The mean-field theory of a spin glass with a specific form of nearestand next-nearest-neighbor interactions is investigated. Depending on the sign of the interaction matrix chosen we find either the continuous replica symmetry breaking seen in the Sherrington-Kirkpartick model or a one-step solution similar to that found in structural glasses. Our results are confirmed by numerical simulations ...

Kirkpatrick, R. J. (1981) In Kinetics of Geochemical Processes (A. C. Lasaga and R. J. Kirkpatrick, eds.). Mineral. Soc. Am. Washington, DC, 321-98. Kohli, C. S., and Ives, M. B. (1972) J. Crystal Growth, 16, 123-30. Kuo, L.-C., and Kirkpatrick, R. J. (1983) EOS, Trans. Amer. Geophys. Union, 64, 349. Lacmann, R., Franke, W., and Heimann, R. (1974) J. Crystal Growth, 26, 106-16, 117-21. Lofgren,...

The analytic solution to the dynamics of the Sherrington-Kirkpatrick model was developed in the nineties. It involves directly measurable out of equilibrium quantities, and thus addresses the questions relevant to an experimental system. We here review the out of equilibrium relaxation of this model and how it compares to experimental measurements. Out of equilibrium dynamics 2

In response to the demanding change in work environments, most companies not only depend on traditional training, but also on e-learning and emphasizing it in safety and health. The benefits and cost effectiveness of the benefits of e-learning training are trusted. Nevertheless, accidents still happen at the workplace. This has become an issue to be studied, especially on the effectiveness of e...

In this paper, we study the high temperature or low connectivity phase of the Viana-Bray model. This is a diluted version of the well known Sherrington-Kirkpatrick mean field spin glass. In the whole replica symmetric region, we obtain a complete control of the system, proving annealing for the infinite volume free energy, and a central limit theorem for the suitably rescaled fluctuations of th...

By using a simple interpolation argument, in previous work we have proven the existence of the thermodynamic limit, for mean field disordered models, including the Sherrington-Kirkpatrick model, and the Derrida p-spin model. Here we extend this argument in order to compare the limiting free energy with the expression given by the Parisi Ansatz, and including full spontaneous replica symmetry br...