It is argued the the idea of a single temperature-like variable, introduced in [1], which enters a generalized second law for Markovian open system in non-equilibrium environment is not sufficient for a consistent and useful thermodynamic formalism. The origin of the Second Law and ``local temperatures'' in Markovian theory of Quantum Open Systems is revisited and illustrated by simple examples.
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Robert Alicki (2025) studied this question.
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