Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical thermalization in time-dependent Billiards   Numerical experiments of the statistical evolution of an ensemble of
non-interacting particles in a time-dependent billiard with inelastic
collisions, reveals the existence of three statistical regimes for the
evolution of the speeds ensemble, namely, diffusion plateau, normal
growth/exponential decay and stagnation. These regimes are linked numerically
to the transition from Gauss-like to Boltzmann-like speed distributions.
Further, the different evolution regimes are obtained analytically through
velocity-space diffusion analysis. From these calculations the asymptotic root
mean square of speed, initial plateau, and the growth/decay rates for
intermediate number of collisions are determined in terms of the system
parameters. The analytical calculations match the numerical experiments and
point to a dynamical mechanism for thermalization, where inelastic collisions
and a high-dimensional phase space lead to a bounded diffusion in the velocity
space towards a stationary distribution function with a kind of reservoir
temperature determined by the boundary oscillation amplitude and the
restitution coefficient.

25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an