Equilibrium statistics of an inelastically bouncing ball, subject to gravity and a random force

Theodore W. Burkhardt; Stanislav N. Kotsev

doi:10.1103/physreve.73.046121

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Equilibrium statistics of an inelastically bouncing ball, subject to gravity and a random force

Theodore W. Burkhardt·Stanislav N. Kotsev

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Abstract

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 $P(x,v)$.

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Theodore W. Burkhardt, Stanislav N. Kotsev. 2006-02-06. Equilibrium statistics of an inelastically bouncing ball, subject to gravity and a random force. https://doi.org/10.1103/physreve.73.046121

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