Nucleation Parameters for Discrete Threshold Growth on Z2

DOI10.1080/10586458.1997.10504610zbMath0899.60085OpenAlexW1528086814MaRDI QIDQ4376777

Janko Gravner, David Griffeath

Publication date: 12 November 1998

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/231024

zbMATH Keywords

cellular automatanucleationthreshold growth

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (5)

Spreadable cellular automata: modelling and simulations ⋮ Multitype threshold growth: Convergence to Poisson-Voronoi tessellations ⋮ Neighborhood growth dynamics on the Hamming plane ⋮ Random threshold growth dynamics ⋮ Cellular automaton growth on \(\mathbb{Z}^2\): Theorems, examples, and problems

Cites Work

• First passage times for threshold growth dynamics on \(\mathbb{Z}^ 2\)
• Metastability in the Greenberg-Hastings model
• Discrete threshold growth dynamics are omnivorous for box neighborhoods
• Threshold Growth Dynamics
• Asymptotic Behavior of Excitable Cellular Automata

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