Skip to Main content Skip to Navigation
Journal articles

Tagged Particle in Single-File Diffusion

Abstract : Single-file diffusion is a one-dimensional interacting infinite-particle system in which the order of particles never changes. An intriguing feature of single-file diffusion is that the mean-square displacement of a tagged particle exhibits an anomalously slow sub-diffusive growth. We study the full statistics of the displacement using a macroscopic fluctuation theory. For the simplest single-file system of impenetrable Brownian particles we compute the large deviation function and provide an independent verification using an exact solution based on the microscopic dynamics. For an arbitrary single-file system, we apply perturbation techniques and derive an explicit formula for the variance in terms of the transport coefficients. The same method also allows us to compute the fourth cumulant of the tagged particle displacement for the symmetric exclusion process.
Document type :
Journal articles
Complete list of metadata

Cited literature [60 references]  Display  Hide  Download
Contributor : Emmanuelle De Laborderie Connect in order to contact the contributor
Submitted on : Wednesday, April 20, 2016 - 11:07:48 AM
Last modification on : Monday, December 13, 2021 - 9:16:04 AM
Long-term archiving on: : Thursday, July 21, 2016 - 12:10:14 PM


Files produced by the author(s)


Distributed under a Creative Commons Attribution 4.0 International License



P. L. Krapivsky, Kirone Mallick, Tridib Sadhu. Tagged Particle in Single-File Diffusion. Journal of Statistical Physics, Springer Verlag, 2015, 160 (4), pp.885-925. ⟨10.1007/s10955-015-1291-0⟩. ⟨cea-01304701⟩



Record views


Files downloads