Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model
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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.
Published Version (Please cite this version)10.1063/1.4755952
Publication InfoLu, Jianfeng; & Weinan, E (2012). Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model. Journal of Mathematical Physics, 53(11). 10.1063/1.4755952. Retrieved from http://hdl.handle.net/10161/14048.
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Associate Professor of Mathematics
Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm development for problems from computational physics, theoretical chemistry, materials science and other related fields.More specifically, his current research focuses include:Electronic structure and many body problems; quantum molecular dynamics; multiscale modeling and analysis; rare events and sampling techniques.