576 research outputs found
Granular Rough Sphere in a Low-Density Thermal Bath
We study the stationary state of a rough granular sphere immersed in a
thermal bath composed of point particles. When the center of mass of the sphere
is fixed the stationary angular velocity distribution is shown to be Gaussian
with an effective temperature lower than that of the bath. For a freely moving
rough sphere coupled to the thermostat via inelastic collisions we find a
condition under which the joint distribution of the translational and
rotational velocities is a product of Gaussian distributions with the same
effective temperature. In this rather unexpected case we derive a formula for
the stationary energy flow from the thermostat to the sphere in accordance with
Fourier law
Kinetic Integrals in the Kinetic Theory of dissipative gases
The kinetic theory of gases, including Granular Gases, is based on the
Boltzmann equation. Many properties of the gas, from the characteristics of the
velocity distribution function to the transport coefficients may be expressed
in terms of functions of the collision integral which we call kinetic
integrals. Although the evaluation of these functions is conceptually
straightforward, technically it is frequently rather cumbersome. We report here
a method for the analytical evaluation of kinetic integrals using computer
algebra. We apply this method for the computation of some properties of
Granular Gases, ranging from the moments of the velocity distribution function
to the transport coefficients. For their technical complexity most of these
quantities cannot be computed manually.Comment: 32 page
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