论文标题
时玻璃：分数演算方法
Time Glass: A Fractional Calculus Approach
论文作者
论文摘要
多年来，玻璃和晶体中的平衡状态一直是凝结物理学研究的主要主题，时间晶体的概念引发了一系列新的研究。在这里，我们使用分数演算方法为最近猜想的时光玻璃提供了第一个描述。引入了一个准确的有效理论，连续参数描述了从液体到正常玻璃时玻璃的过渡到加德纳阶段。具有分数langevin方程的现象学描述与广义Caldeira-Leggett模型的框架中的亚荷斯浴中的粒子的微观模型相连。
Out of equilibrium states in glasses and crystals have been a major topic of research in condensed-matter physics for many years, and the idea of time crystals has triggered a flurry of new research. Here, we provide the first description for the recently conjectured Time Glasses using fractional calculus methods. An exactly solvable effective theory is introduced, with a continuous parameter describing the transition from liquid through normal glass, Time Glass, into the Gardner phase. The phenomenological description with a fractional Langevin equation is connected to a microscopic model of a particle in a sub-Ohmic bath in the framework of a generalized Caldeira-Leggett model.
