Large Deviations in Single File Diffusion - CEA - Commissariat à l’énergie atomique et aux énergies alternatives Access content directly
Journal Articles Physical Review Letters Year : 2014

Large Deviations in Single File Diffusion


We apply macroscopic fluctuation theory to study the diffusion of a tracer in a one-dimensional interacting particle system with excluded mutual passage, known as single-file diffusion. In the case of Brownian point particles with hard-core repulsion, we derive the cumulant generating function of the tracer position and its large deviation function. In the general case of arbitrary inter-particle interactions, we express the variance of the tracer position in terms of the collective transport properties, viz. the diffusion coefficient and the mobility. Our analysis applies both for fluctuating (annealed) and fixed (quenched) initial configurations.
Fichier principal
Vignette du fichier
krap2.pdf (2.02 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

cea-01021288 , version 1 (27-08-2020)



P. L. Krapivsky, Kirone Mallick, Tridib Sadhu. Large Deviations in Single File Diffusion. Physical Review Letters, 2014, 113, pp.078101. ⟨10.1103/PhysRevLett.113.078101⟩. ⟨cea-01021288⟩
106 View
56 Download



Gmail Facebook X LinkedIn More