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A New Perspective on ThermodynamicsThermodynamics in a Carnot Equation

A New Perspective on Thermodynamics: Thermodynamics in a Carnot Equation [Because of the nonconservative nature of thermodynamic fields, exterior differential forms seem like the natural formulation of thermodynamics. The so-called covectors of heat and work, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\mathcal{H}$$ \end{document} and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\mathcal{F}$$ \end{document}, are not gradients of any scalar functions. Information can be had by studying their “curls,” which are nonvanishing and measuring the deviations of these functions from “gradients,” which would lead to state functions that are path independent. These equations can be considered as being analogous to the first and second laws of circuitation in electrodynamics (Heaviside 1893).] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A New Perspective on ThermodynamicsThermodynamics in a Carnot Equation

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Publisher
Springer New York
Copyright
© Springer Science+Business Media, LLC 2010
ISBN
978-1-4419-1429-3
Pages
47 –70
DOI
10.1007/978-1-4419-1430-9_3
Publisher site
See Chapter on Publisher Site

Abstract

[Because of the nonconservative nature of thermodynamic fields, exterior differential forms seem like the natural formulation of thermodynamics. The so-called covectors of heat and work, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\mathcal{H}$$ \end{document} and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\mathcal{F}$$ \end{document}, are not gradients of any scalar functions. Information can be had by studying their “curls,” which are nonvanishing and measuring the deviations of these functions from “gradients,” which would lead to state functions that are path independent. These equations can be considered as being analogous to the first and second laws of circuitation in electrodynamics (Heaviside 1893).]

Published: Oct 28, 2009

Keywords: Isothermal Compressibility; Neutral Curve; Clapeyron Equation; Carnot Cycle; Isothermal Expansion

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