  Realistic phenomena can be described more appropriately using generalized
canonical ensemble, with proper parameter sets involved. We have generalized
the Einstein's theory for specific heat of solid in Tsallis statistics, where
the temperature fluctuation is introduced into the theory via the fluctuation
parameter $q$. At low temperature the Einstein's curve of the specific heat in
the nonextensive Tsallis scenario exactly lies on the experimental data points.
Consequently this $q$-modified Einstein's curve is found to be overlapping with
the one predicted by Debye. Considering only the temperature fluctuation
effect(even without considering more than one mode of vibration is being
triggered) we found that the $C_V$ vs $T$ curve is as good as obtained by
considering the different modes of vibration as suggested by Debye.
Generalizing the Einstein's theory in Tsallis statistics we found that a unique
value of the Einstein temperature $\theta_E$ along with a temperature dependent
deformation parameter $q(T)$, can well describe the phenomena of specific heat
of solid i.e. the theory is equivalent to Debye's theory with a temperature
dependent $\theta_D$.
