标题： 1/t Wang-Landau 算法在联合态密度估计中的准确性和性能分析 显示英文标题

标题： The Accuracy and Performance Analysis of the 1/t Wang-Landau Algorithm in the Joint Density of States Estimation

摘要： 从执行时间和准确性角度分析了在计算二维伊辛模型态密度时使用的1/t Wang-Landau算法。 我们发现模拟结果存在系统误差，其大小随着晶格尺寸的增加而减小。 相对误差有两个最大值：第一个最大值位于基态能量附近，第二个最大值对应临界点处的内能值。 我们证明了在模拟大晶格时，无法提前估计1/t Wang-Landau算法的执行时间。 原因是当最终修改因子达到时，未满足切换到1/t模式的标准。 同时计算能量和磁化的态密度被证明可以提高对内能统计矩的估计精度。 显示英文摘要

摘要： The 1/t Wang-Landau algorithm is analyzed from the viewpoint of execution time and accuracy when it is used in computations of the density of states of a two-dimensional Ising model. We find that the simulation results have a systematic error, the magnitude of which decreases with increasing the lattice size. The relative error has two maxima: the first one is located near the energy of the ground state, and the second maximum corresponds to the value of the internal energy at the critical point. We demonstrate that it is impossible to estimate the execution time of the 1/t Wang-Landau algorithm in advance when simulating large lattices. The reason is that the criterion for switching to the 1/t mode was not met when the final value of the modification factor was reached. The simultaneous calculations of the density of states for energy and magnetization are shown to lead to higher accuracy in estimating statistical moments of internal energy.