Abstract
The disordered structure formed by particles that are sequentially deposited onto a line is analysed. Analytical expressions of the pair correlation function, the structure factor, and the fluctuations of the number of particles are obtained for the generalized ballistic deposition model. For all integer values of the distance between particles, the pair correlation function has a discontinuity and a delta-singularity, which both result from cluster formation. A comparison is made with equilibrium configurations of sticky hard rods. It is shown that, in contrast to equilibrium systems (but as in the random sequential addition model), the correlations between particles decay faster than exponentially at large distances.
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