We consider the large deviations from the hydrodynamic limit of the Totally Asymmetric Simple Exclusion Process (TASEP). This problem was studied by Jensen and Varadhan and was shown to be related to entropy production in the inviscid Burgers equation. Here we prove the full large deviation principle. Our method relies on the explicit formula of Matetski, Quastel, and Remenik for the transition probabilities of the TASEP.

中文翻译：

---

TASEP 的流体动力学大偏差


我们考虑了与完全不对称简单排除过程 （TASEP） 的流体动力学极限的巨大偏差。Jensen 和 Varadhan 研究了这个问题，并被证明与无粘 Burgers 方程中的熵产生有关。在这里，我们证明了完全大偏差原理。我们的方法依赖于 Matetski、Quastel 和 Remenik 的显式公式来计算 TASEP 的转换概率。