%0 Journal Article %T Generalized entropies from first principles %A M. P. Almeida %J Physics %D 2001 %I arXiv %R 10.1016/S0378-4371(01)00353-3 %X We present a derivation of power law canonical distributions from first principle statistical mechanics, including the exponential distribution as a It is presented a derivation of power law canonical distributions from first principle statistical mechanics, including the exponential distribution as a particular case. It is shown that these distributions arise naturally, and that the heat capacity of the heat bath is the condition that determines its type. As a consequence, it is given a physical interpretation for the parameter $q$ of the generalized entropy. %U http://arxiv.org/abs/cond-mat/0102112v2