A Lattice Spanning-Tree Entropy Function

Details A Lattice Spanning-Tree Entropy Function A Lattice Spanning-Tree Entropy Function

2005-04-07

arxiv.org/abs/math-ph/0504027v1

Physics

Mathematical Physics

7 pages

Scientific paper

The function $$W(aq,b)=\int\int_0^{2\pi}\ln[1-a\cos x-b\cos
y-(1-a-b)\cos(x+y)]dxdy$$ 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.

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