The additive generalization of the Boltzmann entropy

Details The additive generalization of the Boltzmann entropy The additive generalization of the Boltzmann entropy

2002-09-13

arxiv.org/abs/cond-mat/0209319v1

Phys. Rev. E 67, 067104 (2003)

Physics

Condensed Matter

Statistical Mechanics

10 pages, submitted to PRL

Scientific paper

10.1103/PhysRevE.67.067104

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.

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