Bergthór Hauksson, Jakob Yngvason
Asymptotic Exactness of Magnetic Thomas-Fermi Theory at Nonzero Temperature
Preprint series: ESI preprints

MSC:

81V70 Many-body theory

82B10 Quantum equilibrium statistical mechanics (general)

82B23 Exactly solvable models

Abstract: We consider the grand canonical pressure
for Coulombic matter with nuclear charges $\sim Z$ in a magnetic
field $B$ and at nonzero temperature.
We prove that its asymptotic limit as $Z\to\infty$ with
$B/Z^3\to 0$ can be obtained by minimizing a Thomas-Fermi type pressure
functional.