Publication : t96/062
Meanders: a direct enumeration approach
Di Francesco P. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)Golinelli O. (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)
Abstract:Année de publication : 1996
We study the statistics of semi-meanders, i.e. configurations of a set of roads crossing a river through $n$ bridges, and possibly winding around its source, as a toy model for compact folding of polymers. By analyzing the results of a direct enumeration up to $n=29$, we perform on the one hand a large $n$ extrapolation and on the other hand we reformulate the available data into a large $q$ expansion, where $q$ is a weight attached to each road. We predict a transition at $q=2$ between a low-$q$ regime with irrelevant winding, and a large-$q$ regime with relevant winding.
Revue : Nucl. Phys. B [FS] 482 497-535 (1996)
DOI : 10.1016/S0550-3213(96)00505-6
Preprint : arXiv:hep-th/9607039
Langue : Anglais
Fichier(s) à télécharger :
nucl_phys_b-482-497.pdf publi.pdf
