Thermodynamic glass transition: seeking for statistical mechanical models and extracting their characteristics

朝着最终的目标，有“理想的玻璃”，其中分子被冻结在一个不规则的方式在平衡，我们已经分析了各种数学模型的框架内的平衡统计力学，连接原子水平的描述与宏观状态的物质。结果，我们发现了一个有限维模型，表现出宏观重叠的出现。虽然这个模型的转变似乎是一级与潜热，我们也发现了另一个模型，表现出随机一级相变没有潜热。这两个结果是世界上的第一个报告，它们将为深入理解逼真的眼镜迈出重要的一步。

Toward the ultimate goal to have "ideal glass", in which molecules are frozen in an irregular manner at equilibrium, we have analyzed various mathematical models within a framework of equilibrium statistical mechanics that connect atomic level descriptions with macroscopic states of matter. As the result, we have found a finite dimensional model that exhibits the emergence of macroscopic overlap. While the transition of this model seems to be of the first-order with latent heat, we also find another model that exhibits Random First Order Transition without latent heat. These two results are the first report in the world, and they will provide a significant step toward deep understanding of realistic glasses.