发表机构
Technion–Israel Institute of Technology(以色列理工学院)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本研究通过耦合链上的随机能量模型副本,发现一级相变区分短程关联相与锁定相,后者在正温度下以概率一占据全局最低能量态,且无中间有序长度。
AI 中文摘要
当由许多相互作用组分构成的系统在空间上延伸时,每个区域都承载相同的无序景观,但尚不清楚远处区域是否会稳定在相同的状态。我们研究了共享同一无序实现、沿链耦合的随机能量模型(REM)的副本。一个一级相变将具有短程关联的相与锁定相分开,在锁定相中,整个链以概率一占据最低能量态,即使在正温度下也是如此。不存在中间有序长度。在广义REM中,链锁定到最低能量态或最低自由能谷。
英文摘要
When a system of many interacting constituents is extended across space, every region carries the same disordered landscape, and it is unclear whether distant regions settle into the same state. We study copies of the Random Energy Model (REM), sharing one disorder realization, coupled along a chain. A first-order transition separates a phase with short-range correlations, from a locked phase in which the entire chain occupies the lowest-energy state with probability one, even at positive temperature. No intermediate ordering lengths occur. In the Generalized REM the chain locks either to the lowest-energy state or to the lowest free-energy valley.