Probability, ergodicity, irreversibility and dynamical systems

  title={Probability, ergodicity, irreversibility and dynamical systems},
  author={Umberto Lucia},
  journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  pages={1089 - 1104}
  • U. Lucia
  • Published 8 May 2008
  • Physics
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
The problem of irreversibility is difficult and part of this difficulty is due to dealing with the statistical mechanics of a large number of particles. The ergodic theory, founded on the link between thermodynamics and its statistical probability, introduced the ergodic theorem that consists of the equality of microcanonical phase average and the time average of the observables. Moreover, a global approach has been introduced, starting from non-equilibrium thermodynamics and obtaining a… 
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