The physics and mathematics of the second law of thermodynamics

@article{Lieb1999ThePA,
  title={The physics and mathematics of the second law of thermodynamics},
  author={E. Lieb and J. Yngvason},
  journal={Physics Reports},
  year={1999},
  volume={310},
  pages={1-96}
}
The essential postulates of classical thermodynamics are formulated, from which the second law is deduced as the principle of increase of entropy in irreversible adiabatic processes that take one equilibrium state to another. The entropy constructed here is defined only for equilibrium states and no attempt is made to define it otherwise. Statistical mechanics does not enter these considerations. One of the main concepts that makes everything work is the comparison principle (which, in essence… Expand

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