SELF-AVOIDING WALKS AND POLYGONS ON NON-EUCLIDEAN LATTICES

Citation
E. Swierczak et Aj. Guttmann, SELF-AVOIDING WALKS AND POLYGONS ON NON-EUCLIDEAN LATTICES, Journal of physics. A, mathematical and general, 29(23), 1996, pp. 7485-7500
Citations number
26
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
29
Issue
23
Year of publication
1996
Pages
7485 - 7500
Database
ISI
SICI code
0305-4470(1996)29:23<7485:SWAPON>2.0.ZU;2-9
Abstract
Self-avoiding walks and polygons on four non-Euclidean lattices are st udied by the method of series expansions. It appears that the polygons and walks have different critical points from each other, and that bo th are in a different universality class to their Cartesian lattice co unterparts. An exact solution is given for one lattice.