# Growth and Roughness of the Interface for Ballistic Deposition

@article{Penrose2006GrowthAR, title={Growth and Roughness of the Interface for Ballistic Deposition}, author={Mathew D. Penrose}, journal={Journal of Statistical Physics}, year={2006}, volume={131}, pages={247-268} }

In ballistic deposition (BD), (d+1)-dimensional particles fall sequentially at random towards an initially flat, large but bounded d-dimensional surface, and each particle sticks to the first point of contact. For both lattice and continuum BD, a law of large numbers in the thermodynamic limit establishes convergence of the mean height and surface width (sample standard deviation of the height) of the interface to constants h(t) and w(t), respectively, depending on time t. We show that h(t) is…

## 3 Citations

Scaling limit of the heavy-tailed ballistic deposition model with $p$-sticking

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Ballistic Deposition was proposed by Vold [9] and Sutherland [8] as a model for colloidal aggregation. These early works were later extended to simulate the process of vapor deposition. In general,…

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We study the effects of turbulent mixing on the random growth of an interface in the problem of the deposition of a substance on a substrate. The growth is modeled by the well-known…

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This work revisits the model of the ballistic deposition studied in [5] and proves several combinatorial properties of the random tree structure formed by the underlying stochastic process as well as certain intricate moments calculations.

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