Publication : t94/018
Entropy of folding of the triangular lattice
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)
Abstract:Année de publication : 1994
The problem of counting the different ways of folding the planar triangular lattice is shown to be equivalent to that of counting the possible $3$--colorings of its bonds, a dual version of the $3$--coloring problem of the hexagonal lattice solved by Baxter. The folding entropy $\hbox{Log} \ q$ per triangle is thus given by Baxter's formula $q=\sqrt{3}\ {\Gamma(1/3)^{3/2}/ 2\pi}=1.2087... $ .
Revue : Europhys. Lett. 26 455-460 (1994)
DOI : 10.1209/0295-5075/26/6/010
Preprint : arXiv:cond-mat/9402058
PACS : 64.60, 82.65D
Langue : Anglais
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