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Matrix models as solvable glass models

L. F. Cugliandolo·J. Kurchan·G. Parisi·F. Ritort
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Abstract

We present a family of solvable models of interacting particles in high dimensionalities without quenched disorder. We show that the models have a glassy regime with aging effects. The interaction is controlled by a parameter $p$. For $p=2$ we obtain matrix models and for $p>2$ `tensor' models. We concentrate on the cases $p=2$ which we study analytically and numerically.

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L. F. Cugliandolo, J. Kurchan, G. Parisi, F. Ritort. 1994-07-21. Matrix models as solvable glass models. https://doi.org/10.1103/physrevlett.74.1012

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