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

DOI10.1063/1.4755952zbMath1278.82054OpenAlexW2018028099MaRDI QIDQ2872368

Jian-feng Lu, E. Weinan

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10161/14048

zbMATH Keywords

Cauchy-Born rule

Mathematics Subject Classification ID

Statistical mechanics of solids (82D20) Statistical mechanics of liquids (82D15) Statistical mechanics of magnetic materials (82D40)

Related Items (1)

Mathematical theory of solids: from quantum mechanics to continuum models

Cites Work

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• The electronic structure of smoothly deformed crystals: Wannier functions and the Cauchy-Born Rule
• Cauchy-Born rule and the stability of crystalline solids: Static problems
• Sufficient conditions for the validity of the Cauchy-Born rule close to \(\mathrm{SO}(n)\)
• The elastic continuum limit of the tight binding model
• Variational formulation of softening phenomena in fracture mechanics: The one-dimensional case
• From molecular models to continuum mechanics
• Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice
• Cauchy-Born rule and the stability of crystalline solids: dynamic problems
• Electronic structure of smoothly deformed crystals: Cauchy-born rule for the nonlinear tight-binding model

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