Clausius theorem
The Clausius theorem [1][2] [3] [4](also known as the Carnot-Clausius theorem) states that
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where Q is the heat and T is the temperature. This equation becomes an equality for a reversible cycle. This theroem has recently been derived without making use of the Second law of thermodynamics [5] by making use of the Evans-Searles transient fluctuation theorem and the Crooks fluctuation theorem.
See also
References
- ↑ R. Clausius "Ueber die bewegende Kraft der Wärme und die Gesetze, welche sich daraus für die Wärmelehre selbst ableiten lassen", Annalen der Physik und Chemie 79 pp. 368-397 (1850)
- ↑ R. Clausius "On the Application of the Theorem of the Equivalence of Transformations to the Internal Work of a Mass of Matter", Philosophical Magazine 24 series 4 pp. 81-97 (1862)
- ↑ R. Clausius "Ueber verschiedene für die Anwendung bequeme Formen der Hauptgleichungen der mechanischen Wärmetheorie", Annalen der Physik und Chemie 125 pp. 353-400 (1865)
- ↑ Nicolas Léonard Sadi Carnot "Reflexions sur la Puissance Motrice de Feu et sur les Machines Propres a Développer cette Puissance" (1824), printed in Annales scientifiques de l'École Normale Supérieure Sér. 2, 1 pp. 393-457 (1872)
- ↑ Denis J. Evans, Stephen R. Williams, and Debra J. Searles "A proof of Clausius’ theorem for time reversible deterministic microscopic dynamics", Journal of Chemical Physics 134 204113 (2011)