title: Single homopolymers in the relative density representation.
abstract: A single symmetric homopolymer is studied in the grand ensemble of its monomeric units. For an arbitrary external field but next neighbor interactions alone, such a system is represented as a functional of the local density to local fugacity ratio, conjugate to the fugacity, with the excess grand potential as thermodynamic generating function. A sample case in a spherical enclosure is solved, where a complementary exclusion from a spherical volume requires an extension to a grand ensemble of polymers. A preliminary extension is also made in mean field form to non-neighbor interactions, as well as to nonsymmetric interactions.
authors.affiliation: Chemistry Department, State University at Albany, Albany, New York 12222, USA.
authors.forename: H L
authors.initials: HL
authors.lastname: Frisch
authors.forename: J K
authors.initials: JK
authors.lastname: Percus