Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2002-07-17
Phys. Rev. Lett. 90, 017203 (2003)
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 5 figures (7 eps files)
Scientific paper
10.1103/PhysRevLett.90.017203
We consider the dynamics of a diluted mean-field spin glass model in the aging regime. The model presents a particularly rich heterogeneous behavior. In order to catch this behavior, we perform a **spin-by-spin analysis** for a **given disorder realization**. The results compare well with the outcome of a static calculation which uses the ``survey propagation'' algorithm of Mezard, Parisi, and Zecchina [Sciencexpress 10.1126/science.1073287 (2002)]. We thus confirm the connection between statics and dynamics at the level of single degrees of freedom. Moreover, working with single-site quantities, we can introduce a new response-vs-correlation plot, which clearly shows how heterogeneous degrees of freedom undergo coherent structural rearrangements. Finally we discuss the general scenario which emerges from our work and (possibly) applies to more realistic glassy models. Interestingly enough, some features of this scenario can be understood recurring to thermometric considerations.
Montanari Andrea
Ricci-Tersenghi Federico
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