Macroscopic fluctuation theory for single-file diffusion
1 : Institut de Physique Théorique (ex SPhT)
(IPHT)
-
Website
CEA, CNRS : URA2306
Institut de Physique Théorique Orme des Merisiers batiment 774 Point courrier 136 CEA/DSM/IPhT, CEA/Saclay F-91191 Gif-sur-Yvette Cedex -
France
We study the statistics of a tracer position in single-file diffusion, where particles are not allowed to overtake one another. We derive, using Macroscopic Fluctuation Theory, the large deviation function for impenetrable Brownian particles. For an arbitrary single-file system, a general formula for the variance in terms of the transport coefficients is obtained.