Self-avoiding walks in a slab of finite thickness: a model of steric stabilisation

The technique of exact enumeration coupled with series analysis has been used to study the behaviour of the properties of long self-avoiding walks on a square lattice slab as the thickness (D) of the slab is varied. Scaling arguments due to Daoud and de Gennes (1977) predict the variation of mean-square end-to-end distance and of free energy with D. The results obtained are consistent with these scaling predictions for the mean-equare end-to-end distance, but suggest that the free-energy crossover exponent is closer to unity than the value (4/3) predicted by scaling.

[1]  F. T. Wall,et al.  Self‐avoiding walks subject to boundary constraints , 1977 .

[2]  F. T. Wall,et al.  Configurations of macromolecular chains confined to strips or tubes , 1977 .

[3]  G. Torrie,et al.  Excluded volume effects in the stabilization of colloids by polymers , 1977 .

[4]  M. A. Moore,et al.  Comments on the Theory of Steric Stabilization , 1977 .

[5]  P. Gennes,et al.  Statistics of macromolecular solutions trapped in small pores , 1977 .

[6]  D. Chan,et al.  Conformational properties of a polymer confined between two adsorbing surfaces , 1976 .

[7]  M. Lal,et al.  A theoretical treatment of entropic repulsions by polymers , 1974 .

[8]  H. Knops.  Infinite spin dimensionality limit for nontranslationally invariant interactions , 1973 .

[9]  C. Domb.  Critical temperature of finite systems in d dimensions , 1973 .

[10]  Anthony J. Guttmann,et al.  The asymptotic behaviour of selfavoiding walks and returns on a lattice , 1972 .

[11]  F. Hesselink.  Theory of the stabilization of dispersions by adsorbed macromolecules. I. Statistics of the change of some configurational properties of adsorbed macromolecules on the approach of an impenetrable interface , 1971 .

[12]  G. A. Allan.  Critical Temperatures of Ising Lattice Films , 1970 .

[13]  F. Hesselink.  Density distribution of segments of a terminally adsorbed macromolecule , 1969 .

[14]  J. F. Padday.  The halide ion activity of dyes and organic salts in aqueous solution , 1967 .