Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Violation of Scaling in the Contact Process with Quenched Disorder   We study the two-dimensional contact process (CP) with quenched disorder
(DCP), and determine the static critical exponents beta and nu_perp. The
dynamic behavior is incompatible with scaling, as applied to models (such as
the pure CP) that have a continuous phase transition to an absorbing state. We
find that the survival probability (starting with all sites occupied), for a
finite-size system at critical, decays according to a power law, as does the
off-critical density autocorrelation function. Thus the critical exponent
nu_parallle, which governs the relaxation time, is undefined, since the
characteristic relaxation time is itself undefined. The logarithmic
time-dependence found in recent simulations of the critical DCP [Moreira and
Dickman, Phys. Rev. E54, R3090 (1996)] is further evidence of violation of
scaling. A simple argument based on percolation cluster statistics yields a
similar logarithmic evolution.

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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci