The additive generalization of the Boltzmann entropy

Abstract

There exists only one generalization of the classical Boltzmann-Gibbs-Shannon entropy functional to a one-parametric family of additive entropy functionals. We find analytical solution to the corresponding extension of the classical ensembles, and discuss in some detail the example of the deformation of the uncorrelated state.

10 pages, submitted to PRL

References in corpus (3)

• Statistical mechanics in the context of special relativity
• Role of the H theorem in lattice Boltzmann hydrodynamic simulations
• Family of additive entropy functions out of thermodynamic limit

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