Is the Clausius inequality a consequence of the second law?

Abstract

We present an analysis of the foundations of the well known Clausius inequality. It is shown that, in general, the inequality is not a logical consequence of the Kelvin-Planck formulation of the second law of thermodynamics. Some thought experiments demonstrating the violation of the Clausius inequality are considered. The possibility of experimental detection of the violation is pointed out.

14 pages, 5 figures

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• Information heat engine: converting information to energy by feedback control
• The Physics of Maxwell's demon and information