Example: Periodic boundaries conditions

Published 2009-11-16 | Author: Germain Salvato-Vallverdu

In condensed matter simulation periodic boundaries conditions are often used to simulate an infinite system.

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Periodic boundaries conditions

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% Periodic boundaries conditions
% Germain Salvato-Vallverdu - may 2009
% http://germain.salvato-vallverdu.perso.sfr.fr


\title{Periodic boundaries conditions}
\author{Germain Salvato-Vallverdu}

pdfauthor={Germain Salvato-Vallverdu},%
pdftitle={Periodic boundaries conditions},% 
pdfkeywords={Tikz,latex,Periodic boundaries conditions,simulation},%




% 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);





  • #1 alexraasch, November 16, 2009 at 5:29 p.m.

    Would have been even nicer if the molecules were tikz commands, too.

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