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The Effect of Space Dimensions on a Generalized Hydrogen-Atom Specific Heat in the Generalized Boltzmann-Gibbs Statistics

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Abstract

In this article, the effect of the space dimensions on the generalized hydrogen-atom specific heat in the generalized Boltzmann-Gibbs statistics is studied. The temperature dependence of the specific heat for a few different values of q and for different low space dimensions using Tsallis statistics is numerically calculated. The results indicate that for a fixed value of q, as the space dimension increases the temperature range where the specific heat has a nonzero value, decreases, while the general behavior of the specific heat does not show any change. Also, there exits a q-independent quantity related to two specific temperatures of the system which is almost linearly dependent on the space dimensions.

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Authors and Affiliations

  1. Department of Physics, College of Science, Shiraz University, Shiraz, 71454, Iran

    M. Barati & N. Moradi

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  1. M. Barati
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  2. N. Moradi
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Correspondence to M. Barati.

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Barati, M., Moradi, N. The Effect of Space Dimensions on a Generalized Hydrogen-Atom Specific Heat in the Generalized Boltzmann-Gibbs Statistics. Int J Theor Phys 47, 1954–1965 (2008). https://doi.org/10.1007/s10773-007-9639-0

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  • DOI: https://doi.org/10.1007/s10773-007-9639-0

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