% miko:type: atomic
% miko:title: Chemical Potential
% miko:summary: The change in thermodynamic potential when particle number changes.
% miko:tags: thermo
% miko:difficulty: undergrad
% miko:related: gibbs-free-energy, partition-function
% miko:keywords: particle number, equilibrium, Gibbs free energy

\documentclass{article}
\usepackage{amsmath}
\title{Chemical Potential}
\begin{document}
\maketitle

\section{Definition}

The chemical potential is

$$
\mu=\left(\frac{\partial G}{\partial N}\right)_{T,p}.
$$

\section{Equilibrium}

Particle exchange equilibrates chemical potentials. If two systems can
exchange particles, equilibrium requires their $\mu$ values to match.

\end{document}
