Nonextensive thermostatistical investigation of free electronic gas in metal

The relevant aspects of the q-thermostatistical treatment for the free electronic gas which is an ideal Fermi system are discussed.Thermodynamical quantities of the free electronic gas such as total number of particles,total energy,heat capacity,free energy,etc.,are calculated within the Tsallis thermo-statistics where the factorization approach is incorporated,and the ensuing statistics is derived.Special attention is paid to heat capacity.The limiting cases of interest are discussed in some detail,namely,low-temperature regimes,and the approximate results pertaining to the case q→1 (the conventional Fermi-Dirac statistics corresponds to q=1).We also compare our results with previous Tsallis' works.