Analysis of the one dimensional inhomogeneous Jellium model with the Birkhoff-Hopf Theorem

Abstract

We use the Hilbert distance on cones and the Birkhoff-Hopf Theorem to prove decay of correlation, analyticity of the free energy and a central limit theorem in the one dimensional Jellium model with non constant density charge background, both in the classical and quantum cases.

References in corpus (2)

• Statistical Mechanics of the Uniform Electron Gas
• Vitesse de convergence dans le théorème limite central pour des chaînes de Markov fortement ergodiques

Cited by in corpus (1)

• Coulomb and Riesz gases: The known and the unknown