Abstract
We study the possibility of a cancellation between the entropic bending rigidity due to self-avoiding interaction and negative bending rigidity. Results of Monte Carlo simulation show that a self-avoiding polymerized membrane with negative bending rigidity exhibits a phase transition from the usual floppy flat phase to a rigid folded flat (thin plate) phase. Even for flexible membranes, the complete cancellation does not occur. Based on these results, we discuss the problems in theoretical approaches to the phase transitions of polymerized membranes.
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