Journal ArticleDOI
Nonequilibrium statistical mechanics of concentrated colloidal dispersions: Hard spheres in weak flows
William B. Russel,Alice P. Gast +1 more
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In this paper, the authors formulate a theory for the nonequilibrium structure and stresses in a sheared suspension with a fluid rest state, and demonstrate the importance of stresses arising from the structure and explain the shear rate dependence observed at volume fractions greater than 0.25-0.30.Abstract:
We formulate a theory for the nonequilibrium structure and stresses in a sheared suspension with a fluid rest state. Many body interactions are handled exactly in the thermodynamics but truncated at the pair level for the hydrodynamics. Evaluation for hard spheres in weak flows demonstrates the importance of stresses arising from the nonequilibrium structure and explains the shear rate dependence observed at volume fractions greater than 0.25–0.30.read more
Citations
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Journal ArticleDOI
The rheological behavior of concentrated colloidal dispersions
TL;DR: In this article, a simple model for the rheological behavior of concentrated colloidal dispersions is developed for a suspension of Brownian hard spheres, where two contributions to the macroscopic stress: a hydrodynamic and a Brownian stress.
Journal ArticleDOI
The rheology of Brownian suspensions
Georges Bossis,John F. Brady +1 more
TL;DR: In this article, the viscosity of a suspension of spherical Brownian particles is determined by Stokesian dynamics as a function of the Peclet number, and a theoretical derivation of the direct contribution of the Brownian motion to the bulk stress is given, along with results obtained from a simulation of a monolayer.
Journal ArticleDOI
Electrorheological fluids as colloidal suspensions
TL;DR: In this article, a review of the current understanding of the origin of electrorheology is described in the context of a fundamental discussion of the colloidal forces relevant to these suspensions.
Journal ArticleDOI
Hydrodynamic transport coefficients of random dispersions of hard spheres
TL;DR: In this article, the many-body hydrodynamic interactions are calculated from a multipole-moment expansion of the force density on the surface of the solid particles; the singular lubrication forces are included exactly for pairs of particles near contact.
Journal ArticleDOI
Flow-induced structure in colloidal suspensions
Jan Vermant,Michael J. Solomon +1 more
TL;DR: In this article, the authors review the sequences of structural states that can be induced in colloidal suspensions by the application of flow and examine the extent to which theory and simulation have yielded mechanistic understanding of the microstructural transitions that have been observed.
References
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Journal ArticleDOI
Brownian dynamics with hydrodynamic interactions
Donald L. Ermak,J. A. McCammon +1 more
TL;DR: In this article, a method for simulating the Brownian dynamics of N particles with the inclusion of hydrodynamic interactions is described, and the results are shown to be consistent with the corresponding Fokker-Planck results.
Journal ArticleDOI
The effect of Brownian motion on the bulk stress in a suspension of spherical particles
TL;DR: In this article, the effect of Brownian motion on the probability density of the separation vector of rigid spherical particles in a dilute suspension is investigated and an explicit expression for this leading approximation is constructed in terms of hydrodynamic interactions between pairs of particles.
Journal ArticleDOI
Equilibrium Theory of Simple Liquids
Loup Verlet,Jean-Jacques Weis +1 more
TL;DR: The perturbation theory of liquids developed recently by Weeks, Chandler, and Andersen (WCA) is examined in detail: each assumption introduced by these authors is tested by comparison with "exact" computer results as discussed by the authors.
Journal ArticleDOI
Brownian diffusion of particles with hydrodynamic interaction
TL;DR: In this paper, it is shown that the particle flux in probability space due to Brownian motion is the same as that which would be produced by the application of a certain "thermodynamic" force to each particle.
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