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摘要翻译：
我们发现三个不同的阶段；三角形流体表面模型中的管状相、平面相和球形相。还发现这些相是由不连续的跃迁分开的。在常规曲率模型的框架内，采用正则蒙特卡罗动力学三角剖分法对流体表面模型进行了研究。表面的力学强度仅由骨架给出，哈密顿量中不假定二维弯曲能。骨架由弹性线链和刚性连接组成，在表面形成一个分区结构，因此三角形的顶点只能在分区内自由扩散。因此，在模型中引入了非均匀结构；隔间内部的表面强度不同于隔间上的表面强度。弹性骨架不影响旋转对称性；表面上没有具体的方向。除了上述三个相外，预计在低弯曲刚度区还存在一个塌陷相，这是本文没有研究的。结构的不均匀性和顶点的流动性被认为是这种相变化的根源。
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英文标题：
《Phase structure of a surface model on dynamically triangulated spheres
with elastic skeletons》
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作者：
Hiroshi Koibuchi
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Soft Condensed Matter 软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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英文摘要：
We find three distinct phases; a tubular phase, a planar phase, and the spherical phase, in a triangulated fluid surface model. It is also found that these phases are separated by discontinuous transitions. The fluid surface model is investigated within the framework of the conventional curvature model by using the canonical Monte Carlo simulations with dynamical triangulations. The mechanical strength of the surface is given only by skeletons, and no two-dimensional bending energy is assumed in the Hamiltonian. The skeletons are composed of elastic linear-chains and rigid junctions and form a compartmentalized structure on the surface, and for this reason the vertices of triangles can diffuse freely only inside the compartments. As a consequence, an inhomogeneous structure is introduced in the model; the surface strength inside the compartments is different from the surface strength on the compartments. However, the rotational symmetry is not influenced by the elastic skeletons; there is no specific direction on the surface. In addition to the three phases mentioned above, a collapsed phase is expected to exist in the low bending rigidity regime that was not studied here. The inhomogeneous structure and the fluidity of vertices are considered to be the origin of such variety of phases.
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PDF链接：
https://arxiv.org/pdf/704.0493
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