The mathematics of the ensemble theory

@article{Gao2022TheMO,
  title={The mathematics of the ensemble theory},
  author={Xiang Gao},
  journal={Results in Physics},
  year={2022}
}
  • Xiang Gao
  • Published 31 May 2020
  • Mathematics
  • Results in Physics

References

SHOWING 1-10 OF 24 REFERENCES
Elementary Principles in Statistical Mechanics (Yale
  • 1902
Wissenschaftliche Abhandlungen
Beyond Boltzmann–Gibbs–Shannon in Physics and Elsewhere
TLDR
The present review focuses on nonadditive entropies generalizing Boltzmann–Gibbs statistical mechanics and their predictions, verifications, and applications in physics and elsewhere.
Special issue overview Nonextensive statistical mechanics: new trends, new perspectives
I t is our pleasure to welcome Jean Pierre Boon and Constantino Tsallis as guests Editors for the present Special Issue of Europhysics News on “Nonextensive Statistical Mechanics”. They did a great
Foundations of statistical mechanics
Developments in the foundations of statistical mechanics during the past ten years or so. The author discusses how statistical concepts enter the treatment of deterministic mechanical systems, with
Generalized statistical mechanics : connection with thermodynamics
The authors show the manner through which the recent generalization by Tsallis (1988) of the Boltzmann-Gibbs statistics becomes consistent with a generalized thermodynamics preserving the
Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World
Basics or How the Theory Works.- Historical Background and Physical Motivations.- Learning with Boltzmann-Gibbs Statistical Mechanics.- Generalizing What We Learnt: Nonextensive Statistical
The Principles of Statistical Mechanics
A Field Guide to Recent Work on the Foundations of Statistical Mechanics.
This is an extensive review of recent work on the foundations of statistical mechanics. Subject matters discussed include: interpretation of probability, typicality, recurrence, reversibility,
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