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

@article{Wreszinski2022TheSL, title={The second law of thermodynamics as a deterministic theorem for quantum spin systems}, author={Walter F. Wreszinski}, journal={Reviews in Mathematical Physics}, year={2022} }

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…

## One Citation

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