# peeterjoot/physicsplay

modified: basicStatMechLecture17.tex

new file:   basicStatMechLecture18.tex
modified:   renumber
 @@ -5,7 +5,7 @@ \input{../blogpost.tex} \renewcommand{\basename}{basicStatMechLecture17} \renewcommand{\dirname}{notes/phy452/} -\newcommand{\keywords}{Statistical mechanics, PHY452H1S} +\newcommand{\keywords}{Statistical mechanics, PHY452H1S, Fermi gas, chemical potential, density, Fermi energy, Fermi temperature, occupancy, delta function} \input{../peeter_prologue_print2.tex} \beginArtNoToc @@ -26,9 +26,9 @@ \section{Fermi gas thermodynamics} \frac{E}{N} = \frac{3}{5} \epsilon_{\mathrm{F}}\qquad \mbox{where $T = 0$}. \end{equation} -\item Pressure was found to have the form \cref{fig:lecture17:lecture17Fig3} +\item Pressure was found to have the form \cref{fig:lecture17:lecture17Fig1} -\imageFigure{lecture17Fig3}{Pressure in Fermi gas}{fig:lecture17:lecture17Fig3}{0.3} +\imageFigure{lecture17Fig1}{Pressure in Fermi gas}{fig:lecture17:lecture17Fig1}{0.3} \item The chemical potential was found to have the form \cref{fig:lecture17:lecture17Fig2}. @@ -72,7 +72,7 @@ \section{Fermi gas thermodynamics} \sum_k \epsilon_\Bk n_{\mathrm{F}}(\epsilon_\Bk). \end{dmath} -FIXME: review where these came from. +FIXME: references to earlier sections where these were derived. We can define a density of states @@ -171,9 +171,9 @@ \section{Fermi gas thermodynamics} \epsilon_\Bk = \sqrt{ m_0^2 c^4 + p^2 c^2 } \sim \Abs{\Bp} c. \end{dmath} -Another example is graphene, a carbon structure of the form \cref{fig:lecture17:lecture17Fig1}. The energy and momentum for such a structure is related in roughly as shown in \cref{fig:lecture17:lecture17Fig4}, where +Another example is graphene, a carbon structure of the form \cref{fig:lecture17:lecture17Fig3}. The energy and momentum for such a structure is related in roughly as shown in \cref{fig:lecture17:lecture17Fig4}, where -\imageFigure{lecture17Fig1}{Graphene bond structure}{fig:lecture17:lecture17Fig1}{0.3} +\imageFigure{lecture17Fig3}{Graphene bond structure}{fig:lecture17:lecture17Fig3}{0.3} \imageFigure{lecture17Fig4}{Graphene energy momentum dependence}{fig:lecture17:lecture17Fig4}{0.3} \begin{dmath}\label{eqn:basicStatMechLecture17:260}