Randomly triangulated, self-avoiding surfaces with topology of a spher
e have been studied by use of Monte Carlo simulation techniques. Flexi
ble surfaces with small bending elasticity moduli kappa are considered
. Analysis of surface characteristics like volume, enthalpy and radius
of gyration support that self-avoiding, fluid surfaces display proper
ties of branched polymers at length scales larger than some persistenc
e length xi(p)(kappa). The simulation data can be rationalized in term
s of simple phenomenological scaling relations and mean-field theory.
Estimates of xi(p)(kappa) up to a multiplicative factor are given.