Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model
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2012-11-27
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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.
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Weinan, E, and J Lu (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 https://hdl.handle.net/10161/14048.
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Jianfeng Lu
Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm development for problems from computational physics, theoretical chemistry, materials science, machine learning, and other related fields.
More specifically, his current research focuses include:
High dimensional PDEs; generative models and sampling methods; control and reinforcement learning; electronic structure and many body problems; quantum molecular dynamics; multiscale modeling and analysis.
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