Two-Dimensional Granular Gas of Inelastic Spheres with Multiplicative Driving

We study a two-dimensional granular gas of inelastic spheres subject to multiplicative driving proportional to a power $|v\left(\mathit{x}\right){|}^{\delta }$ of the local particle velocity $v\left(\mathit{x}\right)$. The steady state properties of the model are examined for different values of $\delta$, and compared with the homogeneous case $\delta =0\mathrm{}$. A driving linearly proportional to $v\left(\mathit{x}\right)$ seems to reproduce some experimental observations which could not be reproduced by a homogeneous driving. Furthermore, we obtain that the system can be homogenized even for strong dissipation, if a driving inversely proportional to the velocity is used.