Large deviation in single-file diffusion
Tridib Sadhu, IPhT Saclay
Single-file diffusion is referred to the motion of many particles in narrow channel where particles can not pass each other. As a consequence of the forbidden mutual passage the motion of individual particles is sub-diffusive. I shall apply the macroscopic fluctuation theory to analyse the probability distribution of position of a tracer particle in a large class of single-file systems. For Brownian point particles with hard-core repulsion this macroscopic approach leads to a parametric expression of the large deviation function of tracer position. I shall compare the results with that obtained in our exact microscopic analysis. I shall emphasise the unusual dependence of the statistics of the tracer position on the initial state.