Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical speeding-up in a local dynamics for the random-cluster model   We study the dynamic critical behavior of the local bond-update (Sweeny)
dynamics for the Fortuin-Kasteleyn random-cluster model in dimensions d=2,3, by
Monte Carlo simulation. We show that, for a suitable range of q values, the
global observable S_2 exhibits "critical speeding-up": it decorrelates well on
time scales much less than one sweep, so that the integrated autocorrelation
time tends to zero as the critical point is approached. We also show that the
dynamic critical exponent z_{exp} is very close (possibly equal) to the
rigorous lower bound \alpha/\nu, and quite possibly smaller than the
corresponding exponent for the Chayes-Machta-Swendsen-Wang cluster dynamics.

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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: eess