Abstract
The influence of a finite concentration of particles in random ballistic deposition is studied using a simple two-dimensional off-lattice model. Discs are initially randomly placed, without overlap, in a rectangle. Then they are allowed to fall along the vertical direction and they stop as soon as they contact another disk or the bottom of the rectangle. This process leads to uniform deposits whose density has been estimated for various initial densities. At the 'jamming' threshold (when no more discs can be added to the initial configuration), it is found that the density difference between the deposit and the initial configuration reaches a well defined non-zero value. Moreover, the exponent beta , which shows how the surface thickness grows with the height of the deposit, is shown to stay very close to 1/3, independently of the initial concentration, up to jamming.
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