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norskBrowsing Artikler, rapporter og annet (datateknologi og beregningsorienterte ingeniørfag) by Author "Braides, Andrea"
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Asymptotic Behaviour of Ground States for Mixtures of Ferromagnetic and Antiferromagnetic Interactions in a Dilute Regime
(Journal article; Peer reviewed, 2018-04-30)We consider randomly distributed mixtures of bonds of ferromagnetic and antiferromagnetic type in a two-dimensional square lattice with probability 1−p 1−p and p, respectively, according to an i.i.d. random variable. We study minimizers of the corresponding nearest-neighbour spin energy on large domains in Z 2 Z2 . We prove that there exists p 0 p0 such that for p≤ p 0 p≤p0 such ... -
Homogenization of Ferromagnetic Energies on Poisson Random Sets in the Plane
(Journal article; Tidsskriftartikkel; Peer reviewed, 2022-01-06)We prove that by scaling nearest-neighbour ferromagnetic energies de ned on Poisson random sets in the plane we obtain an isotropic perimeter energy with a surface tension characterised by an asymptotic formula. The result relies on proving that cells with `very long' or `very short' edges of the corresponding Voronoi tessellation can be neglected. In this way we may apply Geometry Measure ... -
Topological Singularities in Periodic Media: Ginzburg–Landau and Core-Radius Approaches
(Journal article; Tidsskriftartikkel; Peer reviewed, 2021-12-20)We describe the emergence of topological singularities in periodic media within the Ginzburg–Landau model and the core-radius approach. The energy functionals of both models are denoted by Eε,δ, where ε represent the coherence length (in the Ginzburg–Landau model) or the core-radius size (in the core-radius approach) and δ denotes the periodicity scale. We carry out the -convergence analysis ...
