title: Spin-1 Hopfield model under a random field.
abstract: 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.
authors.affiliation: Instituto de Física e Matemática, Universidade Federal de Pelotas, 96010-900 Pelotas, RS, Brazil.
authors.forename: C V
authors.initials: CV
authors.lastname: Morais
authors.affiliation: Programa de Pós-Graduação em Física - Instituto de Matemática, Estatística e Física, Universidade Federal do Rio Grande, 96.201-900, Rio Grande, RS, Brazil.
authors.forename: M J
authors.initials: MJ
authors.lastname: Lazo
authors.affiliation: Departamento de Fisica, Universidade Federal de Santa Maria, 97105-900 Santa Maria, RS, Brazil.
authors.forename: F M
authors.initials: FM
authors.lastname: Zimmer
authors.affiliation: Instituto de Física e Matemática, Universidade Federal de Pelotas, 96010-900 Pelotas, RS, Brazil.
authors.forename: P R
authors.initials: PR
authors.lastname: Krebs
authors.affiliation: Instituto de Fisica, Universidade Federal Fluminense, 24210-346 Niterói, RJ, Brazil.
authors.forename: S G
authors.initials: SG
authors.lastname: Magalhaes