Transition Matrix Monte Carlo and Flat‐Histogram Algorithm
Transition Matrix Monte Carlo and Flat‐Histogram Algorithm
复制标题
转移矩阵蒙特卡罗和平面直方图算法
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
Jian
中科院分区：
文献类型：
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作者：
Jian
在任何实现微正则性质的有效蒙特卡罗采样中，我们可以收集能量转移矩阵的统计信息。这个矩阵用于确定态密度，从态密度可以计算大多数的平均值，包括自由能和熵。我们讨论单自旋翻转算法，如平坦直方图和等命中算法，可用于模拟。平坦直方图算法实现了多规范集成。我们展示了使用的方法与应用程序的伊辛模型，并显示其搜索自旋玻璃基态的效率。
In any valid Monte Carlo sampling that realizes microcanonical property we can collect statistics for a transition matrix in energy. This matrix is used to determine the density of states, from which most of the thermodynamical averages can be calculated, including free energy and entropy. We discuss single‐spin‐flip algorithms, such as flat‐histogram and equal‐hit algorithms, that can be used for simulations. The flat‐histogram algorithm realizes multicanonical ensemble. We demonstrate the use of the method with applications to Ising model and show its efficiency of search for spin‐glass ground states.