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Phase Transition of a Skeleton Model for Surfaces

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Computational Intelligence and Bioinformatics (ICIC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNBI,volume 4115))

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Abstract

A spherical model of skeleton with junctions is investigated by Monte Carlo simulations. The model is governed by one-dimensional bending energy. The results indicate that the model undergoes a first-order transition, which separates the smooth phase from the crumpled phase. The existence of phase transition indicates that junctions play a non-trivial role in the transition.

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References

  1. Helfrich, W.: Elastic Properties of Lipid Bilayers: Theory and Possible Experiments. Z. Naturforsch. 28c, 693–703 (1973)

    Google Scholar 

  2. Polyakov, A.M.: Fine Structure of Strings. Nucl. Phys. B 268, 406–412 (1986)

    Article  MathSciNet  Google Scholar 

  3. Kleinert, H.: The Membrane Properties of Condensing Strings. Phys. Lett. B 174, 335–338 (1986)

    Article  MathSciNet  Google Scholar 

  4. Nelson, D.: The Statistical Mechanics of Membranes and Interfaces. In: Nelson, D., Piran, T., Weinberg, S. (eds.) Statistical Mechanics of Membranes and Surfaces, 2nd edn., pp. 1–16. World Scientific, Singapore (2004)

    Google Scholar 

  5. Gompper, G., Schick, M.: Self-assembling Amphiphilic Systems. In: Domb, C., Lebowitz, J.L. (eds.) Phase Transitions and Critical Phenomena 16, pp. 1–176. Academic Press, London (1994)

    Google Scholar 

  6. Bowick, M., Travesset, A.: The Statistical Mechanics of Membranes. Phys. Rep. 344, 255–308 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  7. Peliti, L., Leibler, S.: Effects of Thermal Fluctuations on Systems with Small Surface Tension. Phys. Rev. Lett. 54(15), 1690–1693 (1985)

    Article  Google Scholar 

  8. David, F., Guitter, E.: Crumpling Transition in Elastic Membranes: Renormalization Group Treatment. Europhys. Lett. 5(8), 709–713 (1988)

    Article  Google Scholar 

  9. Paczuski, M., Kardar, M., Nelson, D.R.: Landau Theory of the Crumpling Transition. Phys. Rev. Lett. 60, 2638–2640 (1988)

    Article  Google Scholar 

  10. Kantor, Y., Nelson, D.R.: Phase Transitions in Flexible Polymeric Surfaces. Phys. Rev. A 36, 4020–4032 (1987)

    Article  MathSciNet  Google Scholar 

  11. Kownacki, J.-P., Diep, H.T.: First-order Transition of Tethered Membranes in Three-dimensional Space. Phys. Rev. E 66, 066105(1– 5) (2002)

    Google Scholar 

  12. Koibuchi, H., Kuwahata, T.: First-order Phase Transition in the Tethered Surface Model on a Sphere. Phys. Rev. E 72, 026124(1–6) (2005)

    Google Scholar 

  13. Endo, I., Koibuchi, H.: First-order Phase Transition of the Tethered Membrane Model on Spherical Surfaces. Nucl. Phys. B 732 [FS], 426–443 (2006)

    Article  Google Scholar 

  14. Chaieb, S., Natrajan, V.K., El-rahman, A.A.: Glassy Conformation in Wrinkled Membranes. Phys. Rev. Lett. 96, 078101(1–4) (2006)

    Google Scholar 

  15. Murase, K., Fujiwara, T., Umehara, Y., Suzuki, K., Iino, R., Yamashita, H., Saito, M., Murakoshi, H., Ritohie, K., Kusumi, A.: Ultrafine Membrane Compartments for Molecular Diffusion as Revealed by Single Molecule Techniques. Biol. J. 86, 4075–4093 (2004)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Ibaraki National College of Technology, Nakane 866, Hitachinaka, Ibaraki, 312-8508, Japan

    Hiroshi Koibuchi

Authors
  1. Hiroshi Koibuchi
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Editor information

Editors and Affiliations

  1. Institute of Intelligent Machines, Chinese Academy of Sciences, Hefei, Anhui, China

    De-Shuang Huang

  2. Queen’s University, Belfast, UK

    Kang Li  & George William Irwin  & 

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© 2006 Springer-Verlag Berlin Heidelberg

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Koibuchi, H. (2006). Phase Transition of a Skeleton Model for Surfaces. In: Huang, DS., Li, K., Irwin, G.W. (eds) Computational Intelligence and Bioinformatics. ICIC 2006. Lecture Notes in Computer Science(), vol 4115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11816102_24

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  • DOI: https://doi.org/10.1007/11816102_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37277-6

  • Online ISBN: 978-3-540-37282-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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