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

2006/07/20 by Tomohiro Endo, T. Endo, Endo, T. +9
Computer Science · Mathematics · Physics and Astronomy · #Computer Graphics and Visualization Techniques #FOS: Physical sciences #Mathematical Dynamics and Fractals #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0607508

17 pages with 9 figures

openalex publication_date 2006/07/20 · arxiv created 2006/08/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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