On the Magnetization of a Charged Bose Gas in the Canonical Ensemble

Details On the Magnetization of a Charged Bose Gas in the Canonical Ensemble On the Magnetization of a Charged Bose Gas in the Canonical Ensemble

2006-05-04

arxiv.org/abs/math-ph/0605012v1

Physics

Mathematical Physics

Appeared in Communications in Mathematical Physics

Scientific paper

Consider a charged Bose gas without self-interactions, confined in a three dimensional cubic box of side $L\geq 1$ and subjected to a constant magnetic field $B\neq 0$. If the bulk density of particles $\rho$ and the temperature $T$ are fixed, then define the canonical magnetization as the partial derivative with respect to $B$ of the reduced free energy. Our main result is that it admits thermodynamic limit for all strictly positive $\rho$, $T$ and $B$. It is also proven that the canonical and grand canonical magnetizations (the last one at fixed average density) are equal up to the surface order corrections.

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