Open AccessThe partition function and correlation functions of the Ising model on a diamond fractal lattices
Author(s) -
Changchun Sun
Publication year - 2005
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.54.3768
Subject(s) - ising model , fractal , partition function (quantum field theory) , statistical physics , diamond , physics , square lattice ising model , lattice (music) , correlation function (quantum field theory) , invariant (physics) , mathematical physics , mathematics , mathematical analysis , quantum mechanics , materials science , acoustics , composite material , dielectric
With a diamond fractal lattice, the Ising model was exactly solved by parameter_ transformation technique. The rigorous partition function, free energy and corre lation functions were obtained for zero as well as non_zero field. In particular , an equation of cumulant pair correlation function and its analytical asymptoti c expression was derived in the zero field. The result indicated that the corre lation behaviors of the Ising model on a diamond fractal lattices are similar to the two_dimensional transitionally invariant lattices.