Variational analysis in one and two dimensions of a frustrated spin system: chirality and magnetic anisotropy transitions

Autor: Andrea Kubin, Lorenzo Lamberti

Publikováno v: Mathematics in Engineering, Vol 5, Iss 6, Pp 1-37 (2023)

We study the energy of a ferromagnetic/antiferromagnetic frustrated spin system where the spin takes values on two disjoint circles of the 2-dimensional unit sphere. This analysis will be carried out first on a one-dimensional lattice and then on a t

Externí odkaz: https://doaj.org/article/8c14bc448fdb40eca15847703ff6fcdf

The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows

Autor: Andrea Kubin, Marcello Ponsiglione, L. De Luca

Publikováno v: Nonlinear analysis 214 (2022). doi:10.1016/j.na.2021.112585
info:cnr-pdr/source/autori:De Luca L.; Kubin A.; Ponsiglione M./titolo:The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows/doi:10.1016%2Fj.na.2021.112585/rivista:Nonlinear analysis/anno:2022/pagina_da:/pagina_a:/intervallo_pagine:/volume:214

We consider a core-radius approach to nonlocal perimeters governed by isotropic kernels having critical and supercritical exponents, extending the nowadays classical notion of s -fractional perimeter, defined for 0 s 1 , to the case s ≥ 1 . We show

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6d9e72157e7ce6cafbd4263721beb65
https://publications.cnr.it/doc/460989