Time Evolution in Macroscopic Systems. II. The Entropy

@article{Grandy2003TimeEI,
  title={Time Evolution in Macroscopic Systems. II. The Entropy},
  author={Walter T. Jr Grandy},
  journal={Foundations of Physics},
  year={2003},
  volume={34},
  pages={21-57}
}
  • W. T. Grandy
  • Published 15 March 2003
  • Physics
  • Foundations of Physics
The concept of entropy in nonequilibrium macroscopic systems is investigated in the light of an extended equation of motion for the density matrix obtained in a previous study. It is found that a time-dependent information entropy can be defined unambiguously, but it is the time derivative or entropy production that governs ongoing processes in these systems. The differences in physical interpretation and thermodynamic role of entropy in equilibrium and nonequilibrium systems is emphasized and… 
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Time evolution of macroscopic systems is re-examined primarily through further analysis and extension of the equation of motion for the density matrix ρ(t). Because ρ contains both classical and
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The results of two recent articles expanding the Gibbs variational principle to encompass all of statistical mechanics, in which the role of external sources is made explicit, are utilized to further
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