Landau diamagnetism in noncommutative space and the nonextensive thermodynamics of Tsallis

Ömer F. Dayi; Ahmed Jellal

doi:10.1016/S0375-9601(01)00505-9

Landau diamagnetism in noncommutative space and the nonextensive thermodynamics of Tsallis

Ömer F. Dayi^*
, Ahmed Jellal

^*Corresponding author for this work

Department of Physics Engineering

Bogazici University

Research output: Contribution to journal › Article › peer-review

50 Citations (Scopus)

Abstract

We consider the behavior of electrons in an external uniform magnetic field B→ where the space coordinates perpendicular B→ to 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.

Original language	English
Pages (from-to)	349-355
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	287
Issue number	5-6
DOIs	https://doi.org/10.1016/S0375-9601(01)00505-9
Publication status	Published - 3 Sept 2001

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abstract = "We consider the behavior of electrons in an external uniform magnetic field B→ where the space coordinates perpendicular B→ to 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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N2 - We consider the behavior of electrons in an external uniform magnetic field B→ where the space coordinates perpendicular B→ to 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.

AB - We consider the behavior of electrons in an external uniform magnetic field B→ where the space coordinates perpendicular B→ to 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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ER -

Landau diamagnetism in noncommutative space and the nonextensive thermodynamics of Tsallis

Abstract

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