2015
DOI: 10.1103/physreve.92.042301
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Theory of rheology in confinement

Abstract: Viscosity of fluids is generally understood in terms of kinetic mechanisms, i.e. particle collisions, or thermodynamic ones as imposed through structural distortions upon e.g. applying shear. Often the latter are more relevant, which allows a simpler theoretical description, and e.g. (damped) Brownian particles can be considered good fluid model systems. We formulate a general theoretical approach for rheology in confinement, based on microscopic equations of motion and classical density functional theory. Spe… Show more

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Cited by 20 publications
(29 citation statements)
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“…(41) thus decay as power laws in space. These observations should have implications on the rheology of suspensions in confined systems [29,49,50]. The long-ranged property of the shear stress correlations has been noted in Ref.…”
Section: Exact Leading Order In Vmentioning
confidence: 60%
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“…(41) thus decay as power laws in space. These observations should have implications on the rheology of suspensions in confined systems [29,49,50]. The long-ranged property of the shear stress correlations has been noted in Ref.…”
Section: Exact Leading Order In Vmentioning
confidence: 60%
“…Future work can thus involve computing these correlations for the case of particle density and momentum conservation. The impact of such correlations on flow in confinement poses further interesting questions [29,50].…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…It has turned out as highly effective to characterize passive systems that are determined by overdamped relaxation-type dynamics. Examples are spinodal decomposition [66], phase separation of binary colloidal fluid mixtures [67], nucleation and crystal growth [68], colloidal dynamics within polymeric solutions [69], mixtures exposed to a temperature gradient [70], dewetting phenomena [71], liquid-crystalline systems [72], and rheology under confinement [73,74].…”
Section: Introductionmentioning
confidence: 99%
“…From the time evolution in the exact (Smoluchowski) low-density limit, Brownian dynamics simulations and a novel power functional approximation, we obtain a quantitative understanding of viscous and structural forces, including memory and shear migration.It is a very significant challenge of Statistical Physics to rationalize and predict nonequilibrium structure formation from a microscopic starting point. Primary examples include shear banding [1][2][3], where spatial regions of different shear rate coexist, laning transitions in oppositely driven colloids [4,5], where regions of different flow direction occur, as well as migration effects in inhomogeneous shear flow [6][7][8][9][10][11]. In computer simulations, discriminating true steady states from slow initial transients can be difficult [12,13].…”
mentioning
confidence: 99%