Crystal dislocations with different orientations and collisions
Analysis of PDEs
2015-06-22 v1
Abstract
We study a parabolic differential equation whose solution represents the atom dislocation in a crystal for a general type of Peierls-Nabarro model with possibly long range interactions and an external stress. Differently from the previous literature, we treat here the case in which such dislocation is not the superpositions of transitions all occurring with the same orientations (i.e. opposite orientations are allowed as well).
Cite
@article{arxiv.1407.0620,
title = {Crystal dislocations with different orientations and collisions},
author = {Stefania Patrizi and Enrico Valdinoci},
journal= {arXiv preprint arXiv:1407.0620},
year = {2015}
}