Mapping of continuum and lattice models for describing the adsorption of an ideal chain anchored to a planar surface

An ideal polymer chain anchored to a planar surface is considered by using both lattice and continuum model approaches. A general equation relating the lattice and continuum model adsorption interaction parameters is derived in a consistent way by substituting the exact continuum solution for the free chain end distribution function into the lattice model boundary condition. This equation is not mathematically exact but provides excellent results. With the use of this relation the quantitative equivalence between lattice and continuum results was demonstrated for chains of both infinite and finite length and for all three regimes corresponding to attractive, repulsive and adsorption-threshold energy of polymer-surface interaction. The obtained equations are used to discuss the distribution functions describing the tail of an anchored macromolecule and its adsorbed parts. For the tail-related properties the results are independent of the microscopic details of the polymer chain and the adsorbing surface. O...

[1]  G. J. Fleer,et al.  Long minority chains in a polymer brush : A first-order adsorption transition , 1999 .

[2]  G. J. Fleer,et al.  Analytical approximation to the scheutjens-fleer theory for polymer adsorption from dilute solution. 2. Adsorbed amounts and structure of the adsorbed layer , 1999 .

[3]  B. Trathnigg,et al.  Reversed-phase high-performance liquid chromatography of polyethers: Comparison with a theory for flexible-chain macromolecules , 1998 .

[4]  L. Klushin,et al.  ADSORPTION OF A MACROMOLECULE IN AN EXTERNAL FIELD : AN EXACTLY SOLVABLE MODEL WITH BICRITICAL BEHAVIOR , 1997 .

[5]  Hanke,et al.  Polymers interacting with spherical and rodlike particles. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  A. Skvortsov,et al.  Statistical properties of confined macromolecules , 1995 .

[7]  L. A. Meijer,et al.  Modelling the interactions between phospholipid bilayer membranes with and without additives. , 1995 .

[8]  C. Guttman,et al.  Effect of Heterogeneous Energies on Adsorption Properties: Adsorption of Copolymers, Comb Polymers, and Stars onto a Surface , 1995 .

[9]  M. Kosmas,et al.  Chains in the presence of an interacting surface and different boundary conditions , 1995 .

[10]  L. Klushin,et al.  Adsorption‐stretching analogy for a polymer chain on a plane. Symmetry property of the phase diagram , 1994 .

[11]  G. J. Fleer,et al.  Polymers at Interfaces , 1993 .

[12]  I. Sanchez.  Physics of Polymer Surfaces and Interfaces , 1992 .

[13]  K. Freed,et al.  Polymers with excluded volume in various geometries: Renormalization group methods , 1987 .

[14]  T. Witten,et al.  Polymer adsorption on colloidal particles , 1984 .

[15]  Kurt Kremer,et al.  Adsorption of polymer chains at surfaces: Scaling and Monte Carlo analyses , 1982 .

[16]  P. Gennes.  Scaling Concepts in Polymer Physics , 1979 .

[17]  A. Caillé,et al.  The configuration of a polymer chain interacting with a plane interface , 1978 .

[18]  Frank L. McCrackin,et al.  Configuration of Isolated Polymer Molecules Adsorbed on Solid Surfaces Studied by Monte‐Carlo Computer Simulation , 1967 .

[19]  A. Silberberg.  Adsorption of Flexible Macromolecules. III. Generalized Treatment of the Isolated Macromolecule; The Effect of Self‐Exclusion , 1967 .

[20]  R. Rubin.  Random‐Walk Model of Chain‐Polymer Adsorption at a Surface , 1965 .

[21]  R. Roe.  CONFORMATION OF AN ISOLATED POLYMER MOLECULE AT AN INTERFACE. , 1965, Proceedings of the National Academy of Sciences of the United States of America.

[22]  F. McCrackin,et al.  One‐Dimensional Model of Polymer Adsorption , 1965 .

[23]  E. DiMarzio,et al.  Adsorption of Polymer Molecules at Low Surface Coverage , 1965 .

[24]  H. Frisch,et al.  Statistical Mechanics of Polymer Adsorption , 1953 .

[25]  D. H. Napper.  Polymeric stabilization of colloidal dispersions , 1983 .

[26]  G. J. Fleer,et al.  Statistical theory of the adsorption of interacting chain molecules. II. Train, loop, and tail size distribution , 1980 .

[27]  E. Casassa.  Comments on exclusion of polymer chains from small pores and its relation to gel permeation chromatography. , 1976, Macromolecules.

[28]  P. G. de Gennes,et al.  Some conformation problems for long macromolecules , 1969 .

[29]  S. Chandrasekhar.  Stochastic problems in Physics and Astronomy , 1943 .