Smarticles_writeups/smartEngin.tex at master · pchvykov/Smarticles_writeups · GitHub

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%Pavel Chvykov


% ***********************************************************
% ******************* MY HEADER ************************
% ***********************************************************
\documentclass[11pt]{article}
%\documentclass[prb]{revtex4-1}
%\documentclass[twocolumn,showpacs,preprintnumbers,amsmath,amssymb,superscriptaddress]{revtex4-1}
%\usepackage[greek, english]{babel}

\usepackage{amsmath} % AMS Math Package
\usepackage{amsthm} % Theorem Formatting
\usepackage{amssymb}	% Math symbols such as \mathbb
\usepackage[pdftex]{graphicx}
\usepackage{epstopdf}
\usepackage{enumerate}
%\usepackage{multicol} % Allows for multiple columns
\usepackage{wrapfig}
\usepackage[dvips,letterpaper,margin=1in,bottom=1in]{geometry}
\usepackage{color}
\usepackage{tensind}
\tensordelimiter{`}
\whenindex{a}{\alpha}{} \whenindex{b}{\beta}{} \whenindex{g}{\gamma}{} \whenindex{d}{\delta}{} \whenindex{e}{\varepsilon}{} \whenindex{m}{\mu}{} \whenindex{n}{\nu}{} \whenindex{l}{\lambda}{} \whenindex{k}{\kappa}{} \whenindex{r}{\rho}{} \whenindex{s}{\sigma}{} \whenindex{t}{\tau}{}
\usepackage{todonotes}
\usepackage{subcaption}
% % Sets margins and page size
%\pagestyle{empty} % Removes page numbers
\usepackage{setspace}
%\onehalfspacing
%\setstretch{1.1}
\usepackage{comment}
\usepackage{cancel}
%\usepackage{xfrac}
\usepackage[]{units}

\usepackage{hyperref}
\usepackage[all]{hypcap}
\makeatletter % Need for anything that contains an @ command

%\renewcommand{\maketitle} % Redefine maketitle to conserve space
%{ \begingroup \vskip 10pt \begin{center} \Large {\bf \@title}
%		\vskip 10pt \large \@author \\ \@date \end{center}
%		\vskip 10pt \endgroup \setcounter{footnote}{0} }


%\makeatother % End of region containing @ commands
%\renewcommand{\labelenumi}{(\alph{enumi})} % Use letters for enumerate
% \DeclareMathOperator{\Sample}{Sample}
\let\vaccent=\v % rename builtin command \v{} to \vaccent{}
\renewcommand{\v}[1]{\ensuremath{\vec{#1}}} % for vectors
\newcommand{\gv}[1]{\ensuremath{\mbox{\boldmath$ #1 $}}}
% for vectors of Greek letters
\newcommand{\uv}[1]{\ensuremath{\mathbf{\hat{#1}}}} % for unit vector
\newcommand{\abs}[1]{\left| #1 \right|} % for absolute value
\newcommand{\avg}[1]{\left< #1 \right>} % for average
\let\underdot=\d % rename builtin command \d{} to \underdot{}
\renewcommand{\d}[2]{\frac{d #1}{d #2}} % for derivatives
\newcommand{\dd}[2]{\frac{d^2 #1}{d #2^2}} % for double derivatives
\newcommand{\pd}[2]{\frac{\partial #1}{\partial #2}}
% for partial derivatives
\newcommand{\pdd}[2]{\frac{\partial^2 #1}{\partial #2^2}}
% for double partial derivatives
\newcommand{\pdc}[3]{\left( \frac{\partial #1}{\partial #2}
\right)_{#3}} % for thermodynamic partial derivatives
\newcommand{\fd}[2]{\frac{\delta #1}{\delta #2}} %functional derivative
\newcommand{\fdd}[3]{\frac{\delta^2 #1}{\delta #2 \delta #3}} %second functional derivative
\newcommand{\ket}[1]{\left| #1 \right>} % for Dirac bras
\newcommand{\bra}[1]{\left< #1 \right|} % for Dirac kets
\newcommand{\braket}[2]{\left< #1 \vphantom{#2} \right|
\left. #2 \vphantom{#1} \right>} % for Dirac brackets
\newcommand{\matrixel}[3]{\left< #1 \vphantom{#2#3} \right|
#2 \left| #3 \vphantom{#1#2} \right>} % for Dirac matrix elements
\newcommand{\grad}{\nabla} % for gradient
\let\divsymb=\div % rename builtin command \div to \divsymb
\renewcommand{\div}[1]{\gv{\nabla} \cdot #1} % for divergence
\newcommand{\curl}[1]{\gv{\nabla} \times #1} % for curl
\newcommand{\tr}{\mbox{Tr}}
\let\baraccent=\= % rename builtin command \= to \baraccent
\renewcommand{\=}[1]{\stackrel{#1}{=}} % for putting numbers above =
\renewcommand{\deg}{^{\circ}} %degree simbol
\renewcommand{\(}{\left (}
\renewcommand{\)}{\right  )}
\renewcommand{\[}{\left [}
\renewcommand{\]}{\right ]}
\newcommand{\<}{\left <}
\renewcommand{\>}{\right >}

\newtheorem{prop}{Proposition}
\newtheorem{thm}{Theorem}[section]
\newtheorem{lem}[thm]{Lemma}
\theoremstyle{definition}
\newtheorem{dfn}{Definition}
\theoremstyle{remark}
\newtheorem*{rmk}{Remark}
\newtheorem{?}{\textbf{Question}}

\newcommand{\e}[1]{\mbox{e}^{#1}} %exponential
\renewcommand{\exp}[1]{\mbox{exp}\[#1\]} %exponential
\newcommand{\intmom}[2][4]{\int \frac{d^{#1} #2}{(2\pi)^{#1}}} % 4D momentum integral
\newcommand{\intfn}{\int \mathcal{D}} %functional integral
\newcommand{\D}{\mathcal{D}}
\newcommand{\bigO}[1]{O(#1)}  %order of (big O notation)
\newcommand{\Op}{\mathcal{O}}  %operator
\newcommand{\im}{i}  %imaginary
\renewcommand{\todo}[1]{\textit{\color{red}[#1]}}
\newcommand{\um}{$ \mathrm{\mu} $m}
\renewcommand{\inf}{\infty}
\newcommand{\with}{\quad \text{with} \quad}
% ***********************************************************
% ********************** END HEADER *************************
% ***********************************************************

\begin{document}
		\title{Non-equilibrium dynamics as polymer conformations}

		\author{Pavel Chvykov\\
			MIT Physics of living systems; adviser: Jeremy England} %\thanks{pchvykov@mit.edu}

		\maketitle


\tableofcontents

\begin{itemize}
	\item Introduction
	\item smarticle collectives
	\item controlling collective
	\item predicting collective (non-Markov run and tumble)
	\item
\end{itemize}

\section{Introduction}
\section{Smarticles}

%\nocite{*}
\bibliographystyle{unsrt}
\bibliography{../_data/14654301E131WECPZ6ZSATT3H7YHJ7G6D2E8/default_files/non-equilibSM}

\end{document}