Entropy, nonequilibrium, chaos and infinitesimals

@article{Gallavotti2008EntropyNC,
  title={Entropy, nonequilibrium, chaos and infinitesimals},
  author={G. Gallavotti},
  journal={arXiv: Statistical Mechanics},
  year={2008},
  pages={39-60}
}
A survey of the approach to Statistical Mechanics following Boltzmann's theory of ensembles and ergodic hypothesis leading to chaoticity as a unifying principle of equilibrium and nonequilibrium Statistical Mechanics. 
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References

SHOWING 1-5 OF 5 REFERENCES
Statistical Mechanics: A Short Treatise
1. Classical Statistical Mechanics.- 2. Statistical Ensembles.- 3. Equipartition and Critique.- 4. Thermodynamic Limit and Stability.- 5. Phase Transitions.- 6. Coexistence of Phases.- 7. ExactlyExpand
Aspects of Ergodic, Qualitative and Statistical Theory of Motion
1 General Qualitative Properties.- 2 Ergodicity and Ergodic Points.- 3 Entropy and Complexity.- 4 Markovian Pavements.- 5 Gibbs Distributions.- 6 General Properties of Gibbs and SRB Distributions.- 7Expand