Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong Correlations Between Fluctuations and Response in Aging Transport   Once the problem of ensemble averaging is removed, correlations between the
response of a single molecule to an external driving field $F$, with the
history of fluctuations of the particle, become detectable. Exact analytical
theory for the continuous time random walk and numerical simulations for the
quenched trap model give the behaviors of the correlation between fluctuations
of the displacement in the aging period $(0,t_a)$, and the response to bias
switched on at time $t_a$. In particular in the dynamical phase where the
models exhibit aging we find finite correlations even in the asymptotic limit
$t_a \to \infty$, while in the non-aging phase the correlations are zero in the
same limit. Linear response theory gives a simple relation between these
correlations and the fractional diffusion coefficient.

15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas