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

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

2005-10-29

arxiv.org/abs/cond-mat/0510799v1

Nucl.Phys.B732[FS] (2006) 426-443

Physics

Condensed Matter

Soft Condensed Matter

22 pages with 14 figures

Scientific paper

10.1016/j.nuclphysb.2005.10.037

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.

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