二维晶格聚合物：自适应窗口模拟
Two-dimensional lattice polymers: adaptive windows simulations
摘要：
我们报告了一个数值研究的自避免聚合物的正方形晶格，包括非连续单体之间的吸引力潜力。使用Wang-Landau采样（WLS）与自适应窗口，我们得到的状态密度链的N=300单体和相关的热力学量。该方法使人们能够准确地模拟低温制度，这是几乎无法使用传统的方法。与通常的WLS中定义固定能量窗口不同，该方法使用具有边界的窗口，该边界取决于能量值的集合，在该能量值的集合上，直方图在给定的模拟阶段是平坦的。每次修改因子$f$减小时移动窗口，我们消除了使用固定窗口的模拟中出现的边界效应。
英文摘要：
We report a numerical study of self-avoiding polymers on the square lattice, including an attractive potential between nonconsecutive monomers. Using Wang-Landau sampling (WLS) with adaptive windows, we obtain the density of states for chains of up to N=300 monomers and associated thermodynamic quantities. The method enables one to simulate accurately the low-temperature regime, which is virtually inaccessible using traditional methods. Instead of defining fixed energy windows, as in usual WLS, this method uses windows with boundaries that depend on the set of energy values on which the histogram is flat at a given stage of the simulation. Shifting the windows each time the modification factor $f$ is reduced, we eliminate border effects that arise in simulations using fixed windows.
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