Doubly superstatistics with bivariate modified Dirac delta distribution

Abstract

In this paper we consider the doubly super statistics with bivariate modified Dirac delta distribution which has the same mean as the bivariate Dirac delta distribution but has non-vanishing covariances. We derive the doubly superstatistical Boltzmann factor and use it to compute the doubly superstatistical expectation values of energy and particle number. As an example we discuss the ideal gas model based on doubly superstatistics.