Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Order Parameter Flow in the SK Spin-Glass I: Replica Symmetry   We present a theory to describe the dynamics of the Sherrington- Kirkpatrick
spin-glass with (sequential) Glauber dynamics in terms of deterministic flow
equations for macroscopic parameters. Two transparent assumptions allow us to
close the macroscopic laws. Replica theory enters as a tool in the calculation
of the time- dependent local field distribution. The theory produces in a
natural way dynamical generalisations of the AT- and zero-entropy lines and of
Parisi's order parameter function $P(q)$. In equilibrium we recover the
standard results from equilibrium statistical mechanics. In this paper we make
the replica-symmetric ansatz, as a first step towards calculating the order
parameter flow. Numerical simulations support our assumptions and suggest that
our equations describe the shape of the local field distribution and the
macroscopic dynamics reasonably well in the region where replica symmetry is
stable.

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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con