Talk:PlanetPhysics/Entropy

Original TeX Content from PlanetPhysics Archive

%%% This file is part of PlanetPhysics snapshot of 2011-09-01 %%% Primary Title: entropy %%% Primary Category Code: 05.70.-a %%% Filename: Entropy.tex %%% Version: 9 %%% Owner: bloftin %%% Author(s): invisiblerhino, fernsanz, bloftin, pahio %%% PlanetPhysics is released under the GNU Free Documentation License. %%% You should have received a file called fdl.txt along with this file. %%% If not, please write to gnu@gnu.org. \documentclass[12pt]{article} \pagestyle{empty} \setlength{\paperwidth}{8.5in} \setlength{\paperheight}{11in}

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\subsection{Introduction}

Entropy has a long and rich histroy in physics and was developed by many scientists over the years including Clausius, Maxwell, Boltzmann, Planck, Gibbs, Pauling and more recently Shannon and Hawking.\, The applications of entropy are far and wide ranging from engines to \htmladdnormallink{black holes}{http://planetphysics.us/encyclopedia/BlackHoles.html}.\, The \htmladdnormallink{concept}{http://planetphysics.us/encyclopedia/PreciseIdea.html} of {\em entropy} was introduced by the German R. J. E. Clausius in 1854.

\subsection{Definition}

The classical definition of entropy relates the differential change of entropy to the differential change in \htmladdnormallink{heat}{http://planetphysics.us/encyclopedia/Heat.html} at a given \htmladdnormallink{temperature}{http://planetphysics.us/encyclopedia/BoltzmannConstant.html} during a {\bf \htmladdnormallink{reversible process}{http://planetphysics.us/encyclopedia/ThermodynamicLaws.html}}:

\begin{equation} dS := \frac{dQ_{rev}}{T}; \quad S = \int\frac{dQ_{rev}}{T} \end{equation}

The belief that entropy is a measure of the disorder of the \htmladdnormallink{system}{http://planetphysics.us/encyclopedia/SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence.html} is a misconception.

\subsection{Examples}

\emph{Entropy, this entry is world editable, so feel free to contribute. Note please be courteous and document your changes with comments and discuss through posting.}

\subsection{References}

{\bf Beginner}

[1] Halliday, D., Resnick, R., Walker, J.: "\htmladdnormallink{fundamentals of physics".\,}{http://planetphysics.us/encyclopedia/CosmologicalConstant.html} 5th Edition, John Wiley \& Sons, New York, 1997.

{\bf Intermediate}

[2] Kondepudi, D., Prigogine, I. "Modern \htmladdnormallink{Thermodynamics}{http://planetphysics.us/encyclopedia/Thermodynamics.html} From Heat Engines to Dissipative Structures" John Wiley \& Sons, Chichester, 1998.

[3] Kittel, C., Kroemer, H. "Thermal Physics" Second Edition. W.H. Freeman and Company, New York, 1980.

{\bf Advanced}

[4] Greven, A., Keller, G., Warncke, G. "Entropy" Princeton University Press, New Jersey, 2003.

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