% Appendix: List of symbols
\chapter{List of symbols}

\section*{Greek Symbols}

\begin{flushleft}
\begin{tabular}{lll}
Symbol 			& Units 	& Meaning \\ \hline
$\alpha$                & $^\circ$C$^{-1}$ & thermal expansion coefficient \\
$\beta$                 & psu$^{-1}$    & haline contraction coefficient \\
$\Delta\theta$          & $^\circ$C     & potential temperature anomaly; generally refers to $\Delta_S\theta$ in this thesis \\
$\Delta_\rho\theta$     & $^\circ$C     & isopycnal potential temperature anomaly  \\
$\Delta_S\theta$        & $^\circ$C     & isohaline potential temperature anomaly \\
$\Delta_z\theta$        & $^\circ$C     & level potential temperature anomaly \\
$\Delta t$              & m             & duration of temporal averaging bin \\
$\Delta x$              & m             & horizontal displacement; width of averaging bin \\
$\Delta z$              & m             & height of averaging bin \\
$\gamma$                &               & function relating ambient $S$ and $\theta$ \\
$\rho$                  & kg/m$^3$      & density \\
$\rho_o$                & kg/m$^3$      & local ambient density \\
$\rho_\mathrm{ref}$     & kg/m$^3$      & reference density \\
$\sigma_\theta$         &               & potential density referenced to the surface \\
$\tau$                  & s             & period (of an oscillation) \\
$\theta$, $\theta_0$    & $^\circ$C     & potential temperature referenced to 0\,dbar \\


\end{tabular}
\end{flushleft}

\section*{Latin Symbols}

\begin{flushleft}
\begin{tabular}{lll}
Symbol 	          & Units & Meaning \\
$A$                     & m$^2$         & open surface, or its total area \\
$B$                     & m$^4$/s$^3$   & buoyancy flux \\
$C$                     &               & factor relating isohaline and level $H$ \\
$c$                     & m/s; n/a      & speed of light; initial puff concentration \\
$c_p$                   & J$\cdot^\circ$C$^{-1}\cdot$kg$^{-1}$ & specific heat capacity \\
$c_r$                   & J$\cdot^\circ$C$^{-1}\cdot$kg$^{-1}$ & crustal rock specific heat capacity \\
$F$		        &               & generic flux \\
$f$                     & s$^{-1}$      & Coriolis frequency \\
$g$                     & m/s$^2$       & gravitational acceleration \\
$H$                     & W             & heat flux \\
$H_a$                   & W             & ambient, upstream heat flux \\
$H_d$                   & W             & diffuse vent heat flux \\
$H_f$                   & W             & focused vent heat flux \\
$H_{g}$                 & W             & ``grouped surface'' estimate of $H_h$ \\ 
$H_h$                   & W             & horizontal heat flux \\
${H_h}^*$               & W             & horizontal heat flux (level referenced)\\
$H_p$                   & W             & plume heat flux \\
$H_{qs}$                & W             & ``quasi-synoptic'' estimate of $H_h$ \\
$H_R$                   & W/km          & heat loss per km of ridge \\ 
$H_v$                   & W             & vertical heat flux \\
${H_v}^*$               & W             & vertical heat flux (level referenced)\\
$h$                     & J$\cdot$s$^{-1}\cdot$photon$^{-1}$ & Planck constant \\
$I$                     & photon$\cdot$m$^{-2}\cdot$s$^{-1}$ & light intensity \\
$k$                     & m$^2$/s       & diffusivity \\
$L$                     & m             & length \\
$L_r$                   & kJ/kg         & latent heat of crystallization of crust \\
$l$                     & m             & Rossby radius of deformation \\
\end{tabular}

\begin{tabular}{lll}
Symbol 	& Units & Meaning \\ \hline
$M$                     & m$^4$/s$^2$   & momentum flux \\
$m$                     &               & generic slope of a line \\
$N$                     & s$^{-1}$      & buoyancy frequency \\ 
$n$                     &               & summation limit; number of area elements or puffs \\
$Q$                     & m$^3$/s       & volume flux \\
$Q_R$                   & kg$\cdot$s$^{-1}\cdot$km$^{-1}$ & production rate of crust per km \\
$R(x,y,z)$              & m$^{-3}$, kg$^{-1}$& density or concentration of an intensive property \\
$R_\rho$                &               & water-column stability ratio \\
${R_\rho}_o$            &               & source fluid stability ratio \\
$r$                     & m             & radius; half-width of initial puff \\
$\mathbf{\hat{n}}$      &               & unit vector normal to surface $A$ \\
$S$                     & psu           & salinity \\
$S_\mathrm{SW}$         & psu           & reference salinity of local sea water ($\sim$34.6\,psu) \\
$T$                     & $^\circ$C     & temperature \\
$t$                     & s             & time \\
$U$                     & m/s           & horizontal cross flow \\
$u$, ($\mathbf{u}$)     & m/s           & horizontal velocity (vector); often across-axis component\\
$u_r$                   & cm/yr         & full spreading rate \\
$V$                     & m$^3$         & volume \\
$v$, ($\mathbf{v}$)     & m/s           & horizontal velocity (vector), often along-axis component \\
$v_o$                   & m/s           & amplitude (of current oscillation) \\
$W$                     & m             & width \\
$w$                     & m/s           & vertical velocity \\
$X$                     & m             & east-west distance \\
$x$                     & m             & horizontal distance or coordinate \\
$Y$                     & m             & north-south distance \\
$y$                     & m             & horizontal distance or coordinate \\
\end{tabular}

\begin{tabular}{lll}
Symbol  & Units & Meaning \\ \hline
$Z$                     & m             & vertical distance \\
$Z_m$                   & m             & equilibration height of plume in quiescent conditions \\
$z$                     & m             & vertical distance or coordinate \\
$z_r$                   & m             & rise height of a plume in a cross flow \\
$z^*$                   & m             & maximum plume rise height in quiescent conditions \\



\hline%----------------------------------------------------------------------
\end{tabular}
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