论文标题
在极端时间尺度上,低温非伴随2 GREM动力学的渐近行为
Asymptotic behavior of a low temperature non-cascading 2-GREM dynamics at extreme time scales
论文作者
论文摘要
我们在低温和时间尺度上的非级联2 grem的分层随机跳动动力学的缩放限制得出了限制限制,在该动力学接近平衡的情况下。 {\ em微调}现象起作用(在模型的某些参数下),产生了三个动态状态。与{\ em级联}情况相反,第一和第二级能的对具有随着体积的缩小的波动,这导致了一个时间尺度家族,我们看到动态仅通过全温度能量能量的一部分移动。
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.