CRUMPLED-TO-TUBULE TRANSITION AND SHAPE TRANSFORMATIONS OF A MODEL OF SELF-AVOIDING SPHERICAL MESHWORK

Hiroshi Koibuchi () and Andrey Shobukhov
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Hiroshi Koibuchi: Department of Mechanical and Systems Engineering, Ibaraki National College of Technology, Nakane 866 Hitachinaka, Ibaraki 312-8508, Japan
Andrey Shobukhov: Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, 119991, Moscow, Leninskiye Gory, MSU, 2nd Educational Building, Russia

International Journal of Modern Physics C (IJMPC), 2013, vol. 24, issue 10, 1-14

Abstract: This paper analyzes a new self-avoiding (SA) meshwork model using the canonical Monte Carlo (MC) simulation technique on lattices that consist of connection-fixed triangles. The Hamiltonian of this model includes a SA potential and a pressure term. The model identifies a crumpled-to-tubule (CT) transition between the crumpled and tubular phases. This is a second-order transition, which occurs when the pressure difference between the inner and outer sides of the surface is close to zero. We obtain the Flory swelling exponents$\nu_R^2(=D_f/2)$and$\bar{\nu}_v$corresponding to the mean square radius of gyration$R_g^2$and enclosed volumeV, whereDfis the fractal dimension. The analysis shows that$\bar{\nu}_v$at the transition is almost identical to the one of the smooth phase of previously reported SA model which has no crumpled phase.

Keywords: Triangulated surface model; tubular phase; second-order transition; Monte Carlo; 11.25.-w; 64.60.-i; 68.60.-p; 87.10.-e; 87.15.ak (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1142/S0129183113500757

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