标题： 从熵的角度解析模态耦合理论的成功与失败 显示英文标题

标题： Unraveling the success and failure of mode coupling theory from consideration of entropy

摘要： 我们分析了在模式耦合理论（MCT）的预测定性上有效的温度范围内的模型过冷液体的动力学。 在此范围内，基于动力学激活图景的亚当-吉布斯（AG）关系也能够满意地描述动力学，我们探讨了这些描述之间的相互一致性和相互关系。 尽管熵和动力学通过现象理论相关联，但MCT与熵之间的联系尚未被讨论。 在这项工作中，我们探讨了这种联系，并提供了现象学罗森菲尔德理论的微观推导。 在低温下，MCT幂律区域与AG关系之间的重叠意味着AG关系在$T_c$处预测了一个避免发散的现象，其根源可追溯到对 configurational 熵的消失，我们发现这发生在相同的温度下。 我们还表明，残余多粒子熵在描述弛豫时间方面起着重要作用。 显示英文摘要

摘要： We analyze the dynamics of model supercooled liquids in a temperature regime where predictions of mode coupling theory (MCT) are known to be valid qualitatively. In this regime, the Adam-Gibbs (AG) relation, based on an activation picture of dynamics also describes the dynamics satisfactorily, and we explore the mutual consistency and interrelation of these descriptions. Although entropy and dynamics are related via phenomenological theories, the connection between MCT and entropy has not been argued for. In this work we explore this connection and provide a microscopic derivation of the phenomenological Rosenfeld theory. At low temperatures the overlap between MCT power law regime and AG relation implies that the AG relation predicts an avoided divergence at $T_c$, the origin of which is traced back to the vanishing of pair configurational entropy, which we find occurs at the same temperature. We also show that the residual multiparticle entropy plays an important role in describing the relaxation time