H.D. Cornean
On the magnetisation of a charged Bose gas in the canonical ensemble
(237K, Postscript)
ABSTRACT. Consider a charged Bose gas without self-interactions, confined in a
three dimensional cube of side lenght $L\geq 1$, submitted to a
constant magnetic field $B\neq 0$ and in canonical conditions
(the bulk density of particle $\rho$ and the temperature $T$ are
fixed). If the canonical magnetisation is defined as the partial
derivative after $B$ of the reduced free energy, it is proven that it
admits thermodynamical limit for all strictly positive $\rho$, $T$ and
$B$. It is also proven that the canonical magnetisation and the grand
canonical magnetisation (written in canonical conditions) are equal up
to the surface order corrections.