三角剖分固定连通表面模型的平坦直方图蒙特卡罗模拟
Flat histogram Monte Carlo simulations of triangulated fixed-connectivity surface models
摘要：
使用Wang-Landau平坦直方图蒙特卡罗（FHMC）模拟技术，我们能够研究两种类型的三角化球面模型，其中二维非本征曲率能假设在哈密顿量中。高斯键势也包含在第一模型的哈密顿量中，但在第二模型中它被硬壁势所取代。本文的结果与本课题组以前报道的结果一致。用正则Metropolis蒙特卡罗模拟方法研究了表面涨落跃迁和坍缩跃迁，发现它们都是一级跃迁。本文的结果也表明，FHMC技术可以成功地应用于三角化表面模型。这是不平凡的技术是否适用于表面模型，因为模拟是在相对较大的表面上进行。
英文摘要：
Using the Wang-Landau flat histogram Monte Carlo (FHMC) simulation technique, we were able to study two types of triangulated spherical surface models in which the two-dimensional extrinsic curvature energy is assumed in the Hamiltonian. The Gaussian bond potential is also included in the Hamiltonian of the first model, but it is replaced by a hard-wall potential in the second model. The results presented in this paper are in good agreement with the results previously reported by our group. The transition of surface fluctuations and collapsing transition were studied using the canonical Metropolis Monte Carlo simulation technique and were found to be of the first-order. The results obtained in this paper also show that the FHMC technique can be successfully applied to triangulated surface models. It is non-trivial whether the technique is applicable or not to surface models because the simulations are performed on relatively large surfaces.
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