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Depletion of ideal polymer chains near a spherical colloid particle beyond the Dirichlet boundary conditions
I. Erukhimovich1*, A. Johner2 and J. F. Joanny3
Moscow State University, 119992, Moscow, Russia
2 Institut Charles Sadron, Université de Strasbourg, CNRS UPR 22, 23 rue du Loess, BP 84047, F-67034, Strasbourg Cedex, France
3 Physicochimie Curie, Institut Curie Section Recherche, 26 rue d’Ulm, 75248, Paris, France
* e-mail: firstname.lastname@example.org
Published online: 20 February 2010
We reconsider the depletion interaction of an ideal polymer chain, characterized by the gyration radius RG and bond length a , and an impenetrable spherical colloid particle of radius R . Forbidding the polymer-colloid penetration explicitly (by the use of Mayer functions) without any other requirement we derive and solve analytically an integral equation for the chain partition function of a long ideal polymer chain for the spherical geometry. We find that the correction to the solution of the Dirichlet problem depends on the ratios R/R G and R/a . The correction vanishes for the continuous chain model (i.e. in the limit R/R G → 0 and R/a → ∞ but stays finite (even for an infinite chain) for the discrete chain model. The correction can become substantial in the case of nano-colloids (the so-called protein limit).
© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2010