Statistical mechanics of the uniform electron gas
Copyright policy )Statistical mechanics of the uniform electron gas
In this paper we define and study the classical Uniform Electron Gas (UEG), a system of infinitely many electrons whose density is constant everywhere in space. The UEG is defined differently from Jellium, which has a positive constant background but no constraint on the density. We prove that the UEG arises in Density Functional Theory in the limit of a slowly varying density, minimizing the indirect Coulomb energy. We also construct the quantum UEG and compare it to the classical UEG at low density.
- French National Centre for Scientific Research France
- Sciences Po France
- Institute of Science and Technology Austria Austria
- Centre De Recherche en Mathématiques de la Décision France
- College of New Jersey United States
FOS: Physical sciences, transport optimal, 510, limite thermodynamique, astrophysique), Physics - Chemical Physics, Many-body theory; quantum Hall effect, Optimality conditions for problems involving relations other than differential equations, density functional theory, Mathematical Physics, Condensed Matter - Statistical Mechanics, Chemical Physics (physics.chem-ph), limites de champ moyen, thermodynamic limit, Statistical Mechanics (cond-mat.stat-mech), Gaz uniforme d’électrons, Transport processes in time-dependent statistical mechanics, Foundations of equilibrium statistical mechanics, Mathematical Physics (math-ph), [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], mean-field limit, 520, Statistical mechanics of gases, théorie de la fonctionnelle de la densité, optimal transport, mécanique statistique, Sciences connexes (physique, uniform electron gas, statistical mechanics
FOS: Physical sciences, transport optimal, 510, limite thermodynamique, astrophysique), Physics - Chemical Physics, Many-body theory; quantum Hall effect, Optimality conditions for problems involving relations other than differential equations, density functional theory, Mathematical Physics, Condensed Matter - Statistical Mechanics, Chemical Physics (physics.chem-ph), limites de champ moyen, thermodynamic limit, Statistical Mechanics (cond-mat.stat-mech), Gaz uniforme d’électrons, Transport processes in time-dependent statistical mechanics, Foundations of equilibrium statistical mechanics, Mathematical Physics (math-ph), [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], mean-field limit, 520, Statistical mechanics of gases, théorie de la fonctionnelle de la densité, optimal transport, mécanique statistique, Sciences connexes (physique, uniform electron gas, statistical mechanics
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