Spin-1 Hopfield model under a random field
  The goal of the present work is to investigate the role of trivial disorder and nontrivial disorder in the three-state Hopfield model under a Gaussian random field. In order to control the nontrivial disorder, the Hebb interaction is used. This provides a way to control the system frustration by means of the parameter a=p/N, varying from trivial randomness to a highly frustrated regime, in the thermodynamic limit. We performed the thermodynamic analysis using the one-step replica-symmetry-breaking mean field theory to obtain the order parameters and phase diagrams for several strengths of a, the anisotropy constant, and the random field. 
C. V. Morais, M. J. Lazo, F. M. Zimmer, P. R. Krebs, and S. G.   Magalhaes
cond-mat.stat-mech cond-mat.dis-nn