Duality transformation in a many-component spin model
- 1 March 1976
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 17 (3), 439-440
- https://doi.org/10.1063/1.522914
Abstract
It is shown that the duality transformation relates a spin model to its dual whose Boltzmann factors are the eigenvalues of the matrix formed by the Boltzmann factors of the original spin model. The duality relation valid for finite lattices is obtained, and applications are given.Keywords
This publication has 4 references indexed in Scilit:
- A transformation including the weak-graph theorem and the duality transformationPhysica, 1973
- Dual Transformations in Many-Component Ising ModelsJournal of Mathematical Physics, 1971
- Some generalized order-disorder transformationsMathematical Proceedings of the Cambridge Philosophical Society, 1952
- Statistics of Two-Dimensional Lattices with Four ComponentsPhysical Review B, 1943