
Jensen's Inequality (JIEQ) has proved to be a major tool to prove the consistency of various fluctuation theorems with the second law in microscopic thermodynamics. We show that the situation is far from clear and the reliance on the JIE may be quite misleading in general.
5 pages; corrections to references in this version
Statistical Mechanics (cond-mat.stat-mech), Classical and relativistic thermodynamics, Foundations of thermodynamics and heat transfer, Jensen inequality, second law, FOS: Physical sciences, trajectory probability, entropy, fluctuation theorems, microstates and macrostates, Condensed Matter - Statistical Mechanics
Statistical Mechanics (cond-mat.stat-mech), Classical and relativistic thermodynamics, Foundations of thermodynamics and heat transfer, Jensen inequality, second law, FOS: Physical sciences, trajectory probability, entropy, fluctuation theorems, microstates and macrostates, Condensed Matter - Statistical Mechanics
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