From 433ef451292fc8b6819b2a4a9edbe19f39c1b354 Mon Sep 17 00:00:00 2001 From: Andrew James Steinmetz Date: Tue, 7 Nov 2023 20:00:53 -0700 Subject: [PATCH] Fixed typo. Now actually black revised version. --- plasma-partition.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/plasma-partition.tex b/plasma-partition.tex index 0555be7..795c850 100644 --- a/plasma-partition.tex +++ b/plasma-partition.tex @@ -414,7 +414,7 @@ \section{Gilbertian magnetization of electron-positron plasma} \label{defmagetization} {\cal M}\equiv\frac{T}{V}\frac{\partial}{\partial{\cal B}}\ln{{\cal Z}_{e^{+}e^{-}}} = \frac{T}{V}\left(\frac{\partial b_{0}}{\partial{\cal B}}\right)\frac{\partial}{\partial b_{0}}\ln{{\cal Z}_{e^{+}e^{-}}}\,, \end{align} -Magnetization arising from other components in the cosmic gas (protons, neutrinos, etc.) could in principle also be included. Localized inhomogeneities of matter evolution are often non-trivial and generally be solved numerically using magneto-hydrodynamics (MHD)~\cite{melrose2008quantum,Vazza:2017qge,Vachaspati:2020blt,Stoneking:2020egj}. In the context of MHD, primordial magnetogenesis from fluid flows in the electron-positron epoch was considered in~\cite{Gopal:2004ut,Perrone:2021srr}. {\color{blue} We note in passing that the possible conservation of magnetic helicity~\cite{Boyarsky:2011uy} +Magnetization arising from other components in the cosmic gas (protons, neutrinos, etc.) could in principle also be included. Localized inhomogeneities of matter evolution are often non-trivial and generally be solved numerically using magneto-hydrodynamics (MHD)~\cite{melrose2008quantum,Vazza:2017qge,Vachaspati:2020blt,Stoneking:2020egj}. In the context of MHD, primordial magnetogenesis from fluid flows in the electron-positron epoch was considered in~\cite{Gopal:2004ut,Perrone:2021srr}. {\xblue We note in passing that the possible conservation of magnetic helicity~\cite{Boyarsky:2011uy} relates to current induced magnetic fields. We do not expect this conservation law to hold for our Gilbertian spin based magnetization. }