KINETICALLY CONSTRAINED LATTICE GASES: TAGGED PARTICLE DIFFUSION

Abstract : Kinetically constrained lattice gases (KCLG) are interacting particle systems on the integer lattice Z d with hard core exclusion and Kawasaki type dynamics. Their peculiarity is that jumps are allowed only if the configuration satisfies a constraint which asks for enough empty sites in a certain local neighborhood. KCLG have been introduced and extensively studied in physics literature as models of glassy dynamics. We focus on the most studied class of KCLG, the Kob Andersen (KA) models. We analyze the behavior of a tracer (i.e. a tagged particle) at equilibrium. We prove that for all dimensions d ≥ 2 and for any equilibrium particle density, under diffusive rescaling the motion of the tracer converges to a d-dimensional Brownian motion with non-degenerate diffusion matrix. Therefore we disprove the occurrence of a diffusive/non diffusive transition which had been conjectured in physics literature. Our technique is flexible enough and can be extended to analyse the tracer behavior for other choices of constraints. MSC 2010 subject classifications:60K35 60J27
Type de document :
Pré-publication, Document de travail
2017
Liste complète des métadonnées


https://hal.archives-ouvertes.fr/hal-01464521
Contributeur : Oriane Blondel <>
Soumis le : vendredi 10 février 2017 - 11:49:39
Dernière modification le : jeudi 27 avril 2017 - 09:46:16
Document(s) archivé(s) le : jeudi 11 mai 2017 - 13:03:16

Fichier

diffusionKA_final.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01464521, version 1

Collections

Citation

Oriane Blondel, C Toninelli. KINETICALLY CONSTRAINED LATTICE GASES: TAGGED PARTICLE DIFFUSION. 2017. <hal-01464521>

Partager

Métriques

Consultations de
la notice

142

Téléchargements du document

19