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+%% This is an example of a TeX file with formats
+%% included into the header of the document.
+%% To run it you have to do something like:
+%% biblio.pl -o 2sorts_formats.1.tex -d refers.db 2sorts_formats.tex
+%% or
+%% biblio.pl -o 2sorts_formats.1.tex -d refers.db --nobibitem --uselist 2sorts_formats.tex
+%% if you want a really well formatted citation list
+%% and then
+%% latex 2sorts_formats.1.tex
+%% to get 2sorts_formats.1.dvi
+
+%%------------------------------------------------------
+
+%% this is copyed from the template for Macromolecules
+%% no ordering of the references is needed. Otherwise add line
+%% '%ordering= AUTHORL'
+
+%begin{biblio}
+
+%cite_format={(%s)}
+%ref_format=${^{%s}}$
+
+%% normal article:
+% ARTICLE [$AUTHOR0P~L,~F~M; $ {\it $JOURNAL$} {\bf $YEAR$}, {\it $VOL$}, $PAGE$.]
+
+%% article which is submitted or accepted
+% ARTICLE0[$AUTHOR0P~L,~F~M; $ {\it $JOURNAL$} $STATE$.]
+
+%% normal book
+% BOOK [$AUTHOR0P~L,~F~M; $ {\it $TITLE$}; $PUBL$: $PLACE$, $YEAR$.]
+
+%% article in a book AUTHORE, AUTHORG and AUTHORH - last, first
+%% and middle names of the editor
+% EDBOOK [$AUTHOR0P~L,~F~M; $ in {\it $BOOKTITLE$}, edited by $AUTHOR0I~E,~G~H;$; $PUBL$: $PLACE$, $YEAR$.]
+
+%% article in a book without editor
+% INBOOK [$AUTHOR0P~L,~F~M; $ in {\it $BOOKTITLE$}, p.$PAGE$ $PUBL$: $PLACE$, $YEAR$.]
+
+% EPRINT [$AUTHOR0P~L,~F~M; $ in {\it $BOOKTITLE$} $INFO$, $YEAR$.]
+
+%% Thesis
+% THESIS [$AUTHOR0P~L,~F~M; $ {\it $SORT$}; $UNIV$: $PLACE$, $YEAR$.]
+
+%end{biblio}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%REAL DOCUMENT STARTS HERE!!!!
+
+\documentstyle[aps,manuscript]{revtex}
+
+\title{Comb copolymer brush with chemically different side chains}
+\date{\today}
+%-----------------------------------------------
+
+\newcommand{\vA}{v_{AA}}
+\newcommand{\vB}{v_{BB}}
+\newcommand{\vAB}{v_{AB}}
+\newcommand{\vx}{v}
+\newcommand{\mnu}{\nu}
+\newcommand{\khi}{\chi}
+\newcommand{\dd}{\partial}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\begin{document}
+
+\maketitle
+%--------------------------------------------------
+
+\begin{abstract}
+An investigation of side chain microphase separation
+within a single comb copolymer molecule containing chemically different
+$A$ and $B$ side chains has been carried out. Expressions for the
+transition point $\chi_{AB}^*$ in a
+good ($\chi_{AB}^* \sim N^{-3/8}$),
+marginal ($\chi_{AB}^* \sim N^{-1/2}$),
+$\theta$ ($\chi_{AB}^* \sim N^{-2/3}$),
+and poor ($\chi_{AB}^* \sim N^{-1}$)
+solvent are derived
+both by a mean field calculation and by scaling arguments.
+Properties of the system below and above the transition point are
+described.
+Some unusual ``bow-like'' conformations are predicted for a single
+molecule in the microphase separated state in a good solvent.
+\end{abstract}
+%--------------------------------------------------
+\section{Introduction}
+
+The conformational characteristics of individual comb copolymers with a
+high grafting density of side chains in solution has been addressed in a
+series of theoretical papers
+\cite{Birshtein,WangSafran,Fredrickson,Rouault1,3dFlex,3dRigid,Potemkin,2dComb}
+to begin with the original work of
+Birshtein et al \cite{Birshtein}.
+Irrespective of the solvent quality, be it a good
+solvent or a $\theta$-solvent, all theories predict a cylindrical
+brush-like structure for sufficiently long side chains. The pertinent
+parameters are the side chain grafting density, the side chain length,
+the intrinsic stiffness of the backbone and the side chains (the
+respective Kuhn segments) and the solvent quality with respect to the
+side chains and the backbone. The conformation is characterized by a
+number of quantities, the persistence length of the comb copolymer brush
+being most important. For sufficiently long side chains the persistence
+length is predicted to exceed the backbone length, thus resulting in a
+characteristic cylindrical "bottle-brush" structure. Subsequent computer
+simulations using a freely jointed hard sphere model essentially
+confirmed this picture
+\cite{Mika4,BrinkeIkkala,Rouault2,Mika1,Mika3,Mika2}.
+
+The experimental investigation of comb copolymers with a high grafting
+density has assumed large proportions after the successful
+polymerization of macromonomers, yielding degrees of polymerization
+significantly exceeding the length of the macromonomer itself, by
+Tsukahara and coworkers
+\cite{Tsukahara2,Tsukahara3,Schmidt,Tsukahara0}.
+Besides polymerization of macromonomers
+alternative routes have been developed recently using grafting from a
+macroinitiator prepared by either atom-transfer radical polymerization
+\cite{Beers1}
+or by living cationic polymerization
+\cite{Schappacher}.
+Using atom transfer
+radical polymerization molecular brushes with block copolymer side
+chains have been prepared as well.
+
+The experimental characterization of the comb copolymer brush
+conformation in dilute solution is a highly nontrivial issue. It was
+achieved recently by Schmidt and co-workers
+\cite{Borner1,Wintermantel1,Wintermantel2,Wintermantel3,DziezokSheiko,Sheiko,GerleRoos,FischerGerleSchmidt}
+using a combination
+of light scattering experiments and theoretical modeling. Since the high
+grafting density is supposed to lead to a stiff molecular structure, the
+modeling has been based on the Kratky-Porod worm-like chain model.
+For high molar mass polymacromonomers based on methacryloyl
+end-functionalized oligo methacrylates ($M_n = 2410~g/mole$) in the good
+solvent THF, the Kuhn statistical segment length, which is twice the
+persistence length, turned out to be $120~nm$. For polymacromonomers
+($M_n = 3624~g/mole$) consisting of polystyrene main and side chains this
+value was $190~nm$ in the good solvent toluene and $120~nm$ in the
+"$\theta$-solvent" cyclohexane.
+
+At the same time one of the most challenging problems in
+the polymer physics is a description of a microphase
+formation in copolymer systems.
+Theoretically, self-organization in block copolymer systems has
+attracted
+a lot of attention during the last decades and a fairly complete picture
+has emerged for the
+relatively simple diblock copolymers.
+\cite{Helfand1,Semenov,Leibler,FredricksonHelfand}
+As a consequence, the interest gradually shifts towards more
+complicated architectures such as comb or graft copolymers
+\cite{Dobrynin1,Cruz1,Foster1,WernerFredrickson,Nap1}.
+The discussion of structure formation in comb copolymers using the weak
+segregation limit has been presented in some detail. Compared to diblock
+copolymers the description is only slightly complicated by the fact that
+the single chain correlation functions are more involved. Phase diagrams
+of various comb copolymer systems have been published. Although
+different in details, the general trends are the same as for diblock
+copolymers. Of course, rather than the overall chain length, it is the
+length of the "repeat unit" that determines the order-disorder
+transition temperature as well as the characteristic length scale of the
+ordered structures.
+
+The application of the weak segregation approach, however, requires a
+relatively low
+grafting density such that the distance between two
+consecutive grafting points along the backbone is at least of the order
+of the Flory radius of the side chains. If the grafting density of comb
+copolymers is very high, the structure in the melt will usually involve
+segregation between individual molecules. Even if the incompatibility
+between backbone and side chains is high, the high grafting density may
+well prevent segregation of several backbones. Furthermore, a high
+grafting density combined with long side chains implies the volume
+fraction of the backbone to be of the order of 0.1 or lower, not
+necessarily the most interesting part of the melt phase diagram.
+
+Still, microphase separation may occur provided chemically different
+side chains are used. In this case unfavorable interaction between the
+side chains may lead to a micro domain
+structure within a single molecule. The present paper is devoted to this
+subject.
+The main objective is to identify conditions for "microphase separation"
+of side chains of two
+different types within a single comb copolymer molecule under different
+solvent conditions.
+
+The paper is organized as follows. The next section describes the
+self-consistent field approach to a molecule with a straight
+backbone and chemically different side chains. We show the possibility
+of side chain separation
+within the molecule and discuss the limits of the theory's
+applicability.
+The subsequent section is devoted to possible unusual behavior
+of comb copolymer molecules with a flexible backbone and
+microphase separated side chains. Then all results are summarized and
+discussed in the last section.
+
+%-------------------------------------------
+\section{Useful literature (not from the article)}
+Very interesting and useful books on this subject (polymers) are
+\cite{bookdeGennesScalingConcepts,GrosKhokh,bookCloizeaux} or more specific
+books devoted to peculiarities if comb copolymers behavior
+\cite{bookPlate,bookMcArdle}.
+Still unpublished works, like \cite{FischerSchmidt}, can be very helpful too.
+
+Thesis \cite{thesisHyvarinen} is a good reading too!
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{references}
+
+
+\end{references}
+
+
+
+
+
+\end{document} \ No newline at end of file