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math.AP2026★ 1 cited
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…
math.AP2025
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…