Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-Parameter Scaling Law of the Anderson Transition   It is shown that the Anderson transition (AT) in 3d obeys a two-parameter
scaling law, derived from a pair of anisotropic scaling transformations, and
corresponding critical exponents and scaling function calculated, using a
high-precision numerical finite-size scaling study of the smallest Lyapunov
exponent of quasi-1d systems of rectangular cross-section of L times l atoms in
the limit of infinite L and l < L, for x=l/L ranging from 1/30 to 1/4. The
second parameter is x, and there are two singularities: apart from the
two-parameter scaling describing AT for x>0, corrections to scaling due to the
irrelevant scaling field diverge when x->0, and the corresponding crossover
length scale is also estimated. Furthermore, results suggest that the
signatures of the AT in 3d should be present also in 2d strongly localized
regime.

18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg