PMID: 11308841Apr 20, 2001Paper

Inhomogeneous model colloid-polymer mixtures: adsorption at a hard wall

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
J M BraderR Evans

Abstract

We study the equilibrium properties of inhomogeneous model colloid-polymer mixtures. By integrating out the degrees of freedom of the ideal polymer coils, we derive a formal expression for the effective one-component Hamiltonian of the (hard sphere) colloids that is valid for arbitrary external potentials acting on both the colloids and the polymers. We show how one can recover information about the distribution of polymer in the mixture given knowledge of the colloid correlation functions calculated using the effective one-component Hamiltonian. This result is then used to furnish the connection between the free-volume and perturbation theory approaches to determining the bulk phase equilibria. For the special case of a planar hard wall the effective Hamiltonian takes an explicit form, consisting of zero-, one-, and two-body, but no higher-body, contributions provided the size ratio q=sigma(p)/sigma(c)<0.1547, where sigma(c) and sigma(p) denote the diameters of colloid and polymer respectively. We employ a simple density functional theory to calculate colloid density profiles from this effective Hamiltonian for q=0.1. The resulting profiles are found to agree well with those from Monte Carlo simulations for the same Hamiltonia...Continue Reading

References

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Citations

Aug 17, 2012·Journal of the Royal Society, Interface·Gary DorkenWilson C K Poon
Sep 16, 2008·The European Physical Journal. E, Soft Matter·C Gögelein, R Tuinier
Jan 22, 2008·The Journal of Chemical Physics·Andrea FortiniMarjolein Dijkstra
Nov 5, 2005·The Journal of Chemical Physics·R B Jones
Feb 3, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Paul P F WesselsHartmut Löwen
Feb 28, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Matthias Schmidt, Alan R Denton
Jun 21, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M DijkstraR Evans
Feb 28, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Matthias Schmidt
Oct 9, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Joseph M BraderMatthias Schmidt
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Christian MayerHartmut Löwen
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R L C Vink, Matthias Schmidt
May 23, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marjolein DijkstraAndrea Fortini
Jun 29, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Andrea FortiniMarjolein Dijkstra
Jun 29, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jan Forsman, Clifford E Woodward
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A RicciK Binder
Dec 3, 2016·The Journal of Chemical Physics·Christoph E SittaHartmut Löwen
Sep 1, 2018·Physical Review Letters·Fabian CoupetteAndreas Härtel
Nov 22, 2002·Physical Review Letters·Marjolein Dijkstra, René van Roij
Nov 3, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S C Kim, P T Cummings
May 7, 2005·Langmuir : the ACS Journal of Surfaces and Colloids·M ZackrissonJ Bergenholtz
Jul 21, 2006·The Journal of Physical Chemistry. B·A Moncho-JordáA A Louis

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