Abstract
Given a classical spins system, namely, a set of spin sites of maximum spins inv-dimensional space along with a Hamiltonian defined on the possible spin configurations, a general method is described for constructing a large class of dual lattices of the same spin. The method utilizes the commutative group structure with which the configuration space is endowed.
Similar content being viewed by others
References
Kelly, D. G., Sherman, S.: J. Math. Phys.9, 466 (1968).
Wannier, G. H.: Phys. Rev.60, 252 (1941).
Onsager, L.: Phys. Rev.65, 117 (1944).
Wegner, F.: J. Math. Phys.12, 2259 (1971).
Merlini, D., Gruber, C.: (preprint).
Griffiths, R.: J. Math. Phys.10, 1559 (1969).
Author information
Authors and Affiliations
Additional information
On leave from: Department of Mathematics, Indiana University, Bloomington, Indiana.
Rights and permissions
About this article
Cite this article
Greenberg, W. Thermodynamic duality for classical systems of arbitrary spin. Commun.Math. Phys. 29, 163–175 (1973). https://doi.org/10.1007/BF01645660
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01645660