N -tag probability law of the symmetric exclusion process - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Article Dans Une Revue Physical Review E Année : 2018

N -tag probability law of the symmetric exclusion process

Résumé

The symmetric exclusion process (SEP), in which particles hop symmetrically on a discrete line with hard-core constraints, is a paradigmatic model of subdiffusion in confined systems. This anomalous behavior is a direct consequence of strong spatial correlations induced by the requirement that the particles cannot overtake each other. Even if this fact has been recognized qualitatively for a long time, up to now there has been no full quantitative determination of these correlations. Here we study the joint probability distribution of an arbitrary number of tagged particles in the SEP. We determine analytically its large-time limit for an arbitrary density of particles, and its full dynamics in the high-density limit. In this limit, we obtain the time-dependent large deviation function of the problem and unveil a universal scaling form shared by the cumulants.
Fichier principal
Vignette du fichier
Phys_Rev_E_N_Tag.pdf (892.86 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-02322804 , version 1 (21-10-2019)

Identifiants

Citer

Alexis Poncet, Olivier Bénichou, Vincent Démery, Gleb Oshanin. N -tag probability law of the symmetric exclusion process. Physical Review E , 2018, 97 (6), ⟨10.1103/PhysRevE.97.062119⟩. ⟨hal-02322804⟩
40 Consultations
63 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More