A model for interfaces and its mesoscopic limit

DOI10.2140/memocs.2018.6.267zbMath1421.82009OpenAlexW2900313054WikidataQ128965743 ScholiaQ128965743MaRDI QIDQ2318141

Michele Aleandri, Venanzio Di Giulio

Publication date: 13 August 2019

Published in: Mathematics and Mechanics of Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/memocs.2018.6.267

zbMATH Keywords

\({\Gamma}\)-convergenceKac potentialmesoscopic limit

Mathematics Subject Classification ID

Large deviations (60F10) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Highly anisotropic scaling limits
• Phase transitions in layered systems
• Layered systems at the mean field critical temperature
• Motion by mean curvature from the Ginzburg-Landau \(\nabla\phi\) interface model
• Rigorous treatment of metastable states in the van der Waals-Maxwell theory
• Particle models with self sustained current
• Rigorous Treatment of the Van Der Waals-Maxwell Theory of the Liquid-Vapor Transition

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