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- Title
Depletion of ideal polymer chains near a spherical colloid particle beyond the Dirichlet boundary conditions.
- Authors
Erukhimovich, I.; Johner, A.; Joanny, J. F.
- Abstract
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/ RG and R/ a . The correction vanishes for the continuous chain model ( i.e. in the limit R/ RG → 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).
- Subjects
POLYMERS; COLLOIDS; PENETRATION mechanics; INTEGRAL equations; GEOMETRY; DIRICHLET problem; MATHEMATICAL models
- Publication
European Physical Journal E -- Soft Matter, 2010, Vol 31, Issue 2, p115
- ISSN
1292-8941
- Publication type
Article
- DOI
10.1140/epje/i2010-10568-4