Mohammadzadeh Hosein, Adli Fereshteh, Nouri Sahereh
Department of Physics, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran.
Phys Rev E. 2016 Dec;94(6-1):062118. doi: 10.1103/PhysRevE.94.062118. Epub 2016 Dec 14.
We investigate perturbative thermodynamic geometry of nonextensive ideal classical, Bose, and Fermi gases. We show that the intrinsic statistical interaction of nonextensive Bose (Fermi) gas is attractive (repulsive) similar to the extensive case but the value of thermodynamic curvature is changed by a nonextensive parameter. In contrary to the extensive ideal classical gas, the nonextensive one may be divided to two different regimes. According to the deviation parameter of the system to the nonextensive case, one can find a special value of fugacity, z^{}, where the sign of thermodynamic curvature is changed. Therefore, we argue that the nonextensive parameter induces an attractive (repulsive) statistical interaction for z<z^{*} (z>z^{}) for an ideal classical gas. Also, according to the singular point of thermodynamic curvature, we consider the condensation of nonextensive Boson gas.
我们研究了非广延理想经典气体、玻色气体和费米气体的微扰热力学几何。我们表明，非广延玻色（费米）气体的内禀统计相互作用与广延情形类似，是吸引（排斥）的，但热力学曲率的值会因非广延参数而改变。与广延理想经典气体不同，非广延理想经典气体可分为两种不同的区域。根据系统偏离非广延情形的参数，可以找到逸度的一个特殊值(z^{})，在该值处热力学曲率的符号会发生改变。因此，我们认为对于理想经典气体，非广延参数在(z < z^{*})（(z > z^{})）时会诱导出吸引（排斥）的统计相互作用。此外，根据热力学曲率的奇点，我们考虑了非广延玻色气体的凝聚。
