The second law of thermodynamics as a deterministic theorem for quantum spin systems

  title={The second law of thermodynamics as a deterministic theorem for quantum spin systems},
  author={Walter F. Wreszinski},
  journal={Reviews in Mathematical Physics},
  • W. Wreszinski
  • Published 2 December 2021
  • Mathematics
  • Reviews in Mathematical Physics
We review our approach to the second law of thermodynamics as a theorem assering the growth of the mean (Gibbs-von Neumann) entropy of a class of quantum spin systems undergoing automorphic (unitary) adiabatic transformations. Non-automorphic interactions with the environment, although known to produce on the average a strict reduction of the entropy of systems with finite number of degrees of freedom, are proved to conserve the mean entropy on the average. The results depend crucially on two… 

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