Beyond Gibbs-Boltzmann-Shannon: General Entropies -- The Gibbs-Lorentzian Example

Beyond Gibbs-Boltzmann-Shannon: General Entropies -- The Gibbs-Lorentzian Example

We propose a generalisation of Gibbs' statistical mechanics into the domain of non-negligible phase space correlations. Derived are the probability distribution and entropy as a generalised ensemble average, replacing Gibbs-Boltzmann-Shannon's entropy definition enabling construction of...

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Bibliographic Details
Main Authors: Rudolf A. Treumann, Wolfgang eBaumjohann
Format: Article
Language:English
Published: Frontiers Media S.A. 2014-08-01
Series:Frontiers in Physics
Subjects:
Information Theory
entropy
Statistical Mechanics
maximum entropy
Generalised Lorentzian distributions
Online Access:http://journal.frontiersin.org/Journal/10.3389/fphy.2014.00049/full

Internet

http://journal.frontiersin.org/Journal/10.3389/fphy.2014.00049/full

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