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We generalize the mode-coupling theory of supercooled fluids to systems under stationary shear flow. Our starting point is the generalized fluctuating hydrodynamic equations with a convection term. The method is applied to a two dimensional…

软凝聚态物质 · 物理学 2009-11-10 Kunimasa Miyazaki , Ryoichi Yamamoto , David R. Reichman

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…

统计力学 · 物理学 2009-11-07 James F. Lutsko , J. W. Dufty

Motivated by a number of recent experimental and computational studies of the dynamics of fluids plunged in quenched-disordered external fields, we report on a theoretical investigation of this topic within the framework of the…

软凝聚态物质 · 物理学 2018-10-05 Thomas Konincks , Vincent Krakoviack

Mode-coupling theory (MCT) of sheared dense granular liquids %in the vicinity of jamming transition is formulated. Starting from the Liouville equation of granular particles, the generalized Langevin equation is derived with the aid of the…

统计力学 · 物理学 2009-09-30 Hisao Hayakawa , Michio Otsuki

We derive a mode-coupling theory for the slow dynamics of fluids confined in disordered porous media represented by spherical particles randomly placed in space. Its equations display the usual nonlinear structure met in this theoretical…

软凝聚态物质 · 物理学 2007-05-23 V. Krakoviack

A self-consistent mode-coupling theory is presented for the viscosity of solutions of charged rod-like polymers. The static structure factor used in the theory is obtained from polymer integral equation theory; the Debye-H\"{u}ckel…

软凝聚态物质 · 物理学 2009-11-10 Kunimasa Miyazaki , Biman Bagchi , Arun Yethiraj

I derive a mode-coupling theory for the velocity autocorrelation function, \psi(t), in a fluid of randomly driven inelastic hard spheres far from equilibrium. With this, I confirm a conjecture from simulations that the velocity…

软凝聚态物质 · 物理学 2019-02-19 W. Till Kranz

Sheared granular liquids are studied by the mode coupling theory. It is shown that, in contrast to thermostatted systems, current correlations play an essential role in the dynamics. The theory predicts that the plateau of the density…

统计力学 · 物理学 2013-07-16 Koshiro Suzuki , Hisao Hayakawa

A recent mode coupling theory of higher-order correlation functions is tested on a simple hard-sphere fluid system at intermediate densities. Multi-point and multi-time correlation functions of the densities of conserved variables are…

统计力学 · 物理学 2009-11-07 Ramses van Zon , Jeremy Schofield

We develop a nonequilibrium mode-coupling theory for uniformly sheared systems starting from microscopic, thermostatted SLLOD equations of motion. Our theory aims at describing stationary-state properties including rheological ones of…

软凝聚态物质 · 物理学 2009-11-13 Song-Ho Chong , Bongsoo Kim

Disordered and hyperuniform structures of densely packed spheres near and at jamming are characterized by vanishing of long-wavelength density fluctuations, or equivalently by long-range power-law decay of the direct correlation function…

统计力学 · 物理学 2021-10-04 Hiroshi Frusawa

The rheology of dense sheared granular liquids is investigated based on the mode-coupling theory (MCT). This extended MCT includes correlations for the density-current mode as well as the density-density correlation mode, and a…

统计力学 · 物理学 2014-12-19 Koshiro Suzuki , Hisao Hayakawa

Mode-mode coupling theory is presented for the resonant pumping via dynamical tunneling processes in a deformed microcavity. From the steady-state solution of the coupled differential equations of chaotic modes and a high-Q regular mode,…

量子物理 · 物理学 2010-05-27 Kyungwon An , Juhee Yang

We present a theoretical study of transport properties of a liquid comprised of particles uist1:/home/sokrates/egorov/oldhome/Pap41/Submit > m abs.tex We present a theoretical study of transport properties of a liquid comprised of particles…

软凝聚态物质 · 物理学 2015-05-18 Lindsey Ann Shall , Sergei A. Egorov

A microscopic approach is presented for calculating general properties of interacting Brownian particles under steady shearing. We start from exact expressions for shear-dependent steady-state averages, such as correlation and structure…

软凝聚态物质 · 物理学 2009-07-02 Matthias Fuchs , Michael E. Cates

Mode-coupling theory for uniformly sheared underdamped systems with an isothermal condition is presented. As a result of the isothermal condition, it is shown that the shear stress exhibits significant relaxation at the alpha-relaxation…

统计力学 · 物理学 2013-02-27 Koshiro Suzuki , Hisao Hayakawa

We investigate the properties of a class of mode-coupling equations for the glass transition where the density mode decays into multiple relaxation channels. We prove the existence and uniqueness of the solutions for Newtonian as well as…

软凝聚态物质 · 物理学 2014-01-08 Simon Lang , Rolf Schilling , Thomas Franosch

The mode-coupling theory of the glass transition treats the dynamics of supercooled liquids in terms of two-point density correlation functions. Here we consider a generalized, hierarchical formulation of schematic mode-coupling equations…

统计力学 · 物理学 2014-11-27 Liesbeth M. C. Janssen , Peter Mayer , David R. Reichman

The hydrodynamic part of the velocity autocorrelation function of a granular fluid in the homogeneous cooling state has been calculated by using mode-coupling theory for a finite system with periodic boundary conditions. The existence of…

统计力学 · 物理学 2015-06-23 J. Javier Brey , M. J. Ruiz-Montero

Correlation functions and transport coefficients of self-diffusion and shear viscosity of a binary Lennard-Jones mixture with components differing only in their particle mass are studied up to high values of the mass ratio $\mu$, including…

软凝聚态物质 · 物理学 2015-05-13 W. Fenz , I. M. Mryglod , O. Prytula , R. Folk
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