Publication : t00/027
Exact Meander Asymptotics: a Numerical Check
Di Francesco P. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)Guitter E. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Jacobsen J.L. (Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), Université Paris-Sud XI, F-91405 Orsay, FRANCE)
Abstract:Année de publication : 2000
This note addresses the meander enumeration problem: "Count all topologically inequivalent configurations of a closed planar non self-intersecting curve crossing a line through a given number of points". We review a description of meanders introduced recently in terms of the coupling to gravity of a two-flavored fully-packed loop model. The subsequent analytic predictions for various meandric configuration exponents are checked against exact enumeration, using a transfer matrix method, with an excellent agreement.
Revue : Nucl. Phys. B [FS] 580 757-795 (2000)
DOI : 10.1016/S0550-3213(00)00273-X
Preprint : arXiv:cond-mat/0003008
Langue : Anglais
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