ISSN:
1572-9613
Keywords:
Statistical mechanics
;
lattice statistics
;
number theory
;
eight-vertex model
;
solid-on-solid model
;
hard-hexagon model
;
Rogers-Ramanujan identities
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The restricted eight-vertex solid-on-solid (SOS) model is an exactly solvable class of two-dimensional lattice models. To each sitei of the lattice there is associated an integer heightl i restricted to the range 1⩽l i ⩽r−1. The Boltzmann weights of the model are expressed in terms of elliptic functions of period 2K, and involve a parameterη. In an earlier paper we considered the caseη=K/r. Here we generalize those considerations to the caseη=sK/r, s an integer relatively prime tor. We are again led to generalizations of the Rogers-Ramanujan identities.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01010471
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