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

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 m...

Full description

Saved in:
Bibliographic Details
Published inNuclear physics. B Vol. 732; no. 3; pp. 426 - 443
Main Authors Endo, Isao, Koibuchi, Hiroshi
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.2006
Subjects
Bending energy
Crumpling transition
First-order transition
Surface model
64.60.-i
68.60.-p
First-order transition
Bending energy
Crumpling transition
Surface model
87.16.Dg
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2005.10.037