论文标题
随机环境中的零范围过程
Zero-range process in random environment
论文作者
论文摘要
我们调查了我们最近的文章，涉及在现场障碍下移动的一维有吸引力的零范围过程。我们假设潜在的随机步行偏向右侧，因此预期双曲线缩放。在我们模型的条件下，该过程接受了最大的不变度度量。该项目的最初重点是在具有有限密度的情况下找到有关最初分布的初始定律条件。令人惊讶的是，发现了必要和充分的条件。在这部分中，流体命名结果主要是用作显示分布收敛的工具，但随后我们开发了一种理论，用于处理具有不承认相应平衡的密度的处理特征的流体动力限制。最后，我们得出了强大的局部平衡结果。
We survey our recent articles dealing with one dimensional attractive zero range processes moving under site disorder. We suppose that the underlying random walks are biased to the right and so hyperbolic scaling is expected. Under the conditions of our model the process admits a maximal invariant measure. The initial focus of the project was to find conditions on the initial law to entail convergence in distribution to this maximal distribution, when it has a finite density. Somewhat surprisingly, necessary and sufficient conditions were found. In this part hydrody-namic results were employed chiefly as a tool to show distributional convergence but subsequently we developed a theory for hydrodynamic limits treating profiles possessing densities that did not admit corresponding equilibria. Finally we derived strong local equilibrium results.
