Shape transformation transitions of a tethered surface model
Department of Mechanical and Systems Engineering, Ibaraki National College of Technology, Nakane 866, Hitachinaka, Ibaraki, 312-8508, Japan
Corresponding author: a firstname.lastname@example.org
Published online: 1 November 2007
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.
PACS: 64.60.-i – General studies of phase transitions / 68.60.-p – Physical properties of thin films, nonelectroni / 87.16.Dg – Membranes, bilayers, and vesicles
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007