Phase transition of triangulated spherical surfaces supported by elastic chains with rigid junctions

T. Endo; M. Egashira; S. Obata; H. Koibuchi

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Phase transition of triangulated spherical surfaces supported by elastic chains with rigid junctions

T. Endo·M. Egashira·S. Obata·H. Koibuchi

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Abstract

A surface model with skeletons is investigated by using the canonical Monte Carlo simulations. The skeleton is composed of linear chains, which are joined to each other at the rigid junctions. A one-dimensional bending energy is defined on the linear chains, and no two-dimensional curvature energy is assumed on the surface. The model undergoes a first-order transition between the smooth phase and the crumpled phase. We conclude that the first-order transition of the surface model with skeletons is independent of whether the junctions are elastic or rigid.

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T. Endo, M. Egashira, S. Obata, H. Koibuchi. 2006-08-03. Phase transition of triangulated spherical surfaces supported by elastic chains with rigid junctions. https://arxiv.org/abs/cond-mat/0607508

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