\batchmode

\documentclass[multphys,vecarrow]{svmult}
\RequirePackage{ifthen}


\usepackage{graphicx}
\usepackage{amssymb}
\usepackage{times}
\usepackage{helvet}
\usepackage{subfigure}


%
\providecommand{\cellLen}{{l_c}}%
\providecommand{\Var}[1]{\textrm{Var}(#1)}%
\providecommand{\Avg}[1]{\textrm{E}(#1)}
%
\providecommand{\kraussmodel}{Krauss-model}%
\providecommand{\leaderspeed}{{v_l}}%
\providecommand{\mespeed}{{v_f}}%
\providecommand{\megap}{{g}}%
\providecommand{\leadergap}{{g_l}}%
\providecommand{\vmax}{{v_{{\rm max}}}}%
\providecommand{\vsafe}{{v_{\textrm{safe}}}}%
\providecommand{\vdes}{{v_{\textrm{des}}}}%
\providecommand{\vcrit}{{v_{\textrm{thres}}}}%
\providecommand{\tRelax}{{t_{\textrm{relax}}}}%
\providecommand{\NumCars}{{N}}%
\providecommand{\RoadLen}{{L}}%
\providecommand{\DensMesLen}{{\ell}}%
\providecommand{\withProb}{{\twoheadleftarrow}}%
\providecommand{\LocalDens}{{\rho_\ell}}%
\providecommand{\densVar}{{\textrm{Var}({\rho_\ell})}}
%
\providecommand{\laminar}{laminar}%
\providecommand{\jammed}{jammed}
%
\providecommand{\eps}{\varepsilon}
\usepackage{mycolor-prn}



\usepackage{graphicx}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{subeqnar}
\usepackage{epsfig}
\usepackage{citesort}




\usepackage[dvips]{color}


\pagecolor[gray]{.7}

\usepackage[latin1]{inputenc}



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\makeatletter \tracingstats = 1 
\providecommand{\Eta}{\textrm{H}}
\providecommand{\Mu}{\textrm{M}}
\providecommand{\Alpha}{\textrm{A}}
\providecommand{\Iota}{\textrm{J}}
\providecommand{\Nu}{\textrm{N}}
\providecommand{\Omicron}{\textrm{O}}
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\providecommand{\Beta}{\textrm{B}}
\providecommand{\Kappa}{\textrm{K}}
\providecommand{\Tau}{\textrm{T}}
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\providecommand{\Rho}{\textrm{R}}


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$ T$%
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$ p>p_c$%
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$ {L}=600$%
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$ {\textrm  {Var}({\rho _\ell })}=0.09$%
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$ {L}=1000$%
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$ {\ell }=62.5$%
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$ \varepsilon $%
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$ v$%
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$ V(\rho)$%
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$ Q(\rho) =
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$ \rho_1$%
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$ \rho_L$%
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$ r_c(\rho)$%
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$ r_c$%
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$\displaystyle =$%
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$ [0,1]$%
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$ 7.5$%
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$ 1$%
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$ 22.5$%
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$ 81$%
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$ 1.5$%
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$ 5.4$%
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$ 16.2$%
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$ L$%
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$ t_{\rm relax}$%
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$ {v_{{\rm max}}}/ 2$%
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$ {\ell}$%
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$ {L}$%
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$ {\rho_\ell}$%
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$\displaystyle {\textrm{Var}({\rho_\ell})}= \frac{{\ell}}{{L}} \sum_{i=1}^{{L}/{\ell}}  \left({\rho_\ell}(i)  - \rho_L\right)^2 \  ,$%
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$ \ell$%
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$ {\textrm{Var}({\rho_\ell})}$%
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$ \varepsilon = 1$%
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$ 0.8$%
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$ \rho=0.2$%
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$ \ell \ll L$%
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$ \ell=62.5$%
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$ \ell \approx L$%
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$ \varepsilon \to 0$%
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$ {l_c}$%
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$ {l_c}= 1/\rho_{jam} \approx
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$ g_t$%
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$ t$%
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$\displaystyle v_t = \left\{ \begin{array}[c]{ll} \max[ 0, v_{t+\frac{1}{2}} - 1] & \hbox{with probability } p_{\rm slow}(v_t) \\v_{t+\frac{1}{2}} & \hbox{else } \end{array} \right. \  ,$%
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$\displaystyle a(t) = \alpha \cdot \left( V(g(t)) - v(t) \right)\  , \hbox{\  \ with\  \ } V(g) = v_f \cdot (\tanh(g+l_c) - \tanh(l_c)) \  ,$%
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$ V(.)$%
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$ l_c$%
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$ v_f$%
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$ V(g)$%
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$ \alpha$%
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$\displaystyle \partial_t v + v \, \partial_x v = \frac{1}{\tau} \left( V(\rho) - v \right) + \alpha(\rho) \, \partial_x \rho + \nu(\rho) \, \partial_x^2 v$%
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$ |dV/d\rho| > c_0/\rho$%
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$ V'(\rho)$%
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$ V'(g)$%
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\stepcounter{section}
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\end{document}

