Semi-infinite TASEP with a Complex Boundary Mechanism

Abstract : We consider a totally asymmetric exclusion process on the positive half-line. When particles enter in the system according to a Poisson source, Liggett has computed all the limit distributions when the initial distribution has an asymptotic density. In this paper we consider systems for which particles enter at the boundary according to a complex mechanism depending on the current configuration in a finite neighborhood of the origin. For this kind of models, we prove a strong law of large numbers for the number of particles entered in the system at a given time. Our main tool is a new representation of the model as a multi-type particle system with infinitely many particle types.
Type de document :
Pré-publication, Document de travail
2009
Liste complète des métadonnées

Littérature citée [6 références]  Voir  Masquer  Télécharger

https://hal-ens-lyon.archives-ouvertes.fr/ensl-00351649
Contributeur : Nicky Sonigo <>
Soumis le : vendredi 9 janvier 2009 - 17:38:50
Dernière modification le : jeudi 11 janvier 2018 - 06:12:31
Document(s) archivé(s) le : mardi 8 juin 2010 - 17:21:49

Fichiers

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

Identifiants

  • HAL Id : ensl-00351649, version 1
  • ARXIV : 0901.1364

Collections

Citation

Nicky Sonigo. Semi-infinite TASEP with a Complex Boundary Mechanism. 2009. 〈ensl-00351649〉

Partager

Métriques

Consultations de la notice

102

Téléchargements de fichiers

59