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Related papers: The effect of shear on persistence in coarsening s…

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We analytically study coarsening dynamics in a system with nonconserved scalar order parameter, when a uniform time-independent shear flow is present. We use an anisotropic version of the Ohta-Jasnow-Kawasaki approximation to calculate the…

Statistical Mechanics · Physics 2009-10-31 Andrea Cavagna , Alan J. Bray , Rui D. M. Travasso

We consider the ordering kinetics of a nonconserved scalar field advected by a uniform shear flow. Using the Ohta-Jasnow-Kawasaki approximation, modified to allow for shear-induced anisotropy, we calculate the asymptotic time dependence of…

Statistical Mechanics · Physics 2009-10-31 Alan J. Bray , Andrea Cavagna

The effect of shear on the ordering-kinetics of a conserved order-parameter system with O(n) symmetry and order-parameter-dependent mobility \Gamma({\vec\phi}) \propto (1- {\vec\phi} ^2/n)^\alpha is studied analytically within the large-n…

Statistical Mechanics · Physics 2009-10-31 N. P. Rapapa

We calculate the exact autocorrelation exponent lambda and persistence exponent theta, and also amplitudes, in the dilute limit of phase ordering for dimensions d >= 2. In the Lifshitz-Slyozov-Wagner limit of conserved order parameter…

Statistical Mechanics · Physics 2008-02-03 Benjamin P. Lee , Andrew D. Rutenberg

The persistence exponent, theta, is defined by N_F sim t^theta, where t is the time since the start of the coarsening process and the "no-flip fraction", N_F, is the number of points that have not seen a change of "color" since t=0. Here we…

Condensed Matter · Physics 2009-10-31 V. M. Kendon , M. E. Cates , J-C. Desplat

Persistence in coarsening 1D spin systems with a power law interaction $r^{-1-\sigma}$ is considered. Numerical studies indicate that for sufficiently large values of the interaction exponent $\sigma$ ($\sigma\geq 1/2$ in our simulations),…

Statistical Mechanics · Physics 2009-10-31 Iaroslav Ispolatov

The influence of an applied shear field on the dynamics of an aging colloidal suspension has been investigated by the dynamic light scattering determination of the density autocorrelation function. Though a stationary state is never…

Soft Condensed Matter · Physics 2009-11-10 R. Di Leonardo , F. Ianni , G. Ruocco

We demonstrate the large scale effects of the interplay between shape and hard core interactions in a system with left- and right-pointing arrowheads ~$\textless ~~ \textgreater$~ on a line, with reorientation dynamics. This interplay leads…

Statistical Mechanics · Physics 2016-11-17 Mahendra D. Khandkar , Robin Stinchcombe , Mustansir Barma

The effects of a large-scale shear on the energy spectrum of a passively advected scalar field are investigated. The shear is superimposed on a turbulent isotropic flow, yielding an Obukhov-Corrsin $k^{-5/3}$ scalar spectrum at small…

Chaotic Dynamics · Physics 2009-11-10 A. Celani , M. Cencini , M. Vergassola , E. Villermaux , D. Vincenzi

We consider a single Rouse polymer chain in two dimensions in presence of a transverse shear flow along the $x$ direction and calculate the persistence probability $P_0(t)$ that the $x$ coordinate of a bead in the bulk of the chain does not…

Statistical Mechanics · Physics 2009-11-13 Somnath Bhattacharya , Dibyendu Das , Satya N. Majumdar

A two-dimensional Yukawa liquid is studied using two different nonequilibrium molecular dynamics simulation methods. Shear viscosity values in the limit of small shear rates are reported for a wide range of Coulomb coupling parameter and…

Soft Condensed Matter · Physics 2016-08-16 Z. Donkó , J. Goree , P. Hartmann , K. Kutasi

We perform a linear stability analysis of extended domains in phase-separating fluids of equal viscosity, in two dimensions. Using the coupled Cahn-Hilliard and Stokes equations, we derive analytically the stability eigenvalues for long…

Statistical Mechanics · Physics 2009-10-30 Amalie Frischknecht

The presence of long-ranged correlations in a fluid undergoing uniform shear flow is investigated. An exact relation between the density autocorrelation function and the density-mometum correlation function implies that the former must…

Statistical Mechanics · Physics 2009-11-07 James F. Lutsko , J. W. Dufty

The evolution equation for the shear is reobtained for a spherically symmetric anisotropic, viscous dissipative fluid distribution, which allows us to investigate conditions for the stability of the shear-free condition. The specific case…

General Relativity and Quantum Cosmology · Physics 2015-05-18 L. Herrera , A. Di Prisco , J. Ospino

The shear viscosity of a two-dimensional (2D) liquid was calculated using equilibrium molecular dynamics simulations with a Yukawa potential. The shear viscosity has a minimum, at a Coulomb coupling parameter of about 17, arising from the…

Soft Condensed Matter · Physics 2011-07-19 Bin Liu , J. Goree

Shear thickening appears as an increase of the viscosity of a dense suspension with the shear rate, sometimes sudden and violent at high volume fraction. Its origin for noncolloidal suspension with non-negligible inertial effects is still…

Fluid Dynamics · Physics 2013-09-10 Francesco Picano , Wim-Paul Breugem , Dhrubaditya Mitra , Luca Brandt

A consistent perturbation theory expansion is presented for phase-ordering kinetics in the case of a nonconserved scalar order parameter. At zeroth order in this expansion one obtains the theory due to Ohta, Jasnow and Kawasaki (OJK). At…

Statistical Mechanics · Physics 2009-10-31 Gene F. Mazenko

This study is concerned with the diffusion of a passive scalar $\Theta(\r,t)$ advected by general $n$-dimensional shear flows $\u=u(y,z,...,t)\hat{x}$ having finite mean-square velocity gradients. The unidirectionality of the incompressible…

Fluid Dynamics · Physics 2009-11-13 Chuong V. Tran

We use numerical simulations to study the flow of athermal, frictionless, soft-core two dimensional spherocylinders driven by a uniform steady-state simple shear applied at a fixed volume and a fixed finite strain rate $\dot\gamma$. Energy…

Soft Condensed Matter · Physics 2020-03-30 Theodore A. Marschall , S. Teitel

We study the stability of amorphous solids, focusing on the distribution P(x) of the local stress increase x that would lead to an instability. We argue that this distribution is singular P(x)x^{\theta}, where the exponent {\theta} is…

Soft Condensed Matter · Physics 2014-11-19 Jie Lin , Alaa Saade , Edan Lerner , Alberto Rosso , Matthieu Wyart
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