DEFLATED REGIME FOR PRESSURIZED RING POLYMERS WITH LONG-RANGE INTERACTIONS

Two-dimensional vesicles subject to osmotic pressure imbalance may be modeled as unrestricted random rings. Assuming a pressure that couples to the square of the oriented area we are able to obtain an exactly s olvable model that accommodates the deflated regime corresponding to a shriveled vesicle. Moreover, we investigated the effects of a long-ra nge repulsive, nonlocal interaction among monomers by employing a vari ational approach. We find good agreement between our analytical predic tions and Monte Carlo simulation results.