Nonconvexity of the relative entropy for Markov dynamics: A Fisher information approach
نویسندگان
چکیده
منابع مشابه
Nonconvexity of the relative entropy for Markov dynamics: a Fisher information approach.
We show via counterexamples that relative entropy between the solution of a Markovian master equation and the steady state is not a convex function of time. We thus disprove the hypotheses that a general evolution principle of thermodynamics based on the decrease of the nonadiabatic entropy production could hold. However, we argue that a large separation of typical decay times is necessary for ...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2013
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.88.012112