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摘要翻译：
研究了具有猝灭无序的随机介质中边界驱动零程过程的定态，并分析了标记粒子的运动。对于对称跃迁率，也称为随机势垒模型，发现在没有边界驱动的情况下，定态是微不足道的。在不平衡状态下，根据无序分布的尾部来区分另外两种情况。对于强无序，逸度分布被归一化α-稳定从属子的路径所控制。计算了三种路径下标记粒子位置的综合函数期望值。
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英文标题：
《Boundary driven zero-range processes in random media》
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作者：
Otto Pulkkinen
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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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 $\alpha$-stable subordinators. The expectations of integrated functions of the tagged particle position are calculated for three types of routes.
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PDF链接：
https://arxiv.org/pdf/707.0195
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