  We provide an overview of Tsallis statistics, presented as a special case of
superstatistics and applied to the multiparticle processes described by the
statistical cluster model. This model combines Boltzman statistics applied to
hadronization of clusters and superstatistics induced by fluctuations of their
Lorentz factors. It results in a Tsallis-like distribution of transverse
momenta with some scale, the origin of which is discussed. We show that this
distribution becomes a Tsallis distribution in a special case, namely when one
combines fluctuations of the Lorentz factor and temperature inside the cluster,
given by beta and gamma distributions, respectively.
