16 citations · 16 across the 2 of their papers we have counts for
7 papers
The random cluster model and new summation and integration identities
L. C. Chen, F. Y. Wu
We explicitly evaluate the free energy of the random cluster model at its critical point for 0 < q < 4 using an exact result due to Baxter, Temperley and Ashley. It is found that t…
Soluble kagome Ising model in a magnetic field
W. T. Lu, F. Y. Wu
An Ising model on the kagome lattice with super-exchange interactions is solved exactly under the presence of a nonzero external magnetic field. The model generalizes the super-exc…
Dimers on a simple-quartic net with a vacancy
W. -J. Tzeng, F. Y. Wu
A seminal milestone in lattice statistics is the exact solution of the enumeration of dimers on a simple-quartic net obtained by Fisher,Kasteleyn, and Temperley (FKT) in 1961. An o…
Spanning Trees on Hypercubic Lattices and Non-orientable Surfaces
W. -J. Tzeng, F. Y. Wu
We consider the problem of enumerating spanning trees on lattices. Closed-form expressions are obtained for the spanning tree generating function for a hypercubic lattice of size N…
Two exactly soluble lattice models in three dimensions
F. Y. Wu
As a prelude to what might be expected as forthcoming breakthroughs in finding new approaches toward solving three-dimensional lattice models in the twenty-first century, we review…
Self-dual property of the Potts model in one dimension
F. Y. Wu
A new duality relation is derived for the Potts model in one dimension. It is shown that the partition function is self-dual with the nearest-neighbor interaction and the external…