Read--Shockley formula for a general Bravais lattice in two dimensions
Analysis of PDEs
2026-04-23 v1
Abstract
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 grains with a small orientation difference. In the case of a general Bravais lattice, the energy of this construction matches the logarithmic scaling predicted by Read and Shockley.
Keywords
Cite
@article{arxiv.2604.20287,
title = {Read--Shockley formula for a general Bravais lattice in two dimensions},
author = {Lucia Scardia and Edoardo Giovanni Tolotti},
journal= {arXiv preprint arXiv:2604.20287},
year = {2026}
}