1307.3564 (V. V. Prasad et al.)

High Energy Tail of the Velocity Distribution of Driven Inelastic Gases    [PDF]

V. V. Prasad, Sanjib Sabhapandit, Abhishek Dhar

A model of homogeneously driven dissipative system, consisting of a collection of $N$ particles that are characterized by only their velocities, is considered. Adopting a discrete time dynamics, at each time step, a pair of velocities is randomly selected. They undergo inelastic collision with probability $p$. With probability $(1-p)$, energy of the system is changed by changing the velocities of both the particles independently according to $v\rightarrow -r_w v +\eta$, where $\eta$ is a Gaussian noise drawn independently for each particle as well as at each time steps. For the case $r_w=\pm 1$, although the energy of the system seems to saturate (indicating a steady state) after time steps of O(N), it grows linearly with time after time steps of $O(N^2)$, indicating the absence of a eventual steady state. For $ -1 View original: http://arxiv.org/abs/1307.3564