Abstract
A first-order transition is numerically found in a spherical surface model with skeletons, which are linked to each other at junctions. The shape of the triangulated surfaces is maintained by skeletons, which have a one-dimensional bending elasticity characterized by the bending rigidity b, and the surfaces have no two-dimensional bending elasticity except at the junctions. The surfaces swell and become spherical at large b and collapse and crumple at small b. These two phases are separated from each other by the first-order transition. Although both of the surfaces and the skeleton are allowed to self-intersect and, hence, phantom, our results indicate a possible phase transition in biological or artificial membranes whose shape is maintained by cytoskeletons.
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Koibuchi, H. Phase Transition of Triangulated Spherical Surfaces with Elastic Skeletons. J Stat Phys 127, 457–470 (2007). https://doi.org/10.1007/s10955-007-9287-z
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DOI: https://doi.org/10.1007/s10955-007-9287-z