论文标题
在本地聚类的大偏差中长期相关性
Long-ranged correlations in large deviations of local clustering
论文作者
论文摘要
在扩散颗粒的系统中，我们研究了一个粒子周围聚类的时间平均度量的巨大偏差。我们专注于有偏见的轨迹集合，这些轨迹实现大型事件。偏置作用于单个粒子，但引起了跨整个系统的响应。 我们通过宏观波动理论的角度分析了这种效果，重点是偏置与流体动力模式的耦合。这解释说，动态自由能在1和2的空间维度中与系统大小具有非平凡的缩放关系。 我们表明，在偏置两个粒子时，对一个粒子上的偏差的长期响应也会产生后果。
In systems of diffusing particles, we investigate large deviations of a time-averaged measure of clustering around one particle. We focus on biased ensembles of trajectories, which realise large-deviation events. The bias acts on a single particle, but elicits a response that spans the whole system. We analyse this effect through the lens of Macroscopic Fluctuation Theory, focussing on the coupling of the bias to hydrodynamic modes. This explains that the dynamical free energy has non-trivial scaling relationships with the system size, in 1 and 2 spatial dimensions. We show that the long-ranged response to a bias on one particle also has consequences when biasing two particles.
