Correlation inequalities for the truncated two-point function of an Ising ferromagnet |
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| Authors: | Ross Graham |
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| Institution: | (1) Program in Applied Mathematics, Princeton University, 08544 Princeton, New Jersey;(2) Present address: Defense Research Establishment Atlantic, P.O. Box 1012, B2Y 3Z7 Dartmouth, Nova Scotia, Canada |
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| Abstract: | We establish the following new correlation inequalities for the truncated twopoint function of an Ising ferromagnet in a positive external field:  
j
;
l
T
j
;
k
T
k
;
l
T
, and
j
;
l
T
 
k  K
j
;
k
T
k
l
, whereK is any set of sites which separatesj froml. The inequalities are also valid for the pure phases with zero magnetic field at all temperatures. Above the critical temperature they reduce to known inequalities of Griffiths and Simon, respectively.NSERC Postgraduate Fellow, 1978–1981. Research supported in part by NSF Grant No. PHY-78-25390-A02. |
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| Keywords: | Correlation inequalities Ising model |
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