The Coulomb gas at low temperature and low density

DOI10.1007/BF01217775zbMath0682.76066OpenAlexW2060353478MaRDI QIDQ1824491

Elliott H. Lieb, Joseph G. Conlon, Horng-Tzer Yau

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01217775

zbMATH Keywords

perfect rare gas of charged particlesquantum Coulomb gas

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (13)

Coulomb and Riesz gases: The known and the unknown ⋮ On the molecular limit of Coulomb gases ⋮ Mayer and virial series at low temperature ⋮ Next-order asymptotic expansion for \(N\)-marginal optimal transport with Coulomb and Riesz costs ⋮ Ionization equilibrium in the electron-proton gas. ⋮ Atomic versus ionized states in many-particle systems and the spectra of reduced density matrices: A model study ⋮ Exact results for thermodynamics of the hydrogen plasma: low-temperature expansions beyond Saha theory ⋮ The thermodynamic limit of quantum Coulomb systems. I: General theory ⋮ The thermodynamic limit of quantum Coulomb systems. II: Applications ⋮ Large deviations for cluster size distributions in a continuous classical many-body system ⋮ Hydrodynamical limit for a Hamiltonian system with weak noise ⋮ Quantum Coulomb systems: some exact results in the atomic limit ⋮ Existence of the thermodynamic limit for disordered quantum Coulomb systems

Cites Work

• The atomic and molecular nature of matter
• The constitution of matter: existence of thermodynamics for systems composed of electrons and nuclei.
• Stability of Matter. I
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