Thermodynamic geometry of deformed bosons and fermions

Behrouz Mirza, Hosein Mohammadzadeh
2011 Journal of Physics A: Mathematical and Theoretical  
We construct the thermodynamic geometry of an ideal q-deformed boson and fermion gas. We investigate some thermodynamic properties such as the stability and statistical interaction. It will be shown that the statistical interaction of q-deformed boson gas is attractive, while it is repulsive for the q-deformed fermion one. Also, we will consider the singular point of the thermodynamic curvature to obtain some new results about the condensation of q-deformed bosons and show that there exist a
more » ... at there exist a finite critical phase transition temperature even in low dimensions. It is shown that the thermodynamic curvature of q-deformed boson and fermion quantum gases diverges as a power-law function with respect to temperature at zero temperature limit.
doi:10.1088/1751-8113/44/47/475003 fatcat:ozeopu4vmjfrhkvztn5f2yrvve