title: Additive generalization of the Boltzmann entropy.
abstract: There exists a unique extension of the classical Boltzmann entropy functional to a one-parametric family of additive trace-form entropy functionals. We find the analytical solution to the corresponding deformation of the classical ensembles, and present an example of the deformation of the uncorrelated state caused by finiteness of the number of particles.
authors.affiliation: ETH Zürich, Department of Materials, Institute of Polymers, ETH-Zentrum, CH-8092 Zürich, Switzerland. gorban@icm.krasn.ru
authors.forename: Alexander N
authors.initials: AN
authors.lastname: Gorban
authors.forename: Iliya V
authors.initials: IV
authors.lastname: Karlin
authors.forename: Hans Christian
authors.initials: HC
authors.lastname: Ottinger