论文标题
布朗气体中的极端统计和间距分布与重置相关
Extreme statistics and spacing distribution in a Brownian gas correlated by resetting
论文作者
论文摘要
我们研究了独立扩散的$ n $ brownian颗粒的一维气体，但{\ it同时以恒定的速率$ r $ $ $ $ $ $ $。该系统接近非平衡固定状态（NESS），并通过同时重置引起的远距离相互作用。尽管存在很强的相关性，但我们表明可以精确计算几个可观察到的物品，其中包括全球平均密度，$ K $的位置的分布 - 最右边的粒子的位置以及两个连续粒子之间的间距分布。我们的分析结果通过数值模拟证实。我们还讨论了使用光学陷阱对这种重置气体的可能实现。
We study a one-dimensional gas of $N$ Brownian particles that diffuse independently, but are {\it simultaneously} reset to the origin at a constant rate $r$. The system approaches a non-equilibrium stationary state (NESS) with long-range interactions induced by the simultaneous resetting. Despite the presence of strong correlations, we show that several observables can be computed exactly, which include the global average density, the distribution of the position of the $k$-th rightmost particle and the spacing distribution between two successive particles. Our analytical results are confirmed by numerical simulations. We also discuss a possible experimental realisation of this resetting gas using optical traps.
