In condensed matter simulation periodic boundaries conditions are often used to simulate an infinite system.
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% Periodic boundaries conditions % Germain Salvato-Vallverdu - may 2009 % http://germain.salvato-vallverdu.perso.sfr.fr \documentclass[11pt,a4paper]{article} \usepackage[utf8]{inputenc} \usepackage{graphicx} \usepackage{tikz} \usepackage[active,tightpage]{preview} \PreviewEnvironment{tikzpicture} \setlength\PreviewBorder{5pt}% \title{Periodic boundaries conditions} \author{Germain Salvato-Vallverdu} \usepackage{hyperref} \hypersetup{% pdfauthor={Germain Salvato-Vallverdu},% pdftitle={Periodic boundaries conditions},% pdfkeywords={Tikz,latex,Periodic boundaries conditions,simulation},% pdfcreator={PDFLaTeX},% pdfproducer={PDFLaTeX},% } \pagestyle{empty} \begin{document} \begin{center} \begin{tikzpicture} % water molecule in the initial simulation box \path (0.45,3.3) node {\includegraphics[width=0.75cm]{img/wat}} (1.6,4.4) node {\includegraphics[width=0.75cm]{img/wat3}} (0.5,4.45) node {\includegraphics[width=0.75cm]{img/wat2}} (1.1,3.7) node {\includegraphics[width=0.75cm]{img/wat4}}; % edge of the initial simulation box \path[draw,ultra thick] (0,3) rectangle (2,5); % periodic boundaries \foreach \x in {5,7,9} { \foreach \y in {1,3,5} { % water molecules in images \node at (\x+0.45,\y+0.3) {\includegraphics[width=0.75cm]{img/wat}}; \node at (\x+1.6 ,\y+1.4) {\includegraphics[width=0.75cm]{img/wat3}}; \node at (\x+0.5 ,\y+1.45) {\includegraphics[width=0.75cm]{img/wat2}}; \node at (\x+1.1 ,\y+0.7) {\includegraphics[width=0.75cm]{img/wat4}}; % edge of each box \path[draw,thick] (\x,\y) rectangle (\x+2,\y+2); } } % central box thicker than other \path[draw,ultra thick] (7,3) rectangle (9,5); % an arrow \path[draw,ultra thick,->] (2.5,4) -- (4.5,4); % dashed lines \foreach \x in {5,7,9,11} { % vertical \path[draw,dashed,thick] (\x,0) -- (\x,1) (\x,7) -- (\x,8); % horizontal \path[draw,dashed,thick] (4,\x-4) -- (5,\x-4) (11,\x-4) -- (12,\x-4); } \end{tikzpicture} \end{center} \end{document}
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