×

zbMATH — the first resource for mathematics

The heterogeneous gas with singular interaction: generalized circular law and heterogeneous renormalized energy. (English) Zbl 1311.82044
The authors introduce and analyze \(d-\)dimensional Coulomb gases with random charge distribution and general external confining potential. It is demonstrated that heterogeneous gases show substantially different phenomenology compared to homogeneous gases.

MSC:
82D05 Statistical mechanical studies of gases
60F10 Large deviations
78A30 Electro- and magnetostatics
82B44 Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics
PDF BibTeX XML Cite
Full Text: DOI arXiv