Variational problems with percolation: dilute spin systems at zero temperature

DOI10.1007/s10955-012-0628-1zbMath1260.82043OpenAlexW2063860164MaRDI QIDQ1938800

Andrea Braides, Andrey L. Piatnitski

Publication date: 25 February 2013

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

Full work available at URL: https://doi.org/10.1007/s10955-012-0628-1

zbMATH Keywords

variational problemsgamma-convergencefirst-passage percolationdilute spinslattice energies

Mathematics Subject Classification ID

Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (10)

Homogenization theory: periodic and beyond. Abstracts from the workshop held March 14--20, 2021 (online meeting) ⋮ Isoperimetry in supercritical bond percolation in dimensions three and higher ⋮ Continuum limit and stochastic homogenization of discrete ferromagnetic thin films ⋮ Asymptotic behavior of the Dirichlet energy on Poisson point clouds ⋮ An example of non-existence of plane-like minimizers for an almost-periodic Ising system ⋮ Quantitative analysis of finite-difference approximations of free-discontinuity problems ⋮ Interfaces, modulated phases and textures in lattice systems ⋮ Coarse graining and large-\(N\) behavior of the \(d\)-dimensional \(N\)-clock model ⋮ Asymptotic behaviour of ground states for mixtures of ferromagnetic and antiferromagnetic interactions in a dilute regime ⋮ Homogenization of ferromagnetic energies on Poisson random sets in the plane

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