论文标题
添加颜色:旋转眼镜中能量景观的可视化
Adding color: Visualization of energy landscapes in spin glasses
论文作者
论文摘要
脱节性图用于可视化复杂系统的最小值之间的最小值和最低的能屏障。他们对潜在能源景观有一个简单而直观的理解,因此是理解找到这种系统的低洼或全球最小值所涉及的复杂性的绝佳工具。我们已经开发了一种分类方案,该方案基于各个状态的相似性和可及性对高度分级的自旋眼镜进行分类。这种分类使我们能够使用颜色区分其类型和条形图,以表明其各自能量水平的平均大小,以区分其类型和条形图。我们使用此分类来可视化不同瓷砖植物模型的自旋玻璃模型的小表示的断开图。对结果的分析表明,不同模型在最小值的总数中具有明显不同的特征,最小值相对于基态的分布,屏障高度和发生不同类型的最小能量dales的出现。
Disconnectivity graphs are used to visualize the minima and the lowest energy barriers between the minima of complex systems. They give an easy and intuitive understanding of the underlying energy landscape and, as such, are excellent tools for understanding the complexity involved in finding low-lying or global minima of such systems. We have developed a classification scheme that categorizes highly-degenerate minima of spin glasses based on similarity and accessibility of the individual states. This classification allows us to condense the information pertained in different dales of the energy landscape to a single representation using color to distinguish its type and a bar chart to indicate the average size of the dales at their respective energy levels. We use this classification to visualize disconnectivity graphs of small representations of different tile-planted models of spin glasses. An analysis of the results shows that different models have distinctly different features in the total number of minima, the distribution of the minima with respect to the ground state, the barrier height and in the occurrence of the different types of minimum energy dales.