Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universality of the REM for dynamics of mean-field spin glasses   We consider a version of a Glauber dynamics for a p-spin
Sherrington--Kirkpatrick model of a spin glass that can be seen as a time
change of simple random walk on the N-dimensional hypercube. We show that, for
any p>2 and any inverse temperature \beta>0, there exist constants g>0, such
that for all exponential time scales, $\exp(\gamma N)$, with $\gamma< g$, the
properly rescaled clock process (time-change process), converges to an
\alpha-stable subordinator where \alpha=\gamma/\beta^2<1. Moreover, the
dynamics exhibits aging at these time scales with time-time correlation
function converging to the arcsine law of this \alpha-stable subordinator. In
other words, up to rescaling, on these time scales (that are shorter than the
equilibration time of the system), the dynamics of p-spin models ages in the
same way as the REM, and by extension Bouchaud's REM-like trap model,
confirming the latter as a universal aging mechanism for a wide range of
systems. The SK model (the case p=2) seems to belong to a different
universality class.

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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: eess