Energy of the Coulomb Gas on the Sphere at Low Temperature

We consider the Coulomb gas of N particles on the sphere and show that the logarithmic energy of the configurations approaches the minimal energy up to an error of order log N, with exponentially high probability and on average, provided the temperature is O ( 1 / N ) .

Bibliographische Detailangaben

Veröffentlicht in:	Archive for rational mechanics and analysis 2019-03, Vol.231 (3), p.2007-2017
Hauptverfasser:	Beltrán, Carlos, Hardy, Adrien
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical Analysis and ODEs Classical Mechanics Complex Systems Fluid- and Aerodynamics Low temperature Mathematical and Computational Physics Mathematical Physics Mathematics Physics Physics and Astronomy Probability Theoretical
Online-Zugang:	Volltext
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