Document Type
Article
Publication Date
4-1-1989
Publication Title
Physical Review B
Abstract
The equilibrium polymerization problem is solved exactly on the equivalent-neighbor lattice. The Flory-Huggins entropy of mixing is exact for this lattice. We verify the discrete version of the n-vector model when n→0 is equivalent to the equal reactivity polymerization process in the whole parameter space, including the polymerized phase. The polymerization processes for polymers satisfying the Schulz distribution exhibit nonuniversal critical behavior. A close analogy is found between the polymerization problem of index r and the Bose-Einstein ideal gas in d=-2r dimensions, with the critical polymerization corresponding to the Bose-Einstein condensation.
Repository Citation
Kaufman, Miron, "Equilibrium Polymerization on the Equivalent-Neighbor Lattice" (1989). Physics Faculty Publications. 1.
https://engagedscholarship.csuohio.edu/sciphysics_facpub/1
Original Citation
Kaufman, Miron. "Equilibrium Polymerization on the Equivalent-Neighbor Lattice." Physical Review B 39 (1989): 6898-6906.
DOI
10.1103/PhysRevB.39.6898
Version
Publisher's PDF
Publisher's Statement
Copyright 1989 American Physical Society. Available on publisher's site at http://link.aps.org/doi/10.1103/PhysRevB.39.6898.
Volume
39
Issue
10
