Models of Glasses and Spin Glasses

他们建议通过开发和解决几个模型系统来深入了解玻璃和自旋玻璃的行为。首先，他们将解决团簇效应对贝特晶格上自旋玻璃的静力学和动力学的影响；他们将对自旋玻璃相的格里菲斯动力学和标度特性做出严格而精确的陈述。其次，他们将使用玻璃低温特性的弹性偶极子模型来回答几个理论问题：他们将研究导致1K以下普遍特性的隧穿中心的性质，以及导致1K至50K普遍特性的谐波模式的特征和行为。第三，他们建议对一个显示平衡液相-玻璃相变的模型进行重整化群分析。最后，他们正在发展玻璃的非平衡热力学理论，在缓慢冷却速率的限制下有效。

They propose to gain insights into the behavior of glasses and spin glasses through the development and solution of several model systems. First, they will solve for the cluster effects on the statics and dynamics of spin glasses on the Bethe lattice; they will make rigorous and exact statements about the Griffiths dynamics and the scaling properties of spin glass phase. Second, they will use their elastic-dipole model of the low temperature properties of glasses to answer several theoretical questions: they will investigate the nature of the tunneling centers responsible for the universal properties below 1K and the character and behavior of the harmonic modes responsible for the universal properties from 1K to 50K. Third, they propose to develop a renormalization-group analysis of a model exhibiting an equilibrium liquid - glass phase transition. Finally, they are developing a theory of the non-equilibrium thermodynamics of glasses, valid in the limit of slow cooling rates.