标题： 温度依赖的简单醇类和纯水中的网络稳定性：拉普拉斯谱的演变 显示英文标题

标题： Temperature dependent network stability in simple alcohols and pure water: the evolution of Laplace spectra

摘要： 考虑了在室温及常压下生成的水、甲醇和乙醇的多个计算机模型，以及作为温度函数（对于水和乙醇）和势能模型（仅对于水）的函数。 确定了拉普拉斯矩阵，并计算了其各种特性，如特征值和特征向量，以及相应的拉普拉斯谱。 揭示了如何利用氢键网络的拉普拉斯矩阵中的光谱间隙宽度来表征网络的稳定性。 还介绍了一种检测这些系统中渗透网络存在的新方法。 显示英文摘要

摘要： A number of computer-generated models of water, methanol and ethanol are considered at room temperature and ambient pressure, and also as a function of temperature (for water and ethanol), and the potential model (for water only). The Laplace matrices are determined, and various characteristics of this, such as eigenvalues and eigenvectors, and the corresponding Laplace spectra are calculated. It is revealed how the width of the spectral gap in the Laplace matrix of H-bonded networks may be applied for characterising the stability of the network. A novel method for detecting the presence percolated network in these systems is also introduced.