q-deformed superstatistics of the anharmonic oscillator for Dirac equation in noncommutative space

The superposition of different statistics defines the concept of superstatistics, which makes an equilibrium statistical mechanics incorporate fluctuations. Herein, we study the thermodynamical properties of the anharmonic oscillator for Dirac equation in commutative and noncommutative (NC) spaces using q-deformed superstatistics. By employing the biconfluent Heun functions, the energy spectrum and the wave functions of the considered system are expressed in explicit form. Moreover, the thermodynamical properties of the anharmonic oscillator ensemble in terms of the effective Boltzmann factor are derived, and in order to illustrate the results, some figures are plotted for the clarity of our results.