Talk:PlanetPhysics/Fermi Dirac Distribution

Original TeX Content from PlanetPhysics Archive

%%% This file is part of PlanetPhysics snapshot of 2011-09-01 %%% Primary Title: Fermi-Dirac distribution %%% Primary Category Code: 05.30.Fk %%% Filename: FermiDiracDistribution.tex %%% Version: 1 %%% Owner: invisiblerhino %%% Author(s): invisiblerhino %%% 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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The Fermi-Dirac distribution gives the probability of a \htmladdnormallink{fermion}{http://planetphysics.us/encyclopedia/Fermion.html} occupying a \htmladdnormallink{Microstate}{http://planetphysics.us/encyclopedia/StatisticalEntropy.html} with \htmladdnormallink{energy}{http://planetphysics.us/encyclopedia/CosmologicalConstant.html} $\epsilon$ and \htmladdnormallink{chemical potential}{http://planetphysics.us/encyclopedia/LebesgueMeasure.html} $\mu$ at a \htmladdnormallink{temperature}{http://planetphysics.us/encyclopedia/BoltzmannConstant.html} T. It is:

\[ f(\epsilon) = \frac{1}{1+exp(\frac{\epsilon - \mu}{kT})} \]

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