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statistical mechanics

Relaxation dynamics of the Ising $p$-spin disordered model with finite number of variables

arXiv:1904.10731 · doi:10.1209/0295-5075/127/16002

summary

The paper investigates how a fully connected Ising p‑spin glass with a finite number of spins relaxes over time, defining quantities like trapping energies and times and comparing their statistics to trap‑model predictions.

Abstract

We study the dynamic and metastable properties of the fully connected Ising $p$-spin model with finite number of variables. We define trapping energies, trapping times and self correlation functions and we analyse their statistical properties in comparison to the predictions of trap models.

7 pages, 6 figures, final version

Topics & keywords

#spin glasses#p-spin model#dynamics#metastability#trap models#finite-size effectsIsing p-spintrapping energytrapping timeself-correlation functionfully connected model