2002/09/13 by Alexander N. Gorban, Iliya V. Karlin, Hans Christian Öttinger +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Boltzmann constant #Boltzmann equation #Boltzmann's entropy formula #Computer science #Entropy (arrow of time) #Extension (predicate logic) #Generalization #Mathematical analysis #Mathematics #Opinion Dynamics and Social Influence #Parametric statistics #Physics #Statistical Mechanics and Entropy #Statistical physics #Statistics #Thermodynamics #Uncorrelated #cond-mat.stat-mech #math-ph #math.MP #physics.comp-ph #physics.data-an
paper · pdf · doi:10.1103/physreve.67.067104
published as Phys. Rev. E 67, 067104 (2003) · 10 pages, submitted to PRL
arxiv created 2002/09/13 · openalex publication_date 2003/06/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.