  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.
