Commit: 1fc701cae23ea87cedfe9e1697ff025ae601168f - myprojects-hg-reborn (hg)

Commit MetaInfo

• Revision: 1fc701cae23ea87cedfe9e1697ff025ae601168f (tree)
• Time: 2008-12-03 01:36:29
• Author: iselllo
• Commiter: iselllo

Log Message

I added a code which shows how to create your own personalized beamer style using some templates.
See also the contribution on

http://www.stat.columbia.edu/~cook/movabletype/archives/2008/01/beamer_powerpoi.html

given by Eric Rasmusen.

Change Summary

• add: latex-documents/exploratory_research.tex

Incremental Difference

diff -r 17de3a02c32b -r 1fc701cae23e latex-documents/exploratory_research.tex
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/latex-documents/exploratory_research.tex	Tue Dec 02 16:36:29 2008 +0000
@@ -0,0 +1,515 @@
+% Copyright 2007 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/licenses/LICENSE for more details. 
+     
+        
+
+\documentclass{beamer}  
+%\newcommand{\ol}{\overline}
+\renewcommand{\i}{\int}
+\newcommand{\n}{\nabla}
+\newcommand{\x}{\vec x\; }
+\renewcommand{\d}{\dag}
+\newcommand{\h}{\hat}
+\newcommand{\p}{\partial}
+\renewcommand{\v}{\vert}
+\renewcommand{\l}{\langle}
+\renewcommand{\r}{\rangle}
+\newcommand{\f}{\frac}
+\newcommand{\s}{\sum}
+\newcommand{\lm}[1]{\lim_{#1\to\infty}}
+% \renewcommand{\in}{\infty}
+\newcommand{\rro}{\right)}
+\newcommand{\lro}{\left( }
+\newcommand{\lsq}{\left[}
+\newcommand{\rsq}{\right]}
+\newcommand{\rcu}{\right\}}
+\newcommand{\lcu}{\left\{}
+\newcommand{\be}{\begin{equation}}
+\newcommand{\ee}{\end{equation}}
+\newcommand{\bi}{\begin{itemize}}
+\newcommand{\ei}{\end{itemize}}
+\newcommand{\ben}{\begin{enumerate}}
+\newcommand{\een}{\end{enumerate}}
+\newcommand{\esp}{ESPResSo}
+
+
+
+\newcommand{\jc}{{\it Journal of Colloid and Interface Science}}
+\newcommand{\jas}{{\it Journal of Aerosol Science}}
+\newcommand{\pra}{{\it Physical Review A}}
+\newcommand{\prb}{{\it Physical Review B}}
+\newcommand{\pre}{{\it Physical Review E}}
+\newcommand{\prl}{{\it Physical Review Letters}}
+
+
+%Fine preambolo
+
+
+
+\newcommand{\unit}{\hat{\bf n}}
+%  \newcommand{\pol}{\hat{\bf e}}
+\newcommand{\rv}{{\bf r}}
+\newcommand{\Ev}{{\bf E}}
+\newcommand{\Bv}{{\bf B}}
+\newcommand{\Ec}{{\cal E}}
+\newcommand{\Rc}{{\cal R}}
+\newcommand{\Pc}{{\cal P}}
+\newcommand{\Pcv}{\bbox {\cal P}}
+\newcommand{\dv}{{\bf d}}
+\newcommand{\Dc}{{\cal D}}
+\newcommand{\Dcv}{\bbox {\cal D}}
+\newcommand{\Hc}{{\cal H}}
+\newcommand{\kappav}{\bbox \kappa}
+\newcommand{\Dkappav}{\Delta {\bbox\kappa}}
+\newcommand{\qv}{{\bf q}}
+\newcommand{\kv}{{\bf k}}
+\newcommand{\eo}{\epsilon_0}
+\newcommand{\ej}{\epsilon_j}
+\newcommand{\beq}{\begin{equation}}
+\newcommand{\eeq}{\end{equation}}
+\newcommand{\bea}{\begin{eqnarray}}
+\newcommand{\eea}{\end{eqnarray}}
+\newcommand{\up}{\uparrow}
+\newcommand{\down}{\downarrow}
+\newcommand{\<}{\langle}
+\renewcommand{\>}{\rangle}
+\renewcommand{\(}{\left(}
+\renewcommand{\)}{\right)}
+\renewcommand{\[}{\left[}
+\renewcommand{\]}{\right]}
+\newcommand{\dagg}{d_{\rm{agg}}}
+\newcommand{\vagg}{V_{\rm{agg}}}
+\newcommand{\nagg}{n_{\rm{agg}}}
+\newcommand{\df}{d_{f}}
+\newcommand{\ragg}{\rho_{\rm{agg}}}
+\newcommand{\reff}{\rho_{\rm{eff}}}
+\newcommand{\re}{{\rm{Re}}}
+\newcommand{\pr}{{\rm{Pr}}}
+\newcommand{\sh}{{\rm{Sh}}}
+\newcommand{\Kn}{{\rm{Kn}}}
+\newcommand{\ra}{{\rm{Ra}}}
+\renewcommand{\sc}{{\rm{Sc}}}
+\newcommand{\nusselt}{{\rm{Nu}}}
+\newcommand{\magg}{m_{\rm{agg}}}
+\newcommand{\tres}{\tau_{\rm{res}}}
+\newcommand{\gdif}{{\gamma_{\rm{dif}}}}
+\newcommand{\vdep}{{v_{\rm{dep}}}}
+\newcommand{\gth}{{\gamma_{\rm{th}}}}
+\newcommand{\vth}{{v_{\rm{th}}}}
+% \newcommand{\tres}{{\tau_{\rm{res}}}}
+\newcommand{\kt}{{K_{\rm{T}}}}
+\newcommand{\kair}{{k_{\rm{air}}}}
+\newcommand{\vdif}{{v_{\rm{dif}}}}
+\newcommand{\kp}{{k_{\rm{p}}}}
+\newcommand{\commentout}[1]{{}}
+%\newcommand{\half}{\hbox}
+% \newcommand{\half}{\hbox{$1\over2$}}
+\newcommand{\nv}{{\vec\nabla}}
+\renewcommand{\c}{{\cdot}}
+\newcommand{\hv}{\harvarditem}
+\renewcommand{\baselinestretch}{.9}
+
+
+
+
+
+
+
+\definecolor{orange}{rgb}{1,0.5,0}
+\definecolor{darkgreen}{rgb}{0,0.5,0}
+
+
+\definecolor{mymagenta}{cmyk}{0,1.,0,0.2}
+
+\definecolor{Brown}{cmyk}{0, 0.8, 1, 0.6}
+\definecolor{Yellow}{rgb}{1, 1, 0}
+\definecolor{Light}{gray}{.80}
+\definecolor{Dark}{gray}{.20}
+
+
+
+
+%
+% DO NOT USE THIS FILE AS A TEMPLATE FOR YOUR OWN TALKS¡!!
+%
+% Use a file in the directory solutions instead.
+% They are much better suited.
+%
+
+
+
+
+
+
+
+% Author, Title, etc.
+  
+\title[Modelling of diesel-engine exhaust nano-particle dynamics] 
+{%
+  Modelling of diesel-engine exhaust nanoparticle dynamics
+%
+}
+
+\author[Isella, Drossinos]
+{
+  Lorenzo~Isella\inst{},
+  Barouch Giechaskiel\inst{} 
+ and
+  Yannis~Drossinos\inst{}
+}
+
+\institute[]
+{
+  \inst{}%
+  Joint Research Centre, Ispra, Italy
+}
+
+\date{JRC Exploratory Research Symposium, December 2008}
+
+
+%package for movies
+
+\usepackage{movie15} 
+
+
+
+
+% Setup TikZ
+
+% \usepackage{tikz}
+% \usetikzlibrary{arrows}
+% \tikzstyle{block}=[draw opacity=0.7,line width=1.4cm]
+
+
+
+
+% Standard packages
+\usepackage{times}
+\usepackage[T1]{fontenc}
+\usepackage[english]{babel}
+\usepackage[latin1]{inputenc}
+\usepackage{verbatim}
+\usepackage{epsfig}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{amsthm}
+\newtheorem{thm}{Theorem}[section]
+\setbeamercovered{dynamic}
+
+
+
+
+% Setup appearance:
+
+
+\usetheme{default}
+\usefonttheme[onlylarge]{structurebold}
+
+
+
+\setbeamersize{text margin left=.5cm}
+\setbeamersize{text margin right=.5cm}
+%\setbeamertemplate{headline}{}%
+\setbeamertemplate{navigation symbols}{} %gets rid of navigation symbols
+%\setbeamertemplate{footline}[page number]{} %gets rid of bottom navigation bars
+
+\setbeamertemplate{itemize items}[circle]
+\setbeamercolor{titlelike}{fg=blue}
+\setbeamercolor{item}{fg=blue}
+
+\setbeamertemplate{frametitle}{
+\vspace{0.7cm}
+\begin{centering}
+{\Large \textbf{\textmd{\insertframetitle}}}
+\par
+\end{centering}
+}
+
+
+
+% The main document
+
+\begin{document}
+
+
+
+
+
+\usebackgroundtemplate{\includegraphics[width=\paperwidth]{back.pdf}}
+
+
+\begin{frame}
+  \titlepage
+\end{frame}
+
+% \begin{frame}{Outline}
+%   \tableofcontents
+% \end{frame}
+
+
+\section{Introduction}
+
+\subsection{Problem Formulation}
+%\vspace*{0.3cm}
+\begin{frame}[c]{Motivation and Goals}
+\vspace*{-0.2cm}
+  \begin{itemize}
+\item \textcolor{red}{Diesel-generated nanoparticles} raise concerns
+  about their effects on  human health and
+  environment.
+\item \textcolor{red}{Legislation}  regulating diesel-vehicle particulate \textcolor{red}{mass}
+  emissions (EURO1,2,3,4,\emph{etc}\dots), but particle number
+  distributions may be a better metric (especially for health effects).
+\item Evaluate  \textcolor{red}{effect of sampling and experimental conditions}
+ on measured particle number distributions emitted from light/heavy duty vehicles $\Rightarrow$ \textcolor{red}{PMP}.
+\item  Exploratory research as an experimental and theoretical study of the
+ \textcolor{red}{dynamics of non-volatile (\textcolor{red}{PMP}) particles emitted from diesel
+ light-duty vehicles} (emphasis on nanoparticle agglomeration).
+ \item Experiments performed at the \textcolor{red}{Vehicle Emission LAboratories}
+ (VELA) at Ispra.
+% \item Investigation of diesel-nanoparticle aggregate structure, collisions and
+%   mobility via \textcolor{red}{Langevin} simulations.
+%  \item Aerosol processes: \textcolor{red}{convection, agglomeration, thermophoretic and
+%  diffusional transport}
+%  \item Emitted agglomerates are \textcolor{red}{fractal} objects. How
+%    to estimate their fractal dimension from limited experimental information?
+
+
+
+  \end{itemize} 
+\end{frame}
+
+\section{Overview of the Experiments}
+
+\subsection{Exhaust-Particle Measurements}
+%\vspace*{0.3cm}
+\begin{frame}[t]{Experimental setup}
+\vspace*{-.6cm}
+\begin{center}
+\includegraphics[width=8cm, height=6cm]{figure1.pdf}
+\end{center}
+\vspace*{-0.2cm}
+\begin{itemize}
+\item Temperature and particle-size distribution measurements along
+  \textcolor{red}{whole} experimental manifold (\textcolor{red}{not}
+  only at legislated position). 
+\end{itemize}
+\end{frame}
+
+
+\subsection{Number Distributions}
+%\vspace*{0.3cm}
+\begin{frame}[t]{Inlet and outlet experimental
+ number distributions:  \\ {   EURO 3 vehicle, 120km/h} }
+\vspace*{-0.5cm}
+\begin{center}
+\rotatebox{90}{\includegraphics[width=5cm, height=8cm]{figure2_b.pdf}}
+\end{center}
+\vspace*{-0.6cm}
+\begin{itemize}
+% \item The experimental number distributions can be excellently
+%   approximated with analytical lognormal distributions.
+ \item \textcolor{red}{Lognormal} distribution
+%\vspace*{-0.3cm}
+ \beq \nonumber
+ \begin{split}
+ dN^{\textrm{fit}} & {} =
+ \f{N_{\infty}} {\sqrt{2\pi}\log\sigma}\exp\lsq-\f{(\log d_{\rm agg}-\log\mu)^2}{2\log^2\sigma}\rsq d\log d_{\rm agg} \\
+%  & {} \equiv n_q (\log d_{\rm agg}) \,  d \log d_{\rm agg}
+ \end{split}
+ \eeq
+\vspace*{-0.2cm}
+\item Compact way of representing the data: $N_{\infty}, \mu\;\; {\rm
+    and}\;\; \sigma $ \textcolor{red}{unambiguously} describe the experimental data.
+
+ 
+% \item Pressure fluctuations $\Rightarrow$ higher uncertainty on the 
+%   number concentration $N_\infty$ (\textcolor{red}{not} on $\mu$ and $\sigma$) at inlet than outlet.
+\end{itemize}
+\end{frame}
+  
+ 
+
+\section{Dynamics along transfer tube}
+
+\subsection{1D model for  aerosol dynamics}
+  
+%\vspace*{0.3cm}   
+\begin{frame}[t]{Aerosol in a Tube}
+\vspace*{-0.5cm}  
+\begin{center}   
+\resizebox{10cm}{3cm}{\input{cylinder.pdf_t}} 
+
+%\includegraphics[width=8cm, height=4cm]{cylinder.pdf}
+\end{center}
+\begin{itemize}
+\vspace*{-0.1cm}
+\item Four different aerosol processes:
+  \textcolor{darkgreen}{agglomeration},
+  \textcolor{mymagenta}{diffusion},
+\textcolor{Brown}{thermophoresis} and \textcolor{blue}{convection}.
+%\vspace*{-0.1cm}     
+\item 1D model neglecting turbulence-induced  local  particle density
+   inhomogeneities. 
+   \item \textcolor{red}{$n_q$} (flux-averaged axial aggregate
+     concentration of size $d_q$ [$q$-mer])
+ along  tube as function 
+     of \textcolor{red}{residence time} \textcolor{blue}{$\tau$}  
+\end{itemize} 
+\vspace*{-0.1cm}
+ \beq\nonumber
+ \;\;\,\f{d n_q(\textcolor{blue}{\tau})}{d\textcolor{blue}{\tau}}=-\f{2(\textcolor{mymagenta}{v_{\rm dif}}+\textcolor{Brown}{v_{\rm th}})}{
+   R}n_q(\textcolor{blue}{\tau})+
+\f{1}{2}\sum_{i+j=q}\textcolor{darkgreen}{\mathcal{K}_{ij}}n_i(\textcolor{blue}{\tau})n_j(\textcolor{blue}{\tau}) - n_q(\textcolor{blue}{\tau})\sum_i\textcolor{darkgreen}{\mathcal{K}_{iq}}n_i(\textcolor{blue}{\tau}).
+ \eeq
+
+% \item $n_q$ the mean (flux-averaged) axial aggregate concentration of size $d_q$
+
+        
+
+\end{frame}
+
+%\vspace*{0.3cm}   
+\begin{frame}[t]{Time-Scales and Approximations}
+%\vspace*{-0.45cm}
+  \begin{itemize}
+  \item Time-scales for each process: $\tau_{\rm agg}\simeq 2$s,
+    $\tau_{\rm dif}\simeq 10^{3}$s, $\tau_{\rm th}\simeq 30s$ and
+    $\tau_{\rm conv}\simeq 2$s.
+  \end{itemize}
+\vspace*{-0.5cm}
+\begin{center}
+\includegraphics[width=8cm, height=5.5cm]{figure7_b.pdf}
+\end{center}
+\vspace*{-0.5cm}
+\begin{itemize}
+\item Effect of the transfer tube length on number concentration:
+  important for experiment \textcolor{red}{reproducibility}.
+\item Different $\tau_{\rm agg}$ for a \textcolor{red}{light-duty} Euro4-5 diesel engine.
+\end{itemize}
+
+
+\end{frame}
+
+ 
+\section{Simulation of soot aggregate formation} 
+\subsection{Model for Monomer Dynamics}
+%\vspace*{0.3cm}   
+\begin{frame}[t]{Langevin Equation for Mesoscopic Systems}
+\vspace*{-0.5cm}
+\begin{center}   
+\resizebox{7cm}{4.5cm}{\input{brownian.pdf_t}}
+
+%\includegraphics[width=8cm, height=4cm]{cylinder.pdf}
+\end{center}
+%\vspace*{-0.15cm}
+\begin{itemize}
+\item  \textcolor{red}{3D} system of interacting monomers, each
+  obeying
+%\vspace*{-0.2cm} 
+\begin{equation}
+  \label{eq:Langevin} \nonumber
+  m_1\ddot{\bf r}_i=\textcolor{red}{{\bf F}_i}-\beta_1 m_1\dot{\bf r}_i+ 
+  {\bf W}_i(t).
+\end{equation}
+\vspace*{-0.55cm}  
+\item Force acting on i-th monomer from \textcolor{red}{pairwise} monomer-monomer interaction potential
+\vspace*{-0.25cm}  
+\begin{equation} \nonumber
+  \label{eq:potential_pairwise}
+  {\bf F}_i=-\nabla_{{\bf r}_i} U_i=-\f{\nabla_{{\bf r}_i}}{2}\lro\s_{j\neq i}u(r_{ij})\rro.
+\end{equation}
+\end{itemize}
+\end{frame}
+
+ 
+
+\subsection{Interaction Potential}
+%\vspace*{0.3cm}   
+\begin{frame}[t]{Monomer-Monomer Interaction Potential}
+%\vspace*{-0.5cm}
+%  \begin{block}{General Features}
+%\vspace*{-0.4cm}
+    \begin{itemize}
+    \item \textcolor{red}{Repulsion} at short  separations $r\le\sigma$
+      (hard-core repulsion) and \textcolor{red}{attraction} for separations above
+      $\sigma$ 
+      (sticking upon collision).
+\item Simulations performed  with two \textcolor{red}{radial} interaction potentials:  integrated Lennard-Jones
+  potential  (model for the attractive part of \textcolor{red}{Van der Waals}
+  interaction between two spheres,  $\sim r^{-6}$ for $r\gg\sigma$) and with a short-ranged
+  \textcolor{red}{model potential}.        
+%\begin{itemize}
+%\item Potential used in the simulations:
+\end{itemize}
+\vspace*{-.5cm} 
+\begin{figure}  
+\includegraphics[height=5cm, width=9cm]{presentation_potential.pdf} 
+%\caption{show an example picture}
+\end{figure}
+
+     
+
+\end{frame}
+
+
+
+  
+
+%\vspace*{0.3cm}   
+\begin{frame}[t]{Distribution of Aggregate Morphologies} 
+\vspace*{-0.5cm}
+\begin{figure}
+\includegraphics[height=3.5cm, width=0.43\columnwidth]{final2.png}
+\vspace*{0.1cm} 
+\includegraphics[height=3.5cm, width=0.43\columnwidth]{50_monomers_neighbor1_bis.png} 
+%\caption{show an example picture}
+\end{figure} 
+
+\vspace{-0.5cm}
+
+\begin{figure}
+\includegraphics[height=3.5cm, width=0.43\columnwidth]{50_monomers_neighbor2_bis.png} 
+\vspace*{0.1cm} 
+\includegraphics[height=3.5cm, width=0.43\columnwidth]{50_monomers_neighbor3_bis.png} 
+%\caption{show an example picture}
+\end{figure} 
+\end{frame}
+
+
+
+
+\subsection{Determination of the Fractal Dimension}
+\begin{frame}
+\begin{figure}
+\includegraphics[height=5cm, width=5cm]{camera.jpeg} 
+%\caption{show an example picture}
+\end{figure}
+\end{frame}
+
+
+\section{Conclusions}
+%\vspace*{0.3cm}   
+\begin{frame}[t]{Final Remarks}
+  \begin{itemize}
+  \item Simplified 1D model for soot solid nanoparticles (PMP
+    recommendation) $\Rightarrow$ runs on any up-to-date PC within hours.
+\item  Determination of characteristic time-scales.
+\item Different role of agglomeration for Euro4-5 vehicles.
+\item Modelling  complements the experimental information on soot
+  aggregates $\Rightarrow$  theoretical investigation on aggregate
+  structure, mobility and collisional properties.   
+  \end{itemize}
+\end{frame}
+
+   
+
+\end{document}
+
+