School Seminars and Colloquia

A directed walk model of a long chain polymer in a slit with attractive walls

Mathematical Physics Seminar

by Aleks Owczarek

Institution: Department of Mathematics and Statistics, The University of Melbourne
Date: Thu 16th June 2005
Time: 3:15 PM
Location: Room 213, Richard Berry Building

Abstract: We present the exact solutions of various directed walk
models of polymers confined to a slit and interacting with the walls
of the slit via an attractive potential. Apart from the general
interest in the effect of geometrical confinement this can be viewed
as a two-dimensional model of steric stabilization and sensitized
flocculation of colloidal dispersions. We demonstrate that the large
width limit admits a phase diagram that is markedly different from the
one found in a half-plane geometry, even when the polymer is
constrained to be fixed at both ends on one wall. While we concentrate
on the long chain limit we shall also discuss some preliminary
results, in particular a scaling ansatz, for finite lengths.

For More Information: Iwan Jensen tel: 8344-5214 email: