Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Oct 12, 2012
- Source ID
- 10.1063/1.4755952
Entities
People
- Jianfeng Lu
- Weinan E
Organizations
- National Science Foundation
- New York University
- Office of Naval Research
- Peking University
- Princeton University
- United States Department of Energy