The partition function and correlation functions of the Ising model on a diamond fractal lattices
Author(s) -
Sun Chun-Feng
Publication year - 2005
Publication title -
acta physica sinica
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom