Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines cond-mat.stat-mech
Date Jeudi 23 Mars 2017
Heure 11:00
Institut LPTHE
Salle Bibliothèque
Nom de l'orateur Jacobsen
Prenom de l'orateur Jesper
Addresse email de l'orateur
Institution de l'orateur LPTENS
Titre Finite-size corrections for universal boundary entropy in bond percolation
Résumé We compute the boundary entropy for bond percolation on the square lattice in the presence of a boundary loop weight, and prove explicit and exact expressions on a strip and on a cylinder of size L. For the cylinder we provide a rigorous asymptotic analysis which allows for the computation of finite-size corrections to arbitrary order. For the strip we provide exact expressions that have been verified using high-precision numerical analysis. Our rigorous and exact results corroborate an argument based on conformal field theory, in particular concerning universal logarithmic corrections for the case of the strip due to the presence of corners in the geometry. We furthermore observe a crossover at a special value of the boundary loop weight.
Numéro de preprint arXiv
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