Bose-Einstein condensation in the framework of κ-statistics

In the present work we study the main physical properties of a gas of kappa-deformed bosons described through the statistical distribution function f(kappa) = Z(-1)[exp(\kappa\)(beta(1/2mnu(2) - mu)) - 1](-1). The deformed kappa-exponential exp\kappa\(x), recently proposed in Kaniadakis (Physical 296 (2001) 405), reduces to the standard exponential as the deformation parameter kappa--> 0, so that f(0) reproduces the Bose-Einstein distribution. The condensation temperature T-c(kappa) of this gas decreases with increasing kappa value, and approaches the He-4(I)-He-4(II) transition temperature T-kappa = 2.17 K, improving the result obtained in the standard case (kappa = 0). The heat capacity C-V(kappa)(T) is a continuous function and behaves as BkappaT3/2 for T < T-c(kappa), while for T > T-c(kappa), in contrast with the standard case kappa = 0, it is always increasing. (C) 2002 Elsevier Science B.V. All rights reserved.