99-243 H.D. Cornean

On the magnetisation of a charged Bose gas in the canonical ensemble (237K, Postscript) Jun 25, 99

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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.

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