Published June 24, 2005 | Version v1
Journal article

A lattice spanning-tree entropy function

  • 1. Departamento de Fisica Teorica, Atomica y Optica, Universidad de Valladolid, 47071 Valladolid (Spain)
  • 2. 2942 Ave. del Conquistador, Tucson, AZ 85749-9304 (United States)

Description

The function W(a,b) = ∫02π dx ∫02π dy ln[1 - a cos x - b cos y - (1-a-b) cos(x+y)] 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. (letter to the editor)

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/38/L471/a5_25_l02.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
38
Journal Issue
25
Journal Page Range
p. L471-L475
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
36095813
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CRYSTAL LATTICES; ENTROPY; GREEN FUNCTION; LIMITING VALUES; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
CRYSTAL STRUCTURE; FUNCTIONS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES