Shape transformation transitions of a tethered surface model

Abstract

A surface model of Nambu and Goto is studied statistical mechanically by using the canonical Monte Carlo simulation technique on a spherical meshwork. The model is defined by the area energy term and a one-dimensional bending energy term in the Hamiltonian. We find that the model has a large variety of phases; the spherical phase, the planar phase, the long linear phase, the short linear phase, the wormlike phase, and the collapsed phase. Almost all two neighboring phases are separated by discontinuous transitions. It is also remarkable that no surface fluctuation can be seen in the surfaces both in the spherical phase and in the planar phase.

7 pages with 8 figures

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Cited by in corpus (6)

• Non-trivial effect of the in-plane shear elasticity on the phase transitions of fixed-connectivity meshwork models
• Spherical surface models with directors
• Surface tension in an intrinsic curvature model with fixed one-dimensional boundaries
• Shape transformation transitions in a model of fixed-connectivity surfaces supported by skeletons
• Shape transformations of a model of self-avoiding triangulated surfaces of sphere topology
• Crumpled-to-tubule transition and shape transformations of a model of self-avoiding spherical meshwork