Large fluctuations and extreme events in driven stochastic many-particle systems

在非平衡系统的研究中，最基本的挑战之一是概率分布的表征。即使在一个固定系综中，也没有已知的一般原理具有类似于热平衡中自由能的重要性。然而，由于最近的重大进展，在驱动扩散系统的大偏差的研究有合理的希望在这个基本问题上取得进展，这类相互作用的多体系统的典范。在这个项目中，我们将研究精确可解模型系统的大偏差函数和密切相关的极值性质。我们探索新的普遍统计特性，并调查极端事件背后的时空模式。我们与Krug一起调查相关生长过程的记录。

Among the most fundamental challenges in the study of non-equilibrium systems is the characterization of the probability distribution. Even in a stationary ensemble there is no known general principle of an importance similar to the free energy in thermal equilibrium. However, due to recent significant advancements in the study of large deviations in driven diffusive systems there is reasonable hope for progress in this fundamental problem for this paradigmatic class of interacting many-body systems. In this project we shall study large deviation functions and closely connected extreme-value properties of exactly solvable model systems. We explore novel universal statistical properties and investigate the space-time patterns underlying extreme events. Together with Krug we investigate records in related growth processes.