PMID: 15244699Jul 13, 2004Paper

First-order phase transition of fixed connectivity surfaces

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Hiroshi KoibuchiMitsuru Yamada

Abstract

We report numerical evidence of the discontinuous transition of a tethered membrane model which is defined within a framework of the membrane elasticity of Helfrich. Two kinds of phantom tethered membrane models are studied via the canonical Monte Carlo simulation on triangulated fixed connectivity surfaces of spherical topology. One surface model is defined by the Gaussian term and the bending energy term, and the other, which is tensionless, is defined by the bending energy term and a hard wall potential. The bending energy is defined by using the normal vector at each vertex. Both models undergo the first-order phase transition characterized by a gap of the bending energy. The phase structure of the models depends on the choice of discrete bending energy.

References

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Citations

Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hiroshi KoibuchiKeisuke Shinohara
Oct 4, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hiroshi Koibuchi, Toshiya Kuwahata
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hiroshi Koibuchi
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J-P Kownacki, D Mouhanna
Nov 11, 2017·Nature Communications·David YllanesMark J Bowick
Jul 22, 2020·Physical Review. E·O CoquandS Teber
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hiroshi Koibuchi
May 21, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yoshihiro Nishiyama
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hiroshi Koibuchi
May 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·K EssafiD Mouhanna
Apr 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·N Hasselmann, F L Braghin
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yoshihiro Nishiyama

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