In the slow bond problem the rate of a single edge in the Totally Asymmetric Simple Exclusion Process (TASEP) is reduced from 1 to $1-\epsilon$ for some small . Janowsky and Lebowitz posed the well-known question of whether such very small perturbations could affect the macroscopic current. Different groups of physicists, using a range of heuristics and numerical simulations reached opposing conclusions on whether the critical value of $\epsilon$ is 0. This was ultimately resolved rigorously in Basu-Sidoravicius-Sly which established that ${\epsilon }_c=0$.

中文翻译：

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慢键 TASEP 中的无限级相变

在慢键问题中，完全不对称简单排除过程 (TASEP) 中单边的比率从 1 降低到$1-\epsilon$对于一些小的。雅诺夫斯基和勒博维茨提出了一个众所周知的问题：如此微小的扰动是否会影响宏观电流。不同的物理学家群体使用一系列启发式方法和数值模拟，就是否临界值得出了相反的结论。$\epsilon$是 0。最终在 Basu-Sidoravicius-Sly 中严格解决了这个问题，其中确定了${\epsilon }_C=0$。