Low-temperature dynamics of spin glasses: Walking in the energy landscape
S.Kobe, J.Krawczyk

TL;DR
This paper investigates how the low-energy landscape of Ising spin glasses influences their relaxation dynamics, revealing the roles of valleys, clusters, and barriers in the configuration space.
Contribution
It provides an analysis linking the structure of the energy landscape to the relaxation behavior of spin glasses, using exact knowledge of the landscape.
Findings
Valley size and energy barriers significantly affect relaxation times
Connectivity between energy valleys influences spin correlation decay
Low-temperature dynamics are governed by landscape topology
Abstract
We analyse the relationship between dynamics and configuration space structure of Ising spin glass systems. The exact knowledge of the structure of the low--energy landscape is used to study the relaxation of the system by random walk in the configuration space. The influence of the size of the valleys, clusters and energy barriers and the connectivity between them on the spin correlation function is shown.
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