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Non-equilibrium criticality and efficient exploration of glassy landscapes with memory dynamics

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  • Pei, Yan Ru
  • Di Ventra, Massimiliano

Abstract

Spin glasses are notoriously difficult to study both analytically and numerically due to the presence of frustration and metastability. Their highly non-convex landscapes require collective updates to explore efficiently. Currently, most state-of-the-art algorithms rely on stochastic spin clusters to perform non-local updates, but such “cluster algorithms” lack general efficiency. Here, we introduce a non-equilibrium approach for simulating spin glasses based on classical dynamics with memory. By simulating various classes of 3d spin glasses (Edwards–Anderson, partially-frustrated, and fully-frustrated models), we find that memory dynamically promotes critical spin clusters during time evolution, in a self-organizing manner. This facilitates an efficient exploration of the low-temperature phases of spin glasses.

Suggested Citation

  • Pei, Yan Ru & Di Ventra, Massimiliano, 2022. "Non-equilibrium criticality and efficient exploration of glassy landscapes with memory dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 591(C).
    • Handle: RePEc:eee:phsmap:v:591:y:2022:i:c:s0378437121009353
    DOI: 10.1016/j.physa.2021.126727
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