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

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

2008-11-25

arxiv.org/abs/0811.4183v1

Euro. Phys. J. B 66, pp.467-475 (2008)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 12 figures

Scientific paper

10.1140/epjb/e2008-00454-8

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.

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