An interference problem with application to crystal growth

DOI10.1239/aap/1093962231zbMath1109.60067OpenAlexW2050688685MaRDI QIDQ4662235

J. L. Steichen, Frank B. Knight

Publication date: 30 March 2005

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aap/1093962231

zbMATH Keywords

modelingsimulationMarkov processcrystal growth

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Brownian motion (60J65) Statistical mechanics of crystals (82D25) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Cites Work

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• Ergodic properties of several interacting Poisson particles
• A general stochastic model for nucleation and linear growth
• A probabilistic model for the time to unravel a strand of dna
• A limit theorem for the replication time of a DNA molecule
• Limit theorems for the time of completion of Johnson-Mehl tessellations

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