Surface and Bulk Properties of Deposits Grown with a Bidisperse Ballistic Deposition Model

Abstract

We study roughness scaling of the outer surface and the internal porous structure of deposits generated with the three-dimensional bidisperse ballistic deposition (BBD), in which particles of two sizes are randomly deposited. Systematic extrapolation of roughness and dynamical exponents and the comparison of roughness distributions indicate that the top surface has Kardar-Parisi-Zhang scaling for any ratio F of the flux between large and small particles. A scaling theory predicts the characteristic time of the crossover from random to correlated growth in BBD and provides relations between the amplitudes of roughness scaling and F in the KPZ regime. The porosity of the deposits monotonically increases with F and scales as F^{1/2} for small F, which is also explained by the scaling approach and illustrates the possibility of connecting surface growth rules and bulk properties. The suppression of relaxation mechanisms in BBD enhances the connectivity of the deposits when compared to other ballisticlike models, so that they percolate down to F~0.05. The fractal dimension of the internal surface of the percolating deposits is D_F~2.9, which is very close to the values in other ballisticlike models and suggests universality among these systems.

arXiv comment18 pages, 8 figures, to be published in Physical Review E

References in corpus (13)

• A ``Tetris''-like model for the Compaction of Dry Granular Media
• Critical Exponents of the KPZ Equation via Multi-Surface Coding Numerical Simulations
• Universality in two-dimensional Kardar-Parisi-Zhang growth
• Roughness distributions for 1/f^alpha signals
• What is the connection between ballistic deposition and the Kardar-Parisi-Zhang equation?
• Scaling in the crossover from random to correlated growth
• Dynamic properties in a family of competitive growing models
• A Growth Model for Porous Sedimentary Rocks
• Roughness fluctuations, roughness exponents and the universality class of ballistic deposition
• Exact scalings in competitive growth models
• Structure Below the Growing Surface
• Dynamic transition in deposition with a poisoning species
• Magnetically controlled ballistic deposition. A model of polydisperse granular packing

Cited by in corpus (11)

• Mapping of 2+1-dimensional Kardar-Parisi-Zhang growth onto a driven lattice gas model of dimer
• Roughness exponents and grain shapes
• Random deposition of particles of different sizes
• Crossover from anomalous to normal diffusion in porous media
• Surface and bulk properties of ballistic deposition models with bond breaking
• Langevin equations for competitive growth models
• Thin film growth by random deposition of linear polymers on a square lattice
• Anomalous roughening in competitive growth models with time-decreasing rates of correlated dynamics
• Non-universal finite size scaling of rough surfaces
• Transition from compact to porous films in deposition with temperature activated diffusion
• Power-law Interpolation of AC-DC Differences