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Theory and simulation of Brownian colloids suspended in an implicit solvent, with the hydrodynamics of the fluid accounted for by effective interactions between the colloids, are shown to yield a marked and hitherto unobserved discrepancy…

Soft Condensed Matter · Physics 2020-03-18 Duraivelan Palanisamy , Wouter K. den Otter

A central aim of statistical mechanics is to establish connections between a system's microscopic fluctuations and its macroscopic response to a perturbation. For non-equilibrium transport properties, this amounts to establishing Green-Kubo…

Statistical Mechanics · Physics 2024-11-28 Anna T. Bui , Stephen J. Cox

Near equilibrium, Green-Kubo relations provide microscopic expressions for macroscopic transport coefficients in terms of equilibrium correlation functions. At their core, they are based on the intimate relationship between response and…

Statistical Mechanics · Physics 2021-12-16 Hyun-Myung Chun , Qi Gao , Jordan M. Horowitz

We have developed a Green-Kubo relation that enables accurate calculations of friction at solid-liquid interfaces directly from equilibrium molecular dynamics (MD) simulations and that provides a pathway to bypass the time-scale limitations…

Statistical Mechanics · Physics 2016-08-08 Kai Huang , Izabela Szlufarska

We study the rheological signatures of departure from equilibrium in two-dimensional viscous fluids with and without internal spin. Under the assumption of isotropy, we provide the most general linear constitutive relations for stress and…

Statistical Mechanics · Physics 2020-06-24 Jeffrey M. Epstein , Kranthi K. Mandadapu

The theoretical Green-Kubo relation for viscosity is tested using experimentally obtained data. In a dusty plasma experiment, micron-size dust particles are introduced into a partially-ionized argon plasma, where they become negatively…

Plasma Physics · Physics 2015-05-30 Yan Feng , J. Goree , Bin Liu , E. G. D. Cohen

Recently there have been several considerations by different authors of viscosity and the Green-Kubo stress correlation function from the microscopic perspective. In most of these and earlier works the atomic level stress is the minimal…

Soft Condensed Matter · Physics 2018-10-17 V. A. Levashov

We consider the nonlinear rheology of dense colloidal suspensions under a time-dependent simple shear flow. Starting from the Smoluchowski equation for interacting Brownian particles advected by shearing (ignoring fluctuations in fluid…

Soft Condensed Matter · Physics 2009-11-11 J. M. Brader , T. Voigtmann , M. E. Cates , M. Fuchs

Starting from the stochastic equation for the density operator, we formulate the exact (instantaneous) stress tensor for interacting Brownian particles, whose average value agrees with expressions derived previously. We analyze the relation…

Soft Condensed Matter · Physics 2018-04-04 M. Krüger , A. Solon , V. Démery , C. M. Rohwer , D. S. Dean

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

The correlations of the fluctuating stress tensor are calculated in an equilibrium molecular-dynamics simulation of a Lennard--Jones liquid. We define a coarse-grained local stress tensor which can be calculated numerically and which allows…

Soft Condensed Matter · Physics 2012-01-19 Michael Schindler

The mechanical response of static, unconfined, overcompressed face centred cubic, granular arrays is studied using large-scale, discrete element method simulations. Specifically, the stress response due to the application of a localised…

Soft Condensed Matter · Physics 2015-06-24 Abdullah Cakir , Leonardo E. Silbert

Using high-speed confocal microscopy, we measure the particle positions in a colloidal suspension under large amplitude oscillatory shear. Using the particle positions we quantify the in situ anisotropy of the pair-correlation function -- a…

Soft Condensed Matter · Physics 2015-06-16 Neil Y. C Lin , Sushmit Goyal , Xiang Cheng , Roseanna N. Zia , Fernando Escobedo , Itai Cohen

We report on a further investigation of a new method that can be used to address vibrational dynamics and propagation of stress waves in liquids. The method is based on the decomposition of the macroscopic Green-Kubo stress correlation…

Materials Science · Physics 2015-06-22 V. A. Levashov

Explicit expressions for the transport coefficients of a recently introduced stochastic model for simulating fluctuating fluid dynamics are derived in three dimensions by means of Green-Kubo relations and simple kinetic arguments. The…

Statistical Mechanics · Physics 2009-11-10 Erkan Tuzel , Martin Strauss , Thomas Ihle , Daniel M. Kroll

We examine the response of a dense colloidal suspension to a local force applied by a small magnetic bead. For small forces, we find a linear relationship between the force and the displacement, suggesting the medium is elastic, even though…

Soft Condensed Matter · Physics 2013-02-28 D. Anderson , D. Schaar , H. G. E. Hentschel , J. Hay , Piotr Habdas , Eric R. Weeks

A comparison is made between the nonlinear rheological response of bulk metallic glass formers and of colloidal dispersions. Stress-strain curves measured after switch-on of constant deformation rates are analyzed quantitatively using a…

Near field radiative heat transfer and dynamic Casimir forces are just two instances of topics of technological and fundamental interest studied via the formalism of fluctuational electrodynamics. From the perspective of experiment and…

Quantum Physics · Physics 2015-06-16 Vladyslav A. Golyk , Matthias Krüger , Mehran Kardar

We review recent advances in imaging the flow of concentrated suspensions, focussing on the use of confocal microscopy to obtain time-resolved information on the single-particle level in these systems. After motivating the need for…

Soft Condensed Matter · Physics 2015-05-13 Lucio Isa , Rut Besseling , Andrew B Schofield , Wilson C K Poon

Determining the transport properties of Quark-Gluon Plasma is one of the most important aspects of relativistic heavy ion collision studies. Field-theoretical calculations of the transport coefficients such as the shear and bulk viscosities…

High Energy Physics - Phenomenology · Physics 2026-05-07 Sangyong Jeon , Alina Czajka , Juhee Hong
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