Asymptotic Exactness of Magnetic Thomas-Fermi Theory
classification
🧮 math-ph
math.MP
keywords
asymptoticmagneticpressurethomas-fermicanonicalchargesconsidercoulombic
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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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