随机介质中边界驱动的零程过程
Boundary driven zero-range processes in random media
摘要：
研究了具有淬火无序的随机介质中边界驱动零程过程的定态，分析了标记粒子的运动。对于对称跃迁率，也被称为随机势垒模型，定态被发现是平凡的边界驱动的情况下。在平衡之外，根据无序分布的尾部来区分另外两种情况。对于强无序，逸度配置文件被发现是由正规化的$α$稳定从属的路径。对三种类型的路径计算了标记粒子位置的积分函数的期望值。
英文摘要：
The stationary states of boundary driven zero-range processes in random media with quenched disorder are examined, and the motion of a tagged particle is analyzed. For symmetric transition rates, also known as the random barrier model, the stationary state is found to be trivial in absence of boundary drive. Out of equilibrium, two further cases are distinguished according to the tail of the disorder distribution. For strong disorder, the fugacity profiles are found to be governed by the paths of normalized $α$-stable subordinators. The expectations of integrated functions of the tagged particle position are calculated for three types of routes.
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