Explanation of the Gibbs paradox within the framework of quantum thermodynamics.

  title={Explanation of the Gibbs paradox within the framework of quantum thermodynamics.},
  author={Armen E. Allahverdyan and Th M Nieuwenhuizen},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={73 6 Pt 2},
The issue of the Gibbs paradox is that when considering mixing of two gases within classical thermodynamics, the entropy of mixing appears to be a discontinuous function of the difference between the gases: it is finite for whatever small difference, but vanishes for identical gases. The resolution offered in the literature, with help of quantum mixing entropy, was later shown to be unsatisfactory precisely where it sought to resolve the paradox. Macroscopic thermodynamics, classical or quantum… CONTINUE READING

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