论文标题
低温方案下的格劳伯式链
The Glauber-Ising chain under low-temperature protocols
论文作者
论文摘要
这项工作致力于对使用无序初始状态发射并以低温缩放制度发展为铁磁链链的任意温度方案的深入分析。我们将研究重点放在域壁的密度上，并降低了敏感性。前者可观察的倒数和后者的倒数都提供了两种独立的度量，该量度是生长铁磁域的典型尺寸。因此，它们的产物是表征生长有序域的模式并提供系统距离与热平衡的量度的无量纲形式。我们将此框架应用于各种协议：永恒的缓慢淬火，在无限长时间的极限，有限持续时间的缓慢淬火的情况下，温度在某些长时间但有限的淬火时间，时间周期性的方案较弱，具有较弱的和强度的调制方案以及两效的指导方案以及在两个策略中的记忆效应，温度在较长但有限的淬火时间，较长但有限的淬火时间时，温度持续下降至零。
This work is devoted to an in-depth analysis of arbitrary temperature protocols applied to the ferromagnetic Glauber-Ising chain launched from a disordered initial state and evolving in the low-temperature scaling regime. We focus our study on the density of domain walls and the reduced susceptibility. Both the inverse of the former observable and the latter one provide two independent measures of the typical size of the growing ferromagnetic domains. Their product is thus a dimensionless form factor characterising the pattern of growing ordered domains and providing a measure of the distance of the system to thermal equilibrium. We apply this framework to a variety of protocols: everlasting slow quenches, where temperature decreases continuously to zero in the limit of infinitely long times, slow quenches of finite duration, where temperature reaches zero at some long but finite quenching time, time-periodic protocols with weak and strong modulations, and the two-temperature protocol leading to the memory effect found by Kovacs.
