Nonextensive Thermostatistical Investigation of The Blackbody Radiation

Thermodynamical quantities of the blackbody radiation, such as free energy, entropy, total radiation energy, specific heat are calculated within the Tsallis thermostatistics where factorization method is incorparated. It is shown that basic thermodynamical relation of the blackbody radiation is form invariant with respect to nonextensivity entropic index q. Furthermore, the nonextensive thermodynamical quantities related to the blackbody radiation is seperately be obtained in terms of q and the standard thermodynamical quantities of the blackbody radiation .It is indicated that the formulation may give a way to determine the q which determines the degree of the nonextensivity that is the one of the aims of the present study.Comment: 16 pages,No figures,to be appear in Chaos,Solitons&Fractal

Thermodynamic Consistency of the qq-Deformed Fermi-Dirac Distribution in Nonextensive Thermostatics

The $q$-deformed statistics for fermions arising within the non-extensive thermostatistical formalism has been applied to the study of various quantum many-body systems recently. The aim of the present note is to point out some subtle difficulties presented by this approach in connection with the problem of thermodynamic consistency. Different possible ways to apply the $q$-deformed quantum distributions in a thermodynamically consistent way are considered.Comment: 4 pages, 1 figur

On the Cut-Off Prescriptions Associated with Power-Law Generalized Thermostatistics

We revisit the cut-off prescriptions which are needed in order to specify completely the form of Tsallis' maximum entropy distributions. For values of the Tsallis entropic parameter $q>1$ we advance an alternative cut-off prescription and discuss some of its basic mathematical properties. As an illustration of the new cut-off prescription we consider in some detail the $q$-generalized quantum distributions which have recently been shown to reproduce various experimental results related to high $T_c$ superconductors