多细孔表面模型的相结构
Phase structure of a surface model with many fine holes
摘要：
我们使用正则蒙特卡罗模拟技术研究了表面模型的相结构。孔的大小被假定为晶格间距（或键长）的数量级，因此与热力学极限中的表面大小相比可以忽略不计。我们在数值数据中观察到，该模型在光滑相和塌陷相之间经历了一级塌陷转变。此外，Hasudorff维数H仍然在物理界中，即，H<3不仅在光滑相，而且在相变点的塌陷相。第二个观察结果是，坍缩过渡伴随着表面波动的连续过渡。这第二个结果将本文模型与先前的具有许多孔洞的模型区分开来，孔洞的尺寸是表面尺寸的数量级，因为先前的具有大尺寸孔洞的表面模型只有塌陷过渡而没有表面起伏的过渡。
英文摘要：
We study the phase structure of a surface model by using the canonical Monte Carlo simulation technique on triangulated, fixed connectivity, and spherical surfaces with many fine holes. The size of a hole is assumed to be of the order of lattice spacing (or bond length) and hence can be negligible compared to the surface size in the thermodynamic limit. We observe in the numerical data that the model undergoes a first-order collapsing transition between the smooth phase and the collapsed phase. Moreover the Hasudorff dimension H remains in the physical bound, i.e., H<3 not only in the smooth phase but also in the collapsed phase at the transition point. The second observation is that the collapsing transition is accompanied by a continuous transition of surface fluctuations. This second result distinguishes the model in this paper and the previous one with many holes, whose size is of the order of the surface size, because the previous surface model with large-sized holes has only the collapsing transition and no transition of surface fluctuations.
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