Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Irregular diffusion in the bouncing ball billiard   We call a system bouncing ball billiard if it consists of a particle that is
subjected to a constant vertical force and bounces inelastically on a
one-dimendional vibrating periodically corrugated floor. Here we choose
circular scatterers that are very shallow, hence this billiard is a
deterministic diffusive version of the well-known bouncing ball problem on a
flat vibrating plate. Computer simulations show that the diffusion coefficient
of this system is a highly irregular function of the vibration frequency
exhibiting pronounced maxima whenever there are resonances between the
vibration frequency and the average time of flight of a particle. In addition
there exist irregularities on finer scales that are due to higher-order
dynamical correlations pointing towards a fractal structure of this curve. We
analyze the diffusive dynamics by classifying the attracting sets and by
working out a simple random walk approximation for diffusion, which is
systematically refined by using a Green-Kubo formula.

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The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas