A unified description of the thermostatistic properties of a class of Bose systems

The generalized statistic distribution derived from Tsallis' entropy is used to study the thermostatistic properties of a q-generalized Bose system trapped in a generic power-law potential. General expressions for some important parameters of the system such as the total number of particles, critical temperature that Bose-Einstein condensation occurs, internal energy, and heat capacity at constant volume are derived and the characteristics of Bose-Einstein condensation are discussed in detail. It is found that the thermostatistic properties depend closely on the nonextensivity parameter q, space dimensionality, kinematic characteristics of particles, shapes of external potentials and generalized thermal wavelength. Moreover, it is shown that the results obtained here can describe the thermostatistic properties of a class of Bose systems in a unified way so that many important conclusions in literature are included in this Letter.