\documentclass[10pt]{article}

\usepackage{fullpage}
\usepackage{setspace}
\usepackage{parskip}
\usepackage{titlesec}
\usepackage[section]{placeins}
\usepackage{xcolor}
\usepackage{breakcites}
\usepackage{lineno}
\usepackage{hyphenat}





\PassOptionsToPackage{hyphens}{url}
\usepackage[colorlinks = true,
            linkcolor = blue,
            urlcolor  = blue,
            citecolor = blue,
            anchorcolor = blue]{hyperref}
\usepackage{etoolbox}
\makeatletter
\patchcmd\@combinedblfloats{\box\@outputbox}{\unvbox\@outputbox}{}{%
  \errmessage{\noexpand\@combinedblfloats could not be patched}%
}%
\makeatother


\usepackage{natbib}




\renewenvironment{abstract}
  {{\bfseries\noindent{\abstractname}\par\nobreak}\footnotesize}
  {\bigskip}

\titlespacing{\section}{0pt}{*3}{*1}
\titlespacing{\subsection}{0pt}{*2}{*0.5}
\titlespacing{\subsubsection}{0pt}{*1.5}{0pt}


\usepackage{authblk}


\usepackage{graphicx}
\usepackage[space]{grffile}
\usepackage{latexsym}
\usepackage{textcomp}
\usepackage{longtable}
\usepackage{tabulary}
\usepackage{booktabs,array,multirow}
\usepackage{amsfonts,amsmath,amssymb}
\providecommand\citet{\cite}
\providecommand\citep{\cite}
\providecommand\citealt{\cite}
% You can conditionalize code for latexml or normal latex using this.
\newif\iflatexml\latexmlfalse
\providecommand{\tightlist}{\setlength{\itemsep}{0pt}\setlength{\parskip}{0pt}}%

\AtBeginDocument{\DeclareGraphicsExtensions{.pdf,.PDF,.eps,.EPS,.png,.PNG,.tif,.TIF,.jpg,.JPG,.jpeg,.JPEG}}

\usepackage[utf8]{inputenc}
\usepackage[english]{babel}



\usepackage{float}








\begin{document}

\title{On the Hydrodynamics of Crystal Clustering}



\author[1]{Michael McIntire}%
\author[2]{George Bergantz}%
\author[1]{Jillian Schleicher}%
\affil[1]{University of Washington Seattle Campus}%
\affil[2]{University of Washington}%


\vspace{-1em}



  
  \date{May 25, 2024}


\begingroup
\let\center\flushleft
\let\endcenter\endflushleft
\maketitle
\endgroup





\selectlanguage{english}
\begin{abstract}
The formation of crystal clusters may influence the mechanical behaviour
of magmas. However whether clusters form largely from physical contact
in a mobile state during sedimentation and stirring, or require
residence in a crystal mush is not well understood. We use
discrete-element fluid dynamics numerical experiments to illuminate the
potential for clustering from both sedimentation and open-system mixing
in a model olivine basalt reservoir for three different initial solid
volume fractions. Crystal clustering is quantified using both bulk
measures of clustering such as the R index and Ripley's L(r) and g(r)
functions and with a variable scale technique called Voronoi
tessellations, which also provide orientation data. Probability density
functions for the likelihood of crystal clustering under freely
circulating conditions indicates that there is nearly an equal
likelihood for clustering and non-clustered textures in natural
examples. A crystal cargo in igneous rock suites exhibiting a dominance
of crystal clusters may be largely sampling magmatic materials formed in
a crystal mush.%
\end{abstract}%



\sloppy




\selectlanguage{english}
\FloatBarrier
\end{document}

