Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model | Zendy

E Weinan | Zendy; Jianfeng Lu | Zendy

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Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model

Author(s) -

E Weinan,

Jianfeng Lu

Publication year - 2012

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.4755952

Subject(s) - physics , condensed matter physics , spin (aerodynamics) , limit (mathematics) , dirac (video compression format) , dirac equation , quantum mechanics , landau quantization , magnetic field , quantum electrodynamics , mathematics , mathematical analysis , neutrino , thermodynamics

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

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