On the entropy of spanning trees on a large triangular lattice

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dc.creatorGlasser, M. L.
dc.creatorWu, F. Y.
dc.date2003-09-08
dc.date2003-09-11
dc.date.accessioned2026-07-07T06:25:55Z
dc.date.available2026-07-07T06:25:55Z
dc.descriptionThe double integral representing the entropy S_{tri} of spanning trees on a large triangular lattice is evaluated using two different methods, one algebraic and one graphical. Both methods lead to the same result S_{tri} = [1/(2 Pi)]^2 \int_0^{2 Pi} dθ\int_0^{2 Pi} dϕln [6-2 cos(θ) - 2 cos(ϕ) -2 cos(θ+ϕ)] = [3(\sqrt 3)/Pi](1 - 5^{-2} + 7^{-2} - 11^{-2} + 13^{-2} - ...)
dc.description16 pages, 3 figures, reference added, for Proceedings of the Gainesville Conference on Number Theory and Combinatorics in Physics, Ramanujan Journal
dc.identifierhttps://arxiv.org/abs/cond-mat/0309198
dc.identifierhttp://arxiv.org/abs/cond-mat/0309198
dc.identifierRamanujian J. 10, 205-214 (2005).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96964
dc.subjectStatistical Mechanics
dc.subjectCombinatorics
dc.titleOn the entropy of spanning trees on a large triangular lattice
dc.typetext

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