论文标题
三个空间维度的晶格玻璃模型
Lattice glass model in three spatial dimensions
论文作者
论文摘要
除了均值场理论之外，缺乏适当的模型，阻碍了热力学玻璃过渡的理解。在这里，我们在简单的立方晶格上提出了一个三维晶格玻璃模型，该模型表现出在脆弱的超冷液体中观察到的典型动力学，例如两步放松，放松时间中的超级阿尔赫尼乌斯的生长以及动态异质性。使用先进的蒙特卡洛方法，我们计算玻璃温度状态深处的热力学特性，远低于缓慢动力学的开始温度。特定的热量朝热力学极限的有限跳跃，关键指数接近于高度标准的预期和玻璃转变的随机一阶过渡理论。我们还研究了玻璃杯的有效自由能，即弗朗兹 - 帕里斯的潜力，是平衡和淬火构型之间重叠的函数。有效的自由能表明存在与随机一阶过渡理论一致的一阶相变。这些发现强烈表明该模型的玻璃动力学起源于热力学。
The understanding of thermodynamic glass transition has been hindered by the lack of proper models beyond mean-field theories. Here, we propose a three-dimensional lattice glass model on a simple cubic lattice that exhibits the typical dynamics observed in fragile supercooled liquids such as two-step relaxation, super-Arrhenius growth in the relaxation time, and dynamical heterogeneity. Using advanced Monte Carlo methods, we compute the thermodynamic properties deep inside the glassy temperature regime, well below the onset temperature of the slow dynamics. The specific heat has a finite jump towards the thermodynamic limit with critical exponents close to those expected from the hyperscaling and the random first-order transition theory for the glass transition. We also study an effective free energy of glasses, the Franz--Parisi potential, as a function of the overlap between equilibrium and quenched configurations. The effective free energy indicates the existence of a first-order phase transition, consistent with the random first-order transition theory. These findings strongly suggest that the glassy dynamics of the model has its origin in thermodynamics.
