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 solvable model that accommodates the deflated regime corresponding to a shriveled vesicle. Moreover, we investigated the effects of a long-range repulsive, nonlocal interaction among monomers by employing a variational approach. We find good agreement between our analytical predictions and Monte Carlo simulation results.
Deflated Regime For Pressurized Ring Polymers With Long-range Interactions
MARITAN, AMOS
1993
Abstract
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 solvable model that accommodates the deflated regime corresponding to a shriveled vesicle. Moreover, we investigated the effects of a long-range repulsive, nonlocal interaction among monomers by employing a variational approach. We find good agreement between our analytical predictions and Monte Carlo simulation results.
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