Abstract:
Consider a charged Bose gas without self-interactions, confined in a three dimensional cubic box of side L≥ 1 and subjected to a constant magnetic field B≠ 0. If the bulk density of particles ρ 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 ρ, 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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Received: 15 July 1999 / Accepted: 29 November 1999
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Cornean, H. On the Magnetization of a Charged Bose Gas¶in the Canonical Ensemble. Comm Math Phys 212, 1–27 (2000). https://doi.org/10.1007/s002200000198
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DOI: https://doi.org/10.1007/s002200000198