Some remarks on non-extensive specific heat properties

The aim of this Letter is to describe some relevant properties of specific heat derived from non-extensive statistics approach. It is shown that in the high- and low-temperature limits, the non-extensive specific heat displays the Dulong-Petit classical value 3R and a T3-dependence, respectively. The latter property implies, that in a strict sense, the non-extensive statistics approach can be unable to explain anomalous low-temperature behavior.