The ellipse law: Kirchhoff meets dislocations

In this paper we consider a nonlocal energy Iα whose kernel is obtained by adding to the Coulomb potential an anisotropic term weighted by a parameter α∈R. The case α = 0 corresponds to purely logarithmic interactions, minimised by the circle law; α = 1 corresponds to the energy of interacting dislo...

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Bibliographic Details
Main Authors: Carrillo de la Plata, JA, Mateu, J, Mora, MG, Rondi, L, Scardia, L, Verdera, J
Format: Journal article
Published: Springer 2019