Stationary states of crystal growth in three dimensions

DOI10.1007/BF02179253zbMath1107.60325MaRDI QIDQ2500097

D. J. Gates, Mark Westcott

Publication date: 23 August 2006

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

zbMATH Keywords

simulationthermodynamic limitMarkov processgrowth ratestationary distributioncluster expansioncoincidence probabilityCrystal growthsolid-on-solid

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Other physical applications of random processes (60K40)

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Anisotropic \((2+1)\)d growth and Gaussian limits of \(q\)-Whittaker processes ⋮ Initial transient growth in polynuclear models for crystal layers and epitaxial films ⋮ Two-dimensional anisotropic KPZ growth and limit shapes ⋮ Large time asymptotics of growth models on space-like paths. II: PNG and parallel TASEP ⋮ An exactly solved model of three-dimensional surface growth in the anisotropic KPZ regime ⋮ The domino shuffling algorithm and anisotropic KPZ stochastic growth ⋮ Hydrodynamic limit of a \((2+1)\)-dimensional crystal growth model in the anisotropic KPZ class

Cites Work

• Markov models of steady crystal growth
• Kinetic six-vertex model as model of bcc crystal growth
• Seven basic regimes of steady crystal growth in two dimensions
• Growth and decrescence of two-dimensional crystals: a Markov rate process.
• On the stability of crystal growth.
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