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4 papers
Homogenization in one-dimensional higher-order non-local models of phase transitions
Fabrizio Caragiulo, Sergio Scalabrino, Edoardo Voglino
We study the limit behavior of Cahn--Hilliard-type functionals in which the derivative is replaced by higher-order fractional derivatives and modulated by an oscillating factor. De…
Modulated phases in Ising systems with long-range antiferromagnetic and short-range ferromagnetic interactions
Andrea Braides, Fabrizio Caragiulo
We consider large spin systems with short-range ferromagnetic interactions and long-range antiferromagnetic interactions subjected to periodic boundary conditions which have been p…
Edge transport in Haldane-like models with quasi-periodic disorder
Fabrizio Caragiulo, Vieri Mastropietro, Marcello Porta
We consider Haldane-like topological insulators on the cylinder, in the presence of weak quasi-periodic disorder. We prove that, at large distances, the boundary correlations…
A note on the homogenization of incommensurate thin films
Irene Anello, Andrea Braides, Fabrizio Caragiulo
Dimension-reduction homogenization results for thin films have been obtained under hypotheses of periodicity or almost-periodicity of the energies in the directions of the mid-plan…