Eur. Phys. J. B 66, 467-475 (2008)
https://doi.org/10.1140/epjb/e2008-00454-8

Non-trivial effect of the in-plane shear elasticity on the phase transitions of fixed-connectivity meshwork models

¹ Department of Electrical and Systems Engineering, Ibaraki National College of Technology, Nakane 866, Hitachinaka, 312-8508, Ibaraki, Japan
² Department of Mechanical and Systems Engineering, Ibaraki National College of Technology, Nakane 866, Hitachinaka, 312-8508, Ibaraki, Japan

Corresponding author: ^a Koibuchi@mech.ibaraki-ct.ac.jp

Received: 22 October 2008
Published online: 12 December 2008

Abstract

We numerically study the phase structure of two types of triangulated spherical surface models, which includes an in-plane shear energy in the Hamiltonian, and we found that the phase structure of the models is considerably influenced by the presence of the in-plane shear elasticity. The models undergo a first-order collapsing transition and a first-order (or second-order) transition of surface fluctuations; the latter transition was reported to be of second-order in the first model without the in-plane shear energy. This leads us to conclude that the in-plane elasticity strengthens the transition of surface fluctuations. We also found that the in-plane elasticity decreases the variety of phases in the second model without the in-plane energy. The Hamiltonian of the first model is given by a linear combination of the Gaussian bond potential, a one-dimensional bending energy, and the in-plane shear energy. The second model is obtained from the first model by replacing the Gaussian bond potential with the Nambu-Goto potential, which is defined by the summation over the area of triangles.