aranson

Discontinuous shear thickening (DST) is associated with a sharp rise of a suspension's viscosity with increasing applied shear rate. A key signature of DST, highlighted in recent studies, is the very large fluctuations of the measured…

Soft Condensed Matter · Physics 2022-10-04 Abhay Goyal , Nicos S. Martys , Emanuela Del Gado

We provide a method for calculating time-averaged stress fluctuations on surfaces in a viscous incompressible fluid at equilibrium. We assume that (i) the time-averaged fluctuating stress is balanced in equilibrium at each position and that…

Statistical Mechanics · Physics 2018-12-27 Masato Itami , Shin-ichi Sasa

We introduce a resummed hydrodynamic scheme for evolving the viscous stress tensors in relativistic viscous hydrodynamics, based on which the necessary non-linear causality conditions can be imposed. When the magnitudes of the shear and…

Nuclear Theory · Physics 2025-08-08 Cheng Chiu , Gabriel Denicol , Matthew Luzum , Chun Shen

In this paper, a mathematical model of two adjacent rigid particles immersed into a viscous incompressible fluid is considered. The main feature of the flow is that the Cauchy stress tensor consisting of the strain tensor and the pressure…

Analysis of PDEs · Mathematics 2022-05-24 Zhiwen Zhao

Multi-particle collision dynamics is an appealing numerical technique aiming at simulating fluids at the mesoscopic scale. It considers molecular details in a coarse-grained fashion and reproduces hydrodynamic phenomena. Here, the…

Soft Condensed Matter · Physics 2019-03-28 H. Híjar

Active fluids generate internal active stress and exhibit unique responses to external forces such as superfluidity and self-yielding transitions. However, how confinement geometry influences these responses remains poorly understood. Here,…

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