Abstract
An order relation for tensors is defined. With this ordering it is shown that in noninteractingN-vector models 〈σAσB〉−〈σA〉〈σB〉 is positive. Applications to interacting models include a proof for the alignment of spins and the subadditivity of the free energy.
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Work supported in part by a Max Kade Foundation fellowship grant.
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Baumgartner, B. Griffiths inequalities for noninteractingN-vector (classical heisenberg) models and applications to interacting systems. J Stat Phys 32, 615–625 (1983). https://doi.org/10.1007/BF01008959
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DOI: https://doi.org/10.1007/BF01008959