Growth and roughness of the interface for ballistic deposition

DOI10.1007/s10955-008-9507-1zbMath1143.82021arXivmath/0608540OpenAlexW2022293454MaRDI QIDQ925246

Mathew D. Penrose

Publication date: 3 June 2008

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608540

zbMATH Keywords

stochastic growth modelfirst-passage percolation

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) Time-dependent percolation in statistical mechanics (82C43)

Related Items (12)

Random interface growth in a random environment: renormalization group analysis of a simple model ⋮ Computational Complexity of Biased Diffusion-Limited Aggregation ⋮ Superconcentration in surface growth ⋮ Existence of stationary ballistic deposition on the infinite lattice ⋮ Scaling limit of the heavy tailed ballistic deposition model with \(p\)-sticking ⋮ Stability of a growth process generated by monomer filling with nearest-neighbour cooperative effects ⋮ On ballistic deposition process on a strip ⋮ Localisation in a growth model with interaction ⋮ Static approach to renormalization group analysis of stochastic models with spatially quenched noise ⋮ Quenched invariance principle for random walks on dynamically averaging random conductances ⋮ Explosion in a growth model with cooperative interaction on an infinite graph ⋮ The Kardar–Parisi–Zhang model of a random kinetic growth: effects of a randomly moving medium

Cites Work

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• On the speed of convergence in first-passage percolation
• First-passage percolation on the square lattice
• First passage percolation has sublinear distance variance.
• Strong law of large numbers for the interface in ballistic deposition
• Limit theorems for monotonic particle systems and sequential deposition.
• A growth model in a random environment
• Limit theory for random sequential packing and deposition
• Normal approximation under local dependence.
• Divergence of shape fluctuations in two dimensions
• Mathematics of random growing interfaces
• Dynamic Scaling of Growing Interfaces
• Random Geometric Graphs
• Ballistic deposition on a planar strip
• Random parking, sequential adsorption, and the jamming limit
• Limit theorems for height fluctuations in a class of discrete space and time growth models

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