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

Raphael Ducatez (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

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.

Domaines: Théorie spectrale [math.SP]; Physique mathématique [math-ph]; Mécanique statistique [cond-mat.stat-mech]; Electrons fortement corrélés [cond-mat.str-el]

Raphael Ducatez. Analysis of the one dimensional inhomogeneous Jellium model with the Birkhoff-Hopf Theorem. 2018. ⟨hal-01818692⟩