Homogenization of surface and length energies for spin systems

DOI10.1016/j.jfa.2013.01.004zbMath1270.35057OpenAlexW1981206651MaRDI QIDQ1948130

Andrea Braides, Andrey L. Piatnitski

Publication date: 30 April 2013

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2013.01.004

zbMATH Keywords

finite perimeter $\Gamma $-convergence Ising system spin variable $BV$-topology Besicovich derivation theorem discrete-to-continuous homogenization homogenizable system

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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