First-order phase transition of the tethered membrane model on spherical surfaces |
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| Affiliation: | 1. Department of Electrical and Electronic System Engineering, Ibaraki College of Technology, Nakane 866, Hitachinaka, Ibaraki 312-8508, Japan;2. Department of Mechanical and Systems Engineering, Ibaraki College of Technology, Nakane 866, Hitachinaka, Ibaraki 312-8508, Japan;1. Instituto Politécnico Nacional, Centro de Investigación en Computación, Av. Juan de Dios Batíz s/n Unidad Profesional Adolfo López Mateos, Col. Nueva Industrial Vallejo, Distrito Federal, 07738 México, Mexico;2. Centro de Investigación Avanzada en Ingeniería Industrial, Universidad Autónoma del Estado de Hidalgo, Carr. Pachuca-Tulancingo Km. 4.5, Pachuca Hidalgo, 42184 México, Mexico;1. Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania;2. National Institute of Standards and Technology, Center for Neutron Research, Gaithersburg, Maryland;3. Institute for Bioscience and Biotechnology Research, Rockville, Maryland;4. Department of Biomedical Engineering, Carnegie Mellon University, Pittsburgh, Pennsylvania;1. Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario, Canada;2. Department of Biology, University of Waterloo, Waterloo, Ontario, Canada;3. Waterloo Institute of Nanotechnology, University of Waterloo, Waterloo, Ontario, Canada;4. Department of Physics, University of Guelph, Guelph, Ontario, Canada;1. Computational Science & Engineering Laboratory, ETH Zurich, Zurich, Switzerland;2. Laboratory for Molecular Modeling, National Institute of Chemistry, Ljubljana, Slovenia;3. Theoretical Physics Department, J. Stefan Institute, Ljubljana, Slovenia;4. Department of Physics, Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia |
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| 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. |
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