On the molecular limit of Coulomb gases

DOI10.1007/BF02099471zbMath0837.58048MaRDI QIDQ1903342

Daniel Schenker, Gian Michele Graf

Publication date: 29 November 1995

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

zbMATH Keywords

Coulomb gasesmolecular limit

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Statistical mechanics of gases (82D05)

Related Items (12)

Coulomb and Riesz gases: The known and the unknown ⋮ The independence on boundary conditions for the thermodynamic limit of charged systems ⋮ Statistical mechanics of the uniform electron gas ⋮ Next-order asymptotic expansion for \(N\)-marginal optimal transport with Coulomb and Riesz costs ⋮ The validity of the local density approximation for smooth short range interaction potentials ⋮ Higher-Dimensional Coulomb Gases and Renormalized Energy Functionals ⋮ The local density approximation in density functional theory ⋮ Floating Wigner crystal and periodic jellium configurations ⋮ The thermodynamic limit of quantum Coulomb systems. I: General theory ⋮ The thermodynamic limit of quantum Coulomb systems. II: Applications ⋮ A proof of Scott's correction for matter ⋮ Existence of the thermodynamic limit for disordered quantum Coulomb systems

Cites Work

• The atomic and molecular nature of matter
• Thermodynamics for Coulomb systems: A problem at vanishing particle densities
• The constitution of matter: existence of thermodynamics for systems composed of electrons and nuclei.
• The Coulomb gas at low temperature and low density
• Ionization equilibrium in the electron-proton gas.

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