First-order phase transition of the tethered membrane model on spherical surfaces

2005/10/29 by Isao Endo, Hiroshi Koibuchi · 5 citations
Computer Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Chaos-based Image/Signal Encryption #Stochastic processes and statistical mechanics #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1016/j.nuclphysb.2005.10.037

published as Nucl.Phys.B732[FS] (2006) 426-443 · 22 pages with 14 figures

arxiv created 2005/10/29 · openalex publication_date 2005/11/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We found that three types of tethered surface model undergo a first-order phase transition between the smooth and the crumpled phase. The first and the third are discrete models of Helfrich, Polyakov, and Kleinert, and the second is that of Nambu and Goto. These are curvature models for biological membranes including artificial vesicles. The results obtained in this paper indicate that the first-order phase transition is universal in the sense that the order of the transition is independent of discretization of the Hamiltonian for the tethered surface model.

Citations

• Scaling of Self-Avoiding Tethered Membranes: 2-Loop Renormalization Group Results
• The flat phase of fixed-connectivity membranes

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• Shape transformations of a compartmentalized fluid surface
• Phase Transition of Meshwork Models for Spherical Membranes
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• Phase structure of intrinsic curvature models on dynamically triangulated disk with fixed boundary length