Matrix models as solvable glass models

Details Matrix models as solvable glass models Matrix models as solvable glass models

1994-07-21

arxiv.org/abs/cond-mat/9407086v1

Phys.Rev.Lett. 74 (1995) 1012

Physics

Condensed Matter

10 pages + 2 figures, Univ.Roma I, 1038/94, ROM2F/94/27

Scientific paper

10.1103/PhysRevLett.74.1012

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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