低温非级联2- GREM动力学在极端时间尺度下的渐近行为
Asymptotic behavior of a low temperature non-cascading 2-GREM dynamics at extreme time scales
摘要：
我们推导出非级联2-GREM在低温和时间尺度下的分层随机跳跃动力学的标度极限，其中动力学接近平衡。{ \em微调}现象起作用（在模型参数的某些选择下），产生三种动力学状态。与{ \em级联}的情况相反，第一和第二能级能量对具有随体积缩放的波动，这导致了一系列时间尺度，其中我们看到动力学仅在整个低温能量景观的一部分中移动。
英文摘要：
We derive the scaling limit for the Hierarchical Random Hopping dynamics for the non cascading 2-GREM at low temperatures and time scales where the dynamics is close to equilibrium. The {\em fine tuning} phenomenon plays a role (under certain choices of parameters of the model), yielding three dynamical regimes. In contrast to the {\em cascading} case, the pairs of first and second level energies have fluctuations which scale with the volume, and this leads to a family of time scales where we see the dynamics moving through only a part of the full low temperature energy landscape.
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