Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite-size effects and intermittency in a simple aging system   We study the intermittent dynamics and the fluctuations of the dynamic
correlation function of a simple aging system. Given its size $L$ and its
coherence length $\xi$, the system can be divided into $N$ independent
subsystems, where $N=(\frac{L}{\xi})^d$, and $d$ is the dimension of space.
  Each of them is considered as an aging subsystem which evolves according to
an activated dynamics between energy levels.
  We compute analytically the distribution of trapping times for the global
system, which can take power-law, stretched-exponential or exponential forms
according to the values of $N$ and the regime of times considered. An effective
number of subsystems at age $t_w$, $N_{eff}(t_w)$, can be defined, which
decreases as $t_w$ increases, as well as an effective coherence length,
$\xi(t_w) \sim t_w^{(1-\mu)/d}$, where $\mu <1$ characterizes the trapping
times distribution of a single subsystem. We also compute the probability
distribution functions of the time intervals between large decorrelations,
which exhibit different power-law behaviours as $t_w$ increases (or $N$
decreases), and which should be accessible experimentally.
  Finally, we calculate the probability distribution function of the two-time
correlator.
  We show that in a phenomenological approach, where $N$ is replaced by the
effective number of subsystems $N_{eff}(t_w)$, the same qualitative behaviour
as in experiments and simulations of several glassy systems can be obtained.

17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th