The GHS Inequalityf For a Large External-Field

RS Ellis, University of Massachusetts - Amherst
CM Newman
MR O'Connel

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The published version is located at http://www.springerlink.com/content/w267u8908684u426/

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 =a ₀+{(1–a)/2} · ( ₁ + _–1), somea [0, 1),h is determined exactly.