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From local to hydrodynamic friction in Brownian motion: A multiparticle collision dynamics simulation study | | Mario Theers
; Elmar Westphal
; Gerhard Gompper
; Roland G. Winkler
; | | Date: |
9 Mar 2016 | | Abstract: | The friction and diffusion coefficients of rigid spherical colloidal
particles dissolved in a fluid are determined from velocity and force
autocorrelation functions by mesoscale hydrodynamic simulations. Colloids with
both slip and no-slip boundary conditions are considered, which are embedded in
fluids modelled by multiparticle collision dynamics (MPC) with and without
angular momentum conservation. For no-slip boundary conditions, hydrodynamics
yields the well-known Stokes law, while for slip boundary conditions the lack
of angular momentum conservation leads to a reduction of the hydrodynamic
friction coefficient compared to the classical result. The colloid diffusion
coefficient is determined by integration of the velocity autocorrelation
function, where the numerical result at shorter times is combined with the
theoretical hydrodynamic expression for longer times. The suitability of this
approach is confirmed by simulations of sedimenting colloids. In general, we
find only minor deviations from the Stokes-Einstein relation, which even
disappear for larger colloids. Importantly, for colloids with slip boundary
conditions, our simulation results contradict the frequently assumed additivity
of local and hydrodynamic diffusion coefficients. | | Source: | arXiv, 1603.2888 | | Services: | Forum | Review | PDF | Favorites | |
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