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Heat capacity of the generalized two-atom and many-atom gas in nonextensive statistics

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  • Guo, Lina
  • Du, Jiulin

Abstract

We have used the generalized two-atom ideal gas model in Tsallis statistics for the statistical description of a real gas. By comparing the heat capacity with the experimental results for the two-atom molecule gases such as N2, O2 and CO, we find that these gases appear to be extensive at normal temperature, but they may be nonextensive at a lower temperature. Furthermore, we study the relation between the heat capacity and the degree of freedom. We find the limiting value of entropic index q as a function of the degree of freedom, q<2g+1, for the heat capacity to be finite. In addition, for the gas molecule with a high degree of freedom, a weak nonextensivity of 1−q<0 can lead to instability.

Suggested Citation

  • Guo, Lina & Du, Jiulin, 2009. "Heat capacity of the generalized two-atom and many-atom gas in nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(24), pages 4936-4942.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:24:p:4936-4942
    DOI: 10.1016/j.physa.2009.08.024
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