Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-02-06
Phys. Rev. E 73, 046121 (2006)
Physics
Condensed Matter
Statistical Mechanics
15 pages + 5 figures
Scientific paper
10.1103/PhysRevE.73.046121
We consider a particle moving on the half line $x>0$ and subject to a constant force in the $-x$ direction plus a delta-correlated random force. At $x=0$ the particle is reflected inelastically. The velocities just after and before reflection satisfy $v_f=-rv_i$, where $r$ is the coefficient of restitution. This simple model is of interest in connection with studies of driven granular matter in a gravitational field. With an exact analytical approach and simulations we study the steady state distribution function $P(x,v)$.
Burkhardt Theodore W.
Kotsev Stanislav N.
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