Abstract
A disorderedn-vector model withp spin interactions is introduced and studied in mean field theory for the annealed case. We present complete solutions for the casesn=2 andn=3, and have obtained explicit order parameter equations for all the stable solutions for arbitraryn. For alln andp we find one stable high-temperature phase and one stable low-temperature phase. The phase transition is of first order. Forn=2, it is continuous in the order parameters for p⩽4 and has a jump discontinuity in the order parameters ifp>4. Forn=3, it has a jump discontinuity in the order parameters for allp.
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Taucher, T., Frankel, N.E. Annealedn-vectorp-spin model. J Stat Phys 68, 925–976 (1992). https://doi.org/10.1007/BF01048881
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DOI: https://doi.org/10.1007/BF01048881