Status of the Clausius inequality in classical thermodynamics

A. V. Gavrilov

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arXiv · 1309.7191

Status of the Clausius inequality in classical thermodynamics

A. V. Gavrilov

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Abstract

We present an analysis of the foundations of the well known Clausius inequality. It is shown that, strictly speaking, 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. Also, a reformulation of the Landauer's principle in terms of the Clausius inequality is proposed. This version of the inequality may be considered a consequence of the fluctuation theorem.

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A. V. Gavrilov. 2013-09-27. Status of the Clausius inequality in classical thermodynamics. https://arxiv.org/abs/1309.7191

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