TY - JOUR
T1 - Griffiths inequalities for anti-ferromagnets
AU - Lebowitz, J. L.
PY - 1971/8/16
Y1 - 1971/8/16
N2 - We prove the existence of new Griffiths type inequalities for anti-ferromagnetic Ising spin systems and the corresponding lattice gases. It is shown in particular that for such a system the two spin (or particle) Ursell function [〈σiσj〉 - 〈σi〉 〈σj〉] is positive when i and j are on the same sublattice and negative when they are on different sublattices. This is true for all values of the external magnetic field (or chemical potential) at the different lattice sites.
AB - We prove the existence of new Griffiths type inequalities for anti-ferromagnetic Ising spin systems and the corresponding lattice gases. It is shown in particular that for such a system the two spin (or particle) Ursell function [〈σiσj〉 - 〈σi〉 〈σj〉] is positive when i and j are on the same sublattice and negative when they are on different sublattices. This is true for all values of the external magnetic field (or chemical potential) at the different lattice sites.
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U2 - 10.1016/0375-9601(71)90764-X
DO - 10.1016/0375-9601(71)90764-X
M3 - Article
AN - SCOPUS:49649152733
VL - 36
SP - 99
EP - 100
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 2
ER -