A Lattice Spanning-Tree Entropy Function
Abstract
Description
The function $$W(aq,b)=\int\int_0^{2π}\ln[1-a\cos x-b\cos y-(1-a-b)\cos(x+y)]dxdy$$ which expresses the spanning-tree entropy for various two dimensional lattices, for example, is evaluated directly in terms of standard functions. It is applied to derive several limiting values of the triangular lattice Green function.
7 pages
7 pages