Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlations in the Adiabatic Response of Chaotic Systems   Adiabatic variation of the parameters of a chaotic system results in a
fluctuating reaction force. In the leading order in the adiabaticity parameter,
a dissipative force, that is present in classical mechanics was found to vanish
in quantum mechanics. On the time scale t, this force is proportional to I(t),
the integral of the force-force correlation function over time t. In order to
understand the crossover between the classical and the quantum mechanical
behavior we calculated I(t) in random matrix theory. We found that for systems
belonging to the Gaussian unitary ensemble this crossover takes place at a
characteristic time (proportional to the Heisenberg time) and for longer times
I(t) practically vanishes, resulting in vanishing dissipation. For systems
belonging to the Gaussian orthogonal ensemble I(t) drops like 1/t and there is
no such characteristic time. I(t) is calculated for various models and the
relation to experiment is discussed.

2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys