Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite-Size Scaling in the Energy-Entropy Plane for the 2D +- J Ising
  Spin Glass   For $L \times L$ square lattices with $L \le 20$ the 2D Ising spin glass with
+1 and -1 bonds is found to have a strong correlation between the energy and
the entropy of its ground states. A fit to the data gives the result that each
additional broken bond in the ground state of a particular sample of random
bonds increases the ground state degeneracy by approximately a factor of 10/3.
For $x = 0.5$ (where $x$ is the fraction of negative bonds), over this range of
$L$, the characteristic entropy defined by the energy-entropy correlation
scales with size as $L^{1.78(2)}$. Anomalous scaling is not found for the
characteristic energy, which essentially scales as $L^2$. When $x= 0.25$, a
crossover to $L^2$ scaling of the entropy is seen near $L = 12$. The results
found here suggest a natural mechanism for the unusual behavior of the low
temperature specific heat of this model, and illustrate the dangers of
extrapolating from small $L$.

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The categories of this paper are: atom-ph
1
The categories of this paper are: cs
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The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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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: alg-geom
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The categories of this paper are: mtrl-th