ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002200000198
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