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Landau Diamagnetism in Noncommutative Space and the Nonextensive Thermodynamics of Tsallis

O. F. Dayi·A. Jellal
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Abstract

We consider the behavior of electrons in an external uniform magnetic field B where the space coordinates perpendicular to B are taken as noncommuting. This results in a generalization of standard thermodynamics. Calculating the susceptibility, we find that the usual Landau diamagnetism is modified. We also compute the susceptibility according to the nonextensive statistics of Tsallis for (1-q)<<1, in terms of the factorization approach. Two methods agree under certain conditions.

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O. F. Dayi, A. Jellal. 2001-07-19. Landau Diamagnetism in Noncommutative Space and the Nonextensive Thermodynamics of Tsallis. https://doi.org/10.1016/s0375-9601(01)00505-9

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