Kinetic Hierarchies and Macroscopic Limits for Crystalline Steps in $1+1$ Dimensions

DOI10.1137/080726495zbMath1178.35361OpenAlexW2092583102MaRDI QIDQ3182798

Dionisios Margetis, Athanassios E. Tzavaras

Publication date: 16 October 2009

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080726495

zbMATH Keywords

surface diffusioncorrelation functionkinetic theorymacroscopic limitepitaxial growthparticle systempropagation of chaosclosurecrystal surfaceBogoliubov-Born-Green-Kirkwood-Yvon hierarchyevaporation-condensationBurton-Cabrera-Frank modelstep chemical potential

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Structured surfaces and interfaces, coexistent phases (74A50) Statistical mechanics of crystals (82D25) Micromechanical theories (74A60) Transport processes in time-dependent statistical mechanics (82C70) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) PDEs in connection with statistical mechanics (35Q82)

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