Thermodynamic geometry of Kaniadakis statistics

被引:11
|
作者
Mehri-Dehnavi, Hossein [1 ]
Mohammadzadeh, Hosein [2 ]
机构
[1] Babol Noshirvani Univ Technol, Dept Phys, Fac Basic Sci, Shariati Ave, Babol 4714871167, Iran
[2] Univ Mohaghegh Ardabili, Dept Phys, POB 179, Ardebil, Iran
关键词
thermodynamic geometry; phase transition; generalized statistics; RIEMANNIAN GEOMETRY; INFORMATION GEOMETRY; ENTROPY; CURVATURE;
D O I
10.1088/1751-8121/aba98a
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider the thermodynamic geometry of an ideal gas with particles obeying Kaniadakis statistics. We work out the thermodynamic curvature of kappa-Maxwell-Boltzmann,kappa-Bose and kappa-Fermi gases. Curvature of thermodynamic parameters space of an ideal ordinary classical gas is zero while it is negative for kappa-classical gas. Also, the thermodynamic curvature of an ideal kappa-Fermi gas is negative such as ordinary fermion gas. For an ideal kappa-Bose gas, two different regimes is found. In fact, we introduce a specified value of temperature;T*, where forT>T* (T<T*) the thermodynamic curvature is negative (positive) and intrinsic statistical interaction is repulsive (attractive) while for an ordinary ideal boson gas, the thermodynamic curvature is positive and the statistical interaction is attractive in full physical range. Therefore, we argue that the kappa induces repulsive interaction to particles. Finally, we consider the singular points of thermodynamic curvature of kappa-Bose gas and work out the condensation temperature.
引用
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页数:16
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