12 citations · 12 across the 2 of their papers we have counts for
4 papers · 1 filter
Read--Shockley formula for a general Bravais lattice in two dimensions
Lucia Scardia, Edoardo Giovanni Tolotti
In this note we consider a two-dimensional semi-discrete dislocation energy and propose a simple and physically motivated construction for the grain boundary between two crystal gr…
Nonlocal anisotropic Riesz interactions with a physical confinement
Maria Giovanna Mora, Luca Rondi, Lucia Scardia +1
In this work we fully characterize, in any space dimension, the minimizer of a class of nonlocal and anisotropic Riesz energies defined over probability measures supported on ellip…
Explicit minimisers for anisotropic Riesz energies
Rupert L. Frank, Joan Mateu, Maria Giovanna Mora +3
In this paper we describe explicitly the energy minimisers of a class of nonlocal interaction energies where the attraction is quadratic, and the repulsion is Riesz-like and anisot…
Convergence and non-convergence of many-particle evolutions with multiple signs
Adriana Garroni, Patrick van Meurs, Mark A. Peletier +1
We address the question of convergence of evolving interacting particle systems as the number of particles tends to infinity. We consider two types of particles, called positive an…