Thermodynamical and Informational Structure of Superstatistics

A generating function in statistical mechanics (i.e., the Laplace transform of a density of states) suggests that the superstatistics proposed by Beck and Cohen can be viewed as a counterpart of the canonical partition function since inverse temperature β and energy E appear symmetrically in the Gibbsian factor. Some formal properties of the superstatistics are presented in connection with thermodynamic relations and information aspects.