%0 Journal Article %T Dynamical properties of single-file diffusion %+ Boston University [Boston] (BU) %+ Institut de Physique Théorique - UMR CNRS 3681 (IPHT) %A Krapivsky, P. L. %A Mallick, Kirone %A Sadhu, Tridib %Z 20 pages, 1 figure %< avec comité de lecture %Z t15/111 %@ 1742-5468 %J Journal of Statistical Mechanics: Theory and Experiment %I IOP Publishing %V 2015 %P 09007 %8 2015 %D 2015 %Z 1505.01287 %R 10.1088/1742-5468/2015/09/P09007 %K Tagged particle %K Single-file diffusion %K Macroscopic fluctuation theory %K Law of the iterated logarithm %K Arcsine law %Z Physics [physics]Journal articles %X We study the statistics of a tagged particle in single-file diffusion, a one-dimensional interacting infinite-particle system in which the order of particles never changes. We compute the two-time correlation function for the displacement of the tagged particle for an arbitrary single-file system. We also discuss single-file analogs of the arcsine law and the law of the iterated logarithm characterizing the behavior of Brownian motion. Using a macroscopic fluctuation theory we devise a formalism giving the cumulant generating functional. In principle, this functional contains the full statistics of the tagged particle trajectory---the full single-time statistics, all multiple-time correlation functions, etc. are merely special cases. %G English %2 https://cea.hal.science/cea-01304779/document %2 https://cea.hal.science/cea-01304779/file/1505.01287v1.pdf %L cea-01304779 %U https://cea.hal.science/cea-01304779 %~ CEA %~ CNRS %~ OPENAIRE %~ DSM-IPHT %~ CEA-UPSAY %~ UNIV-PARIS-SACLAY %~ CEA-UPSAY-SACLAY %~ CEA-DRF %~ GS-MATHEMATIQUES %~ GS-PHYSIQUE