多重凝聚的零程过程：静力学与动力学
Zero-Range Processes with Multiple Condensates: Statics and Dynamics
摘要：
研究了跳率为占位非单调函数的零程过程的稳态分布和动力学行为。我们考虑了两类非单调跳变率。第一个结果在一个凝聚相含有大量（但subextensive）的mesoconsets，每个包含一个subextensive数量的颗粒。第二个结果在一个凝聚相含有有限数量的广泛的冷凝物。我们研究了在这两种情况下对应于凝聚体的分布函数中的峰值的标度行为。在研究凝析油的动力学时，我们确定了两个时间尺度：一个是凝析油的生成时间，另一个是凝析油在给定位置的蒸发时间。这些时间尺度的标度行为的研究范围内的阿克里先定律的方法和数值模拟。
英文摘要：
The steady-state distributions and dynamical behaviour of Zero Range Processes with hopping rates which are non-monotonic functions of the site occupation are studied. We consider two classes of non-monotonic hopping rates. The first results in a condensed phase containing a large (but subextensive) number of mesocondensates each containing a subextensive number of particles. The second results in a condensed phase containing a finite number of extensive condensates. We study the scaling behaviour of the peak in the distribution function corresponding to the condensates in both cases. In studying the dynamics of the condensate we identify two timescales: one for creation, the other for evaporation of condensates at a given site. The scaling behaviour of these timescales is studied within the Arrhenius law approach and by numerical simulations.
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