Energy-decreasing dynamics in mean-field spin models

2 2 Ja n 20 03 Energy - Decreasing Dynamics in Mean - Field Spin Models

We perform a statistical analysis of deterministic energy-decreasing algorithms on mean-field spin models with complex energy landscape like the Sine model and the Sherrington Kirkpatrick model. We specifically address the following question: in the search of low energy configurations is it convenient (and in which sense) a quick decrease along the gradient (greedy dynamics) or a slow decrease ...

Mean field models for spin glasses

Translation from physics: ‘Glass’: a material which is hard and inflexible (like a solid) but is not completely ordered or lattice-like in its microscropic structure (thus, unlike a crystal or simple metals). ‘Spin’: pertaining to the magnetic spins of ions in a material. ‘Spin glass’: a material, effectively solid, which contains some irregular distribution of magnetizable ions. Basic laborato...

Dynamics within metastable states in a mean-field spin glass

In this letter we present a dynamical study of the structure of metastable states (corresponding to TAP solutions) in a mean-field spin–glass model. After reviewing known results of the statical approach, we use dynamics: starting from an initial condition thermalized at a temperature between the statical and the dynamical transition temperatures, we are able to study the relaxational dynamics ...

Against Chaos in Temperature in Mean Field Spin Glass Models

We study the problem of chaos in temperature in some mean-field spin-glass models by means of a replica computation over a model of coupled systems. We propose a set of solutions of the saddle point equations which are intrinsically non-chaotic and solve a general problem regarding the consistency of their structure. These solutions are relevant in the case of uncoupled systems too, therefore t...

Weak-ergodicity Breaking in Mean-field Spin-glass Models