TITLE

Self-consistent-field theory for hard-sphere chains close to hard walls

AUTHOR(S)
Björling, Mikael; Linse, Per
PUB. DATE
November 1992
SOURCE
Journal of Chemical Physics;11/1/1992, Vol. 97 Issue 9, p6890
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A continuum theory for confined hard-sphere polymers is presented. Starting from fundamental relations and applying defined approximations, a constitutive relation for the conformation probability (analogous to the result in mean-field lattice theories) is developed. The main problem of hard-sphere correlations is attacked by two approximate methods: First, using the Carnahan–Starling equation of state and local volume fractions (CS). Second, by an extension of the lattice theory to spherical components with unequal volumes (LATT). The agreement with Monte Carlo simulations is good for both approximations at low densities, but becomes only qualitative at the higher concentrations. The CS approximation seems to be favored over the LATT approach at the higher concentrations when correlation becomes more important. Both free and grafted chains are treated. The influence of chain length, grafting density, solvent concentration, solvent chain length, and surface curvature on the segment distribution is investigated.
ACCESSION #
7619559

 

Related Articles

  • A lattice model for self-avoiding polymers with controlled length distributions. II. Corrections to Flory–Huggins mean field. Bawendi, M. G.; Freed, Karl F.; Mohanty, Udayan // Journal of Chemical Physics;6/15/1986, Vol. 84 Issue 12, p7036 

    We continue the analysis of the lattice spin-field theory which is introduced in paper I and which formally gives the exact entropy for a set of completely flexible self-avoiding polymers on a lattice. The model allows for arbitrary chain length distributions and arbitrary polymer volume...

  • Lattice model of living polymerization. II. Interplay between polymerization and phase stability. Dudowicz, Jacek; Freed, Karl F.; Douglas, Jack F. // Journal of Chemical Physics;1/8/2000, Vol. 112 Issue 2 

    Representative spinodal curves and polymerization lines for the equilibrium polymerization of linear polymers in a solvent have been calculated using a Flory-Huggins-type mean-field theory. The calculations are primarily restricted to systems that polymerize upon cooling, but examples are also...

  • On the reliability of mean-field methods in polymer statistical mechanics. Tsonchev, Stefan; Coalson, Rob D.; Chern, Shyh-Shi; Duncan, Anthony // Journal of Chemical Physics;11/8/2000, Vol. 113 Issue 18 

    The reliability of the mean-field approach to polymer statistical mechanics is investigated by comparing results from a recently developed lattice mean-field theory (LMFT) method to statistically exact results from two independent numerical Monte Carlo simulations for the problems of a polymer...

  • Frustration and absence of long range order on the corner sharing-tetrahedron lattice within mean field theory (abstract). Berlinsky, A. J.; Reimers, J. N.; Shi, A.-C. // Journal of Applied Physics;4/15/1991, Vol. 69 Issue 8, p6182 

    Presents an abstract of the study 'Frustration and Absence of Long Range Order on the Corner Sharing-Tetrahedron Lattice Within Mean Field Theory,' by A.J. Berlinsky, J.N. Reimers and A.-C. Shi.

  • Random sequential multilayer deposition of different-sized k mers on a one dimensional infinite substrate. Bhattacharjee, Biplab; Rangarajan, S. K. // Journal of Chemical Physics;12/1/1993, Vol. 99 Issue 11, p8897 

    Kinetics of random sequential, irreversible multilayer deposition of macromolecules of two different sizes on a one dimensional infinite lattice is analyzed at the mean field level. A formal solution for the corresponding rate equation is obtained. The Jamming limits and the distribution of gaps...

  • Reentrant phase transition of N-isopropylacrylamide gels in mixed solvents. Amiya, Takayuki; Hirokawa, Yoshitsugu; Hirose, Yoshiharu; Li, Yong; Tanaka, Toyoichi // Journal of Chemical Physics;2/15/1987, Vol. 86 Issue 4, p2375 

    Reentrant volume–phase transitions are observed in N-isopropyoacrylamide gels in the methanol–water mixtures. When the solvent composition is varied systematically, the gel undergoes two transitions: a discontinuous collapsing followed by a discontinuous swelling. The reentrant...

  • Reptation as a dynamic mean-field theory: Self and tracer diffusion in a simple model of rodlike polymers. Szamel, Grzegorz; Schweizer, Kenneth S. // Journal of Chemical Physics;2/15/1994, Vol. 100 Issue 4, p3127 

    The simplest model of entangling polymers, a semidilute solution of hard infinitely thin rods that perform only translational Brownian motion, is studied. An approximate microscopic theory of self and tracer diffusion is presented. Within this theory independent binary collisions are modified to...

  • Mean field theory of polymer crossover behavior. Deutch, J. M.; Hentschel, H. G. E. // Journal of Chemical Physics;7/1/1986, Vol. 85 Issue 1, p527 

    An argument is presented that the exponent previously employed to describe crossover behavior of either a linear or randomly branched polymer from the theta region to the swollen or collapsed state is inconsistent with the mean field description of the polymer free energy. In place of the...

  • A new mean-field theory for dilute polymer solutions: Phase diagram, conformational behavior and interfacial properties. Szleifer, I. // Journal of Chemical Physics;6/1/1990, Vol. 92 Issue 11, p6940 

    A new mean-field theory for dilute polymer solutions is presented. The approach is based on looking at a polymer molecule in the mean-field of the solution. This has the advantage of allowing the conformational behavior of the chain molecules and the thermodynamic properties of the solution to...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics