Geometrical selection in growing needles

DOI10.1088/1742-5468/ab270czbMath1457.82418arXiv1902.01964OpenAlexW2913831522MaRDI QIDQ5132098

P. L. Krapivskij, L. I. Nazarov, Mikhail V. Tamm

Publication date: 9 November 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01964

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Statistical mechanics of crystals (82D25) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

• A one-dimensional Poisson growth model with non-overlapping intervals.
• Pattern formation by growing droplets: The touch-and-stop model of growth
• Two lilypond systems of finite line-segments
• Nearest neighbor and hard sphere models in continuum percolation
• Random space-filling-tiling: fractal properties and kinetics
• The volume fraction of a Poisson germ model with maximally non-overlapping spherical grains
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