As explained in this answer, the difference between align and alignat lies chiefly in the presence of some spacing between even and odd columns.
I would like to get the same result as with alignat (i.e. no spacing) but with a unique equation tag, similar to the use of aligned within equation (which adds spacing in the same way as align)
mwe
\documentclass[preview]{standalone}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage[T1]{fontenc}
\usepackage[latin1]{inputenc}
\begin{document}
I would like the same spacing as in:
\begin{alignat}{2}
\nu_n &= \mu_n \vec{F}_n &&= - \mu_n \nabla\phi_n\\
\nu_p &= \mu_p \vec{F}_p &&= - \mu_p \nabla\phi_p,
\end{alignat}
but with only one tag, as in:
\begin{equation}
\begin{aligned}
\nu_n &= \mu_n \vec{F}_n &&= - \mu_n \nabla\phi_n\\
\nu_p &= \mu_p \vec{F}_p &&= - \mu_p \nabla\phi_p
\end{aligned}.
\end{equation}
\end{document}

amsmathuser's guide (texdoc amsmath). it covers all the possibilities in very few pages. – barbara beeton Dec 08 '15 at 14:17