面内剪切弹性对固定连通网络模型相变的非平凡影响
Non-trivial effect of the in-plane shear elasticity on the phase transitions of fixed-connectivity meshwork models
摘要：
我们数值研究了两种三角形球面模型的相结构，其中包括一个面内剪切能量的哈密顿量，我们发现，相结构的模型的面内剪切弹性的存在有很大的影响。该模型经历了一阶崩溃过渡和一阶（或二阶）过渡的表面波动，后者的过渡被报道为第一个模型中的二阶没有面内剪切能。这使我们得出结论，面内弹性加强了表面波动的过渡。我们还发现，在没有面内能量的第二种模型中，面内弹性减少了相的变化。第一种模型的哈密顿量由高斯键势、一维弯曲能和面内剪切能的线性组合给出。第二个模型是由第一个模型通过用Nambu-Goto势代替高斯键势得到的，Nambu-Goto势是由三角形面积的总和定义的。
英文摘要：
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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