Abstract
In Chapter 3 we have shown that invertible systems have absolutely constant entropy, namely H c (P t f | f *) = H c (f | f *) for all times t (Theorem 3.2), while for noninvertible systems the entropy may increase (Theorem 3.1) since H c (P t f | f *) ≥ H c (f | f *). Thus, noninvertibility is absolutely necessary (though not necessarily sufficient) for the entropy of any system to increase from its initial value.
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© 1992 Springer Science+Business Media New York
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Mackey, M.C. (1992). Global Evolution of Entropy. In: Time’s Arrow: The Origins of Thermodynamic Behavior. Springer Study Edition. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9524-9_7
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DOI: https://doi.org/10.1007/978-1-4613-9524-9_7
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