Asymptotic Exactness of Magnetic Thomas-Fermi Theory

Details Asymptotic Exactness of Magnetic Thomas-Fermi Theory Asymptotic Exactness of Magnetic Thomas-Fermi Theory

2003-08-24

arxiv.org/abs/math-ph/0308028v1

Physics

Mathematical Physics

Scientific paper

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.

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