Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model
| dc.contributor.author | Weinan, E | |
| dc.contributor.author | Lu, J | |
| dc.date.accessioned | 2017-04-23T15:42:17Z | |
| dc.date.available | 2017-04-23T15:42:17Z | |
| dc.date.issued | 2012-11-27 | |
| dc.description.abstract | The continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model in an external magnetic field is studied. An extension of the classical Cauchy-Born rule for crystal lattices is established for the electronic structure under sharp stability conditions on charge density and spin density waves. A Landau-Lifshitz type of micromagnetic energy functional is derived. © 2012 American Institute of Physics. | |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.uri | ||
| dc.publisher | AIP Publishing | |
| dc.relation.ispartof | Journal of Mathematical Physics | |
| dc.relation.isversionof | 10.1063/1.4755952 | |
| dc.title | Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model | |
| dc.type | Journal article | |
| duke.contributor.orcid | Lu, J|0000-0001-6255-5165 | |
| pubs.issue | 11 | |
| pubs.organisational-group | Chemistry | |
| pubs.organisational-group | Duke | |
| pubs.organisational-group | Mathematics | |
| pubs.organisational-group | Physics | |
| pubs.organisational-group | Trinity College of Arts & Sciences | |
| pubs.publication-status | Published | |
| pubs.volume | 53 |