title: Geometry, topology, and universality of random surfaces.
abstract: Previous simulations of a self-avoiding, closed random surface with restricted topology (without handles) on a three-dimensional lattice have shown that its behavior on long length scales is consistent with that of a branched-polymer. It is shown analytically that such a surface with an unrestricted number of handles has a qualitatively different geometry and therefore is in a different universality class. The effect of a net external pressure is to suppress the handles and collapse the surface into a branched polymer-like configuration. Topology is thus shown to be a key factor in determining the universality class of the system.
authors.forename: J R
authors.initials: JR
authors.lastname: Banavar
authors.forename: A
authors.initials: A
authors.lastname: Maritan
authors.forename: A
authors.initials: A
authors.lastname: Stella