q-generalized Bose-Einstein condensation based on Tsallis entropy

The thermodynamic properties of a q-generalized ideal boson system with the general energy spectrum epsilon = ap(s) in a D-dimensional space are investigated, based on the q-generalized statistical distributive function derived by Tsallis entropy. Several important parameters of the system such as the critical temperature that Bose-Einstein condensation (BEC) occurs, the specific heat at constant volume, etc. are derived analytically. It is found that the conditions that BEC may occur and the continuity of the specific heat at critical temperature are the same as those of an ordinary boson system. However, the thermodynamic properties of a q-generalized ideal boson system are closely depend on q and D/s and consequently there are some novel results. (C) 2002 Elsevier Science B.V. All rights reserved.