PHASE TRANSITION OF A MODEL OF CRYSTALLINE MEMBRANE

Hiroshi Koibuchi () and Mitsuru Yamada
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Hiroshi Koibuchi: Department of Mechanical Engineering, Ibaraki College of Technology, Nakane 866 Hitachinaka, Ibaraki 312-8508, Japan
Mitsuru Yamada: Department of Mathematical Sciences, Faculty of Sciences, Ibaraki University, Bunkyo 2-1-1, Mito, Ibaraki 310-8512, Japan

International Journal of Modern Physics C (IJMPC), 2000, vol. 11, issue 08, 1509-1518

Abstract: We study two-dimensional triangulated surfaces of sphere topology by the canonical Monte Carlo simulation. The coordination number of surfaces is made as uniform as possible. The triangulation is fixed in MC so that only the positionsXof vertices may be considered as the dynamical variable. The well-known Helfrich energy functionS = S1+ bS2is used for the definition of the model whereS1andS2are the area and bending energy functions respectively andbis the bending rigidity. The discretizations ofS1andS2are identical with that of our previous MC study for a model of fluid membranes. We find that the specific heats have peaks at finite bending rigidities and obtain the critical exponents of the phase transition by the finite-size scaling technique. It is found that our model of crystalline membranes undergoes an expected second order phase transition.

Keywords: Phase Transition; Crystalline Membrane; Monte Carlo; Critical Exponent; Finite-Size Scaling (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1142/S0129183100001462

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