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arXiv · 1706.01047

Slow Spin Dynamics and Self-Sustained Clusters in Sparsely Connected Systems

Jacopo Rocchi·David Saad·Chi Ho Yeung
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Abstract

To identify emerging microscopic structures in low temperature spin glasses, we study self-sustained clusters (SSC) in spin models defined on sparse random graphs. A message-passing algorithm is developed to determine the probability of individual spins to belong to SSC. Results for specific instances, which compare the predicted SSC associations with the dynamical properties of spins obtained from numerical simulations, show that SSC association identifies individual slow-evolving spins. This insight gives rise to a powerful approach for predicting individual spin dynamics from a single snapshot of an equilibrium spin configuration, namely from limited static information, which can be used to devise generic prediction tools applicable to a wide range of areas.

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Jacopo Rocchi, David Saad, Chi Ho Yeung. 2017-06-04. Slow Spin Dynamics and Self-Sustained Clusters in Sparsely Connected Systems. https://doi.org/10.1103/physreve.97.062154

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