Hydrodynamic limit of a \((2+1)\)-dimensional crystal growth model in the anisotropic KPZ class

DOI10.1214/20-EJP473zbMath1456.60188arXiv1910.01015MaRDI QIDQ782825

Vincent Lerouvillois

Publication date: 29 July 2020

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.01015

zbMATH Keywords

hydrodynamic limitinterface growthanisotropic KPZ

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

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The stationary AKPZ equation: Logarithmic superdiffusivity ⋮ Initial transient growth in polynuclear models for crystal layers and epitaxial films ⋮ Hydrodynamic limit for a 2D interlaced particle process

Cites Work

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• Hydrodynamic Limit and Viscosity Solutions for a Two‐Dimensional Growth Process in the Anisotropic KPZ Class
• Anisotropic KPZ growth in 2+1 dimensions: fluctuations and covariance structure
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