The systematic approach for the off-perturbative calculations in disordered systems is developed. The proposed scheme is applied for the random temperature and the random field ferromagnetic Ising models. It is shown that away from the critical point, in the paramagnetic phase of the random...

In this work, after a short phenomenological introduction on glasses, I will describe some recent progresses that have been made in glasses using the replica method in the definition and in the evaluation of the configurational entropy (or complexity). These results are at the basis of some...

By modeling research systems as complex systems we generalize similarity measures used in the literature during the last two decades. We propose to use the mathematical tools developed within the spin-glasses literature to evaluate similarity within systems and between systems in a unified...

We examine the phase diagram of the p-interaction spin glass model in a transverse field. We consider a spherical version of the model and compare with results obtained in the Ising case. The analysis of the spherical model, with and without quantization, reveals a phase diagram very similar to...

The mean number (N) of metastable states in higher order short-range spin glasses is estimated analytically using a variational method introduced by Tanaka and Edwards for very large coordination numbers. For lattices with small connectivities, numerical simulations do not show any significant...

We introduce a simple spin model which shows glassy behavior at low temperatures, despite a Hamiltonian which is completely homogeneous and possesses no randomness; ergodicity breaking in this model is due entirely to the model's dynamics. We solve exactly for the model's equilibrium partition...

The present work studies the Ghatak–Sherrington (GS) model in the presence of a longitudinal magnetic random field (RF) hi following a bimodal distribution. The model considers a random bond interaction Ji,j which follows a Gaussian distribution with mean J0/N and variance J2/N. This allows us...

In this work we present a numerical study of the complex dynamical behavior of the Hopfield model within its retrieval phase. We find that the spin glass solutions that coexist with the retrieval attractors display a rich out of equilibrium dynamics suggesting the presence of a very intricate...