Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Field-Driven Hysteresis of the d=3 Ising Spin Glass: Hard-Spin
  Mean-Field Theory   Hysteresis loops are obtained in the Ising spin-glass phase in d=3, using
frustration-conserving hard-spin mean-field theory. The system is driven by a
time-dependent random magnetic field H_Q that is conjugate to the spin-glass
order Q, yielding a field-driven first-order phase transition through the
spin-glass phase. The hysteresis loop area A of the Q-H_Q curve scales with
respect to the sweep rate h of magnetic field as A-A_0 = h^b. In the spin-glass
and random-bond ferromagnetic phases, the sweep-rate scaling exponent b changes
with temperature T, but appears not to change with antiferromagnetic bond
concentration p. By contrast, in the pure ferromagnetic phase, b does not
depend on T and has a sharply different value than in the two other phases.

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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: math
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org