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A compartmentalized surface model of Nambu and Goto is studied ontriangulated spherical surfaces by using the canonical Monte Carlo simulationtechnique. One-dimensional bending energy is defined on the skeletons and atthe junctions, and the mechanical strength of the surface is supplied by theone-dimensional bending energy defined on the skeletons and junctions. Thecompartment size is characterized by the total number L^\prime of bonds betweenthe two-neighboring junctions and is assumed to have values in the range fromL^\prime=2 to L^\prime=8 in the simulations, while that of the previouslyreported model is characterized by L^\prime=1, where all vertices of thetriangulated surface are the junctions. Therefore, the model in this paper isconsidered to be an extension of the previous model in the sense that theprevious model is obtained from the model in this paper in the limit ofL^\prime\to1 The model in this paper is identical to the Nambu-Goto surfacemodel without curvature energies in the limit of L^\prime\to \infty and henceis expected to be ill-defined at sufficiently large L^\prime. One remarkableresult obtained in this paper is that the model has a well-defined smooth phaseeven at relatively large L^\prime just as the previous model of L^\prime\to1.It is also remarkable that the fluctuations of surface in the smooth phase arecrucially dependent on L^\prime; we can see no surface fluctuation whenL^\prime\leq2, while relatively large fluctuations are seen when L^\prime\geq3.

Shape transformation transitions in a model of fixed-connectivity surfaces supported by skeletons