Boltzmann's Dilemma: An Introduction to Statistical Mechanics via the Kac Ring

@article{Gottwald2009BoltzmannsDA,
  title={Boltzmann's Dilemma: An Introduction to Statistical Mechanics via the Kac Ring},
  author={G. Gottwald and M. Oliver},
  journal={SIAM Rev.},
  year={2009},
  volume={51},
  pages={613-635}
}
  • G. Gottwald, M. Oliver
  • Published 2009
  • Computer Science, Mathematics
  • SIAM Rev.
  • The process of coarse-graining—here, in particular, of passing from a deterministic, simple, and time-reversible dynamics at the microscale to a typically irreversible description in terms of averaged quantities at the macroscale—is of fundamental importance in science and engineering. At the same time, it is often difficult to grasp and, if not interpreted correctly, implies seemingly paradoxical results. The kinetic theory of gases, historically the first and arguably most significant example… CONTINUE READING

    Figures and Topics from this paper.

    Information theory and maximum entropy principles in non-equilibrium statistical physics
    Lack of Molecular Chaos and Role of Stochasticity in KAC's Ring Model
    • 1
    • Highly Influenced
    Kinetic Theory beyond the Stosszahlansatz
    • 3
    • PDF
    Kac’s ring: The case of four colours

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 30 REFERENCES
    Chaos and threshold for irreversibility in sheared suspensions
    • 202
    • PDF
    Fluid dynamics: Drat such custard!
    • 3
    Loschmidt's and Zermelo's paradoxes do not exist
    • 7
    New perspectives on Kac ring models
    • 7
    Order out of Chaos: Man's New Dialogue with Nature
    • 1,272
    How many shuffles to randomize a deck of cards?
    • 33
    • PDF
    SHUFFLING CARDS AND STOPPING-TIMES
    • 395
    • PDF