title: Partial annealing of a coupled mean-field spin-glass model with an embedded pattern.
abstract: A partially annealed mean-field spin-glass model with a locally embedded pattern is studied. The model consists of two dynamical variables, spins and interactions, that are in contact with thermal baths at temperatures T(S) and T(J), respectively. Unlike the quenched system, characteristic correlations among the interactions are induced by the partial annealing. The model exhibits three phases: paramagnetic, ferromagnetic and spin-glass. In the ferromagnetic phase, the embedded pattern is stably realized. The phase diagram depends significantly on the ratio of the two temperatures, n=T(S)/T(J). In particular, a reentrant transition from the embedded ferromagnetic to the spin-glass phase with T(S) decreasing is found only below a certain value of n. This indicates that above the critical value n(c) the embedded pattern is supported by a local field from a nonembedded region. Some equilibrium properties of the interactions in the partial annealing are also discussed in terms of frustration.
authors.affiliation: Department of Basic Science, Graduate School of Arts and Sciences, The University of Tokyo, Komaba, Meguro-ku, Tokyo 153-8902, Japan. ayaka@huku.c.u-tokyo.ac.jp
authors.forename: Ayaka
authors.initials: A
authors.lastname: Sakata
authors.forename: Koji
authors.initials: K
authors.lastname: Hukushima