Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Persistence in Ferromagnetic Ordering: Dependence upon initial
  configuration   We study the dynamics of ordering in ferromagnets via Monte Carlo simulations
of the Ising model, employing the Glauber spin-flip mechanism, in space
dimensions $d=2$ and $3$. Results for the persistence probability and the
domain growth are discussed for quenches to various temperatures ($T_f$) below
the critical one ($T_{c}$), from different initial temperatures $T_{i} \geq
T_{c}$. In long time limit, for $T_{i} > T_{c}$, the persistence probability
exhibits power-law decay with exponents $\theta \simeq 0.22$ and $\simeq 0.18$
in $d=2$ and $3$, respectively. For finite $T_i$, the early time behavior is a
different power-law whose life-time diverges and exponent decreases as $T_{i}
\rightarrow T_{c}$. The crossover length between the two steps diverges as the
equilibrium correlation length. $T_i=T_c$ is expected to provide a {\it{new
universality class}} for which we obtain $\theta \simeq 0.035$ in $d=2$ and
$\simeq 0.10$ in $d=3$. The time dependence of the average domain size $\ell$,
however, is observed to be rather insensitive to the choice of $T_i$.

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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: econ