VESICLES, THE TRICRITICAL-0-STATE POTTS-MODEL, AND THE COLLAPSE OF BRANCHED POLYMERS

We relate a cycle model for the collapse of branched polymers without holes (in d = 2) to the problem of self-avoiding rings with an area fu gacity, studied in the context of vesicles. This relation together wit h arguments which show that the collapse transition of branched polyme rs (with holes) is described by the tricritical-zero-state Potts model allows a determination of all critical exponents at this collapse poi nt; nu = 1/2, phi = 2/3, tau = 2, in agreement with numerical results. We also comment on the universality of this result.