Extrinsic curvature in dynamically triangulated random surface models
Extrinsic curvature in dynamically triangulated random surface models
复制标题
动态三角随机表面模型中的外在曲率
DOI：
10.1016/0370-2693(89)90038-5
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发表时间：
1989
期刊：
影响因子：
--
通讯作者：
S. Catterall
中科院分区：
文献类型：
--
作者：
S. Catterall
利用蒙特卡罗技术研究了包含外曲率作用量的动态三角化随机表面模型的相结构。我们的模拟在D=3中进行，并比较两种不同形式的离散曲率项的模型的行为。对于第一个，本质上是（δX）2，我们观察到β = 0.7附近的三级跃迁，其中β是相关的耦合。第二类模型的相结构，<$（1−cosθij）被证明是明显不同的，在有限β处出现了一个强的二阶相变，导致模型有一个新的连续极限的可能性。我们讨论了这些结果的连续表面的影响。
The phase structure of a dynamically triangulated random surface model, the action containing extrinsic curvature, is investigated using Monte Carlo techniques. Our simulations are carried out in D=3 and compare the behaviour of the model for two different forms of the discrete curvature term. With the first, essentially (δX)2, we observe a third order transition near β≈0.7, where β is the associated coupling. The phase structure of the model with the second type, Σ(1−cosθij) proves markedly different, a strong second order phase transition is presented at finite β, leading to the possibility of a new continuum limit for the model. We discuss the implications of these results for continuum surfaces.