Finite-N effects for ideal polymer chains near a flat impenetrable wall
Cited 8 times inCited 7 times in
- Finite-N effects for ideal polymer chains near a flat impenetrable wall
- Matsen, M. W.; Kim, Jaeup U.; Likhtman, A. E.
- 05.70.Np Interface and surface thermodynamics; 61.25.he Polymer solutions; 82.35.Gh Polymers on surfaces adhesion; Dependent functions; Diffusion equations; Dirichlet boundary condition; Gaussian corrections; Hard walls; Impenetrable walls; Monomer density; Partition functions; Polymer chains; Positive coefficients; Quantity of interest; Robin boundary conditions
- Issue Date
- EUROPEAN PHYSICAL JOURNAL E, v.29, no.1, pp.107 - 115
- This paper addresses the statistical mechanics of ideal polymer chains next to a hard wall. The principal quantity of interest, from which all monomer densities can be calculated, is the partition function, G(N)(z), for a chain of N discrete monomers with one end fixed a distance z from the wall. It is well accepted that in the limit of infinite N, G(N)(z) satisfies the diffusion equation with the Dirichlet boundary condition, G(N)(0) = 0, unless the wall possesses a sufficient attraction, in which case the Robin boundary condition, G(N)(0) = -xi G'(N)(0), applies with a positive coefficient, xi. Here we investigate the leading N(-1/2) correction, G(N)(z). Prior to the adsorption threshold, Delta G(N)(z) is found to involve two distinct parts: a Gaussian correction (for z less than or similar to aN(1/2)) with a model-dependent amplitude, A, and a proximal-layer correction (for z less than or similar to a) described by a model-dependent function, B(z).
- ; Go to Link
- Appears in Collections:
- SNS_Journal Papers
- Files in This Item:
can give you direct access to the published full text of this article. (UNISTARs only)
Show full item record
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.