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Continuous symmetry breaking in a mean-field model

1983
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Journal of Physics A: Mathematical and General
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A magnetic system on the sites { j / n ; j = 1, . . . , n } of the circle T = R (mod 1) is studied in the limit n + 03. The interaction is defined in terms of a continuous function J ( x , y), x , y E T. For any ferromagnetic J ( J >O) which satisfies a normalisation condition, the thermodynamic behaviour is identical to that of the Curie-Weiss model ( J = 1). This simple case is in contrast to the behaviour for a class of translation invariant, nonferromagnetic J, for which a continuum of

doi:10.1088/0305-4470/16/1/026
fatcat:fsztdcpamfes3ecqqlz2ksiaay