Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometrical Aspects of Aging and Rejuvenation in the Ising Spin Glass: A
  Numerical Study   We present a comprehensive study of non-equilibrium phenomena in the low
temperature phase of the Edwards-Anderson Gaussian spin glass in 3 and 4
spatial dimensions. Many effects can be understood in terms of a time dependent
coherence length, $\ell_T$, such that length scales smaller that $\ell_T$ are
equilibrated, whereas larger length scales are essentially frozen. The time and
temperature dependence of $\ell_T$ is found to be compatible with critical
power-law dynamical scaling for small times/high temperatures, crossing over to
an activated logarithmic growth for longer times/lower temperatures, in
agreement with recent experimental results. The activated regime is governed by
a `barrier exponent' psi which we estimate to be psi ~ 1.0 and psi ~ 2.3 in 3
and 4 dimensions, respectively. We observe for the first time the rejuvenation
and memory effects in the four dimensional sample, which, we argue, is
unrelated to `temperature chaos'. Our discussion in terms of length scales
allows us to address several experimentally relevant issues, such as
super-aging versus sub-aging effects, the role of a finite cooling rate, or the
so-called Kovacs effect.

1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc