Report

### Continuum Limit of a One-Dimensional Atomistic Energy Based on Local Minimization

Abstract:

For atomistic energies, global minimization gives the wrong qualitative behaviour and therefore continuum limits should be formulated in terms of local minimization. In this paper, a possible process is suggested, to describe local minimization for a simple one-dimensional problem with body and surface energy. It is shown that an atomistic gradient flow evolution converges to a continuum gradient flow as the spacing between the atomis tends to zero. In addition, the convergence of local minim...

### Access Document

Files:
• (pdf, 312.4KB)

### Authors

Publisher:
Unspecified
Publication date:
2005-07-01
UUID:
uuid:cac9ea7c-d04d-4546-81c5-e23f8c4f26ab
Local pid:
oai:eprints.maths.ox.ac.uk:1142
Deposit date:
2011-05-20