The GHS inequality for a large external field |
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Authors: | Richard S. Ellis Charles M. Newman Michael R. O'Connell |
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Affiliation: | (1) Department of Mathematics and Statistics, University of Massachusetts, 01003 Amherst, Massachusetts;(2) Department of Mathematics, University of Arizona, 85721 Tucson, Arizona |
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Abstract: | We consider general even ferromagnetic systems with pair interactions in a nonnegative external magnetic fieldh. Classes of single-site measures are found such that the GHS inequality is valid for allh h, whereh 0 is a number depending on but independent of the size of the system. These measures include both absolutely continuous and discrete measures. For =a0+{(1–a)/2} · (1 +–1), somea [0, 1),h is determined exactly.Alfred P. Sloan Research Fellow. Research supported in part by National Science Foundation grant No. MCS 80-02149.Alfred P. Sloan Research Fellow. Research supported in part by National Science Foundation grant No. MCS 77-20683 and by the U.S.-Israel Binational Science Foundation. |
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Keywords: | GHS inequality general even ferromagnetic systems correlation inequalities |
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