Bethe格点上随机钉扎的Fredrickson-Andersen模型及其MCT跃迁
The Fredrickson-Andersen model with random pinning on Bethe lattices and its MCT transitions
摘要：
研究了Bethe晶格上随机钉扎Fredrickson-Andersen模型的动力学行为。我们发现了一条随机钉扎动力学跃迁线，其动力学临界性质与模式耦合理论的$A_2$和$A_3$跃迁属于同一普适类。$A_3$行为出现在终点，在此弛豫变为对数，弛豫时间呈指数发散。我们解释的自诱导的无序和雪崩的临界行为，加强玻璃动力学和随机场伊辛模型之间的关系在最近的工作中讨论。
英文摘要：
We investigate the dynamics of the randomly pinned Fredrickson-Andersen model on the Bethe lattice. We find a line of random pinning dynamical transitions whose dynamical critical properties are in the same universality class of the $A_2$ and $A_3$ transitions of Mode Coupling Theory. The $A_3$ behavior appears at the terminal point, where the relaxation becomes logarithmic and the relaxation time diverges exponentially. We explain the critical behavior in terms of self-induced disorder and avalanches, strengthening the relationship discussed in recent works between glassy dynamics and Random Field Ising Model.
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