Two-dimensional lattice vesicles and polygons

Publisher Website
Google Scholar
Abstract
The authors consider a lattice model of two-dimensional vesicles, in which the boundary of the vesicle is the perimeter of a self-avoiding polygon embeddable in the square lattice. With fixed boundary length m they incorporate an osmotic pressure difference by associating a fugacity with the area enclosed by the polygon. They derive rigorous results concerning the behaviour of the associated free energy and the form of the phase diagram. By deriving exact values of the numbers of polygons with m edges which enclose area n, and analysing the resulting series, they obtain the free energy, the phase boundary and various scaling exponents and amplitudes numerically.

This publication has 17 references indexed in Scilit: