Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evidence of growing spatial correlations at the glass transition from
  nonlinear response experiments   The ac nonlinear dielectric response $\chi_3(\omega,T)$ of glycerol was
measured close to its glass transition temperature $T_g$ to investigate the
prediction that supercooled liquids respond in an increasingly non-linear way
as the dynamics slows down (as spin-glasses do). We find that
$\chi_3(\omega,T)$ indeed displays several non trivial features. It is peaked
as a function of the frequency $\omega$ and obeys scaling as a function of
$\omega \tau(T)$, with $\tau(T)$ the relaxation time of the liquid. The height
of the peak, proportional to the number of dynamically correlated molecules
$N_{corr}(T)$, increases as the system becomes glassy, and $\chi_3$ decays as a
power-law of $\omega$ over several decades beyond the peak. These findings
confirm the collective nature of the glassy dynamics and provide the first
direct estimate of the $T$ dependence of $N_{corr}$.

23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ