Crossover from the O(2) to O(1) Universality Class in Equilibrium Polymerization

Authors

Rolfe G. Petschek, Case Western Reserve UniversityFollow

Document Type

Article

Publication Date

3-1-1985

Abstract

Equilibrium polymerization systems in which directed rings are formed correspond to O(2) vector models of magnetism and ones in which undirected rings form correspond to O(1) models. In this paper it is shown that a system in which polymers tend to form directed rings but there is a finite free energy for misdirected bonds corresponds to an O(2) model with a uniaxial anisotropy which causes it to crossover to an O(1) model.

Publication Title

Physical Review A

Rights

© 1985 The American Physical Society. Petschek R.G., Physical Review A 31:3, 1943-1945 (1985).

Recommended Citation

R. G. Petschek. Crossover from the O(2) to O(1) universality class in equilibrium polymerization. Phys. Rev. A 31, 1943, 1 March 1985