纯态结构对非平衡动力学的影响
The Effect of Pure State Structure on Nonequilibrium Dynamics
摘要：
受短程伊辛自旋玻璃的启发，我们回顾了一些严格的结果及其后果之间的关系的平衡纯态和非平衡动力学的数量/性质。对自旋玻璃动力学的两个结果是：（1）几乎所有的初始组态都位于多个纯态吸引盆之间的边界上。(2)除非有无数个纯态，几乎所有的对都有零重叠，否则当时间到达无穷大时，不可能有纯态的平衡。我们讨论的相关性，这些结果的困难，平衡的自旋玻璃。我们还回顾了一些结果有关的“性质与培育”的问题，无论是铁磁体和自旋玻璃的大时间行为后，深淬火更多的是由初始配置或动力学实现。
英文摘要：
Motivated by short-range Ising spin glasses, we review some rigorous results and their consequences for the relation between the number/nature of equilibrium pure states and nonequilibrium dynamics. Two of the consequences for spin glass dynamics following a deep quench to a temperature with broken spin flip symmetry are: (1) Almost all initial configurations lie on the boundary between the basins of attraction of multiple pure states. (2) Unless there are uncountably many pure states with almost all pairs having zero overlap, there can be no equilibration to a pure state as time goes to infinity. We discuss the relevance of these results to the difficulty of equilibration of spin glasses. We also review some results concerning the ``nature vs. nurture'' problem of whether the large-time behavior of both ferromagnets and spin glasses following a deep quench is determined more by the initial configuration or by the dynamics realization.
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