Existence of the thermodynamic limit for disordered quantum Coulomb systems

Xavier Blanc (1) , Mathieu Lewin (2)

1 DAM - Direction des Applications Militaires
2 AGM - UMR 8088 - Analyse, Géométrie et Modélisation

Following a recent method introduced by C. Hainzl, J.P. Solovej and the second author of this article, we prove the existence of the thermodynamic limit for a system made of quantum electrons, and classical nuclei whose positions and charges are randomly perturbed in an ergodic fashion. All the particles interact through Coulomb forces.

Mots clés: thermodynamic limit; Coulomb systems; disordered quantum crystals

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Equations aux dérivées partielles [math.AP]

Xavier Blanc, Mathieu Lewin. Existence of the thermodynamic limit for disordered quantum Coulomb systems. Journal of Mathematical Physics, 2012, 53, pp.095209. ⟨10.1063/1.4729052⟩. ⟨hal-00662052v3⟩