%#! platex master_thesis-M2.tex
\chapter{$B5DO@$H7kO@(B}

\section{$B5DO@(B}

(\ref{eq:futousiki}) $B$N@.N)$N2DH]$K$D$$$F<!852r@O$K4p$E$$$F5DO@$7$F$_$k(B.
$B<!852r@O$h$j%(%M%k%.!<;60oGH?t(B $k_{\mathrm{diss}}^{\mathcal{E}}$ $B$H%(%s(B
$B%9%H%m%U%#!<;60oGH?t(B $k_{\mathrm{diss}}^{\mathcal{Q}}$ $B$O$>$l$>$l(B
\begin{align*}
 &k_{\mathrm{diss}}^{\mathcal{E}} \sim
 \left(\frac{\varepsilon}{\nu^3}\right)^{1/22}, \\
 &k_{\mathrm{diss}}^{\mathcal{Q}} \sim
 \left(\frac{\eta}{\nu^3}\right)^{1/24} 
\end{align*}
$B$H$J$k(B. $B$3$3$G(B, $\varepsilon$ $B$O%(%M%k%.!<;60oN((B, $\eta$ $B$O%(%s%9%H%m%U%#(B
$B!<;60oN($G$"$k(B. $BDj>o@-$,@.$jN)$C$F$$$k;~(B, $B%(%M%k%.!<%U%i%C%/%9(B
$\Pi_{\mathrm{E}}$ $B$H%(%s%9%H%m%U%#!<%U%i%C%/%9(B $\Pi_{\mathrm{Q}}$ $B$O$=(B
$B$l$>$l%(%M%k%.!<;60oN($H%(%s%9%H%m%U%#!<;60oN($KEy$7$$$N$G(B, 
\begin{align*}
 \Pi_{\mathrm{E}} = \varepsilon \sim
 (k_{\mathrm{diss}}^{\mathcal{E}})^{22}\,\nu^3, \\
 \Pi_{\mathrm{Q}} = \eta \sim
 (k_{\mathrm{diss}}^{\mathcal{Q}})^{24}\,\nu^3
\end{align*}
$B$H$J$k(B. 
TO03 $B$N<gD%$,@5$7$$$H$9$l$P(B, $B%(%s%9%H%m%U%#!<47@-NN0h$K$*$$$F(B
$k^2\Pi_{\mathrm{E}}-\Pi_{\mathrm{Q}}$ $B$NId9f$,F~$lBX$o$k$N$G(B, $B%(%s%9%H(B
$B%m%U%#!<47@-NN0h$N$"$kGH?t(B $k_c$ $B$G(B
$k_c^2\Pi_{\mathrm{E}}-\Pi_{\mathrm{Q}}=0$ $B$,@.N)$9$k$O$:$G$"$k(B. $B$5$i$K(B,
$k_c$ $B$O%(%M%k%.!<;60oGH?t$h$j$b>.$5$/$J$1$l$P(B, $k^{5/3}$ $B$N%9%Z%/%H%kNN(B
$B0h$O7A@.$5$l$J$$(B. $B$D$^$j(B,
\begin{align*}
 &k_c^2\Pi_{\mathrm{E}}-\Pi_{\mathrm{Q}} = \nu^3\left\{k_c^2
 (k_\mathrm{diss}^{\mathcal{E}})^{22} -
 (k_\mathrm{diss}^{\mathcal{Q}})^{24} \right\} = 0, \\
 \Leftrightarrow\,& k_c =
 \frac{(k_{\mathrm{diss}}^{\mathcal{Q}})^{12}}{(k_{\mathrm{diss}}^{\mathcal{E}})^{11}}
 =
 \left(\frac{k_{\mathrm{diss}}^{\mathcal{Q}}}{k_{\mathrm{diss}}^{\mathcal{E}}}\right)^{12}
 k_{\mathrm{diss}}^{\mathcal{E}} 
\end{align*}
$B$h$j(B, $(k_{\mathrm{diss}}^{\mathcal{Q}}/k_{\mathrm{diss}}^{\mathcal{E}})
< 1$ $B$,@.N)$7$J$/$F$O$J$i$J$$(B, $B8@$$49$($l$P(B,
$k_{\mathrm{diss}}^{\mathcal{Q}} < k_{\mathrm{diss}}^{\mathcal{E}}$ $B$,@.(B
$BN)$7$J$1$l$P$J$i$J$$(B. $B$7$+$7$J$,$i(B, $BK\8&5f$G9T$J$C$??tCM7W;;$G(B
$k_{\mathrm{diss}}^{\mathcal{E}}$ $B$d(B $k_{\mathrm{diss}}^{\mathcal{Q}}$
$B$,Dj5A$G$-$k7W;;$N7k2L$K$D$$$F(B, $k_{\mathrm{diss}}^{\mathcal{Q}} <
k_{\mathrm{diss}}^{\mathcal{E}}$ $B$H$O$J$i$:(B, $B$3$N$h$&$JE@$+$i$b(B
(\ref{eq:futousiki}) $B$,@.N)$7$J$+$C$?$H<gD%$G$-$k(B.  

\section{$B7kO@(B}

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$B$N7A@.2aDx$NIaJW@-$H(B (\ref{eq:futousiki}) $B$N@.N)$N2DH]$K$D$$$F?tCM7W;;$r(B
$BMQ$$$FD4$Y$?(B. 

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$B$,%(%s%9%H%m%U%#!<%+%9%1!<%I$rBn1[$9$kGH?tBS0h$,=P8=$7(B, $B$=$3$G(B
(\ref{eq:futousiki}) $B$,@.N)$9$k(B, $B$H$$$&$b$N$G$"$k(B. $B$=$N!V1#$l$?%(%M%k%.!<(B
$B%+%9%1!<%I!W$,9bGH?tBS0h$K$*$$$F(B $k^{-5/3}$ $B$N%9%Z%/%H%k$r7A@.$9$k$H7kO@IU(B
$B$1$?(B.

$B$7$+$7(B, TO03 $B$G$O(B, $B<($5$l$F$$$k?tCM<B83$N7k2L$N%G!<%?$dGH?t6u4V$K$*$1$k(B
$B2r@O$,IT==J,$G$"$C$?(B. $B$=$3$G(B, $BK\8&5f$G$O(B TO03 $B$N<gD%$NIaJW@-$r?tCM<B83$K(B
$B$h$C$F3N$+$a(B, $BGH?t6u4V$K$*$1$k7O$N@-<A$r2r@O$7$?(B.

$B$^$:(B, $B>eAX$H2<AX$GF1$8G4@-78?t$rM?$($F7W;;$7$?$H$3$m(B, $B1#$l$?%(%M%k%.!<%+(B
$B%9%1!<%I$OB8:_$9$k$b$N$N(B, N-G $B%9%Z%/%H%k$O:F8=$5$l$:(B, $B9bGH?tBS0h$G(B
(\ref{eq:futousiki}) $B$O@.N)$7$J$+$C$?(B. $B<!$K(B,Gkoulekas (2014) $B$G(B
(\ref{eq:futousiki}) $B$N@.N)$N2DG=@-$,<(:6$5$l$?(B, $B>eAX$H2<AX$GG4@-78?t$,(B
$B0[$J$k>l9g$K$D$$$F7W;;$r9T$C$?(B. $B2<AX$NG4@-78?t$,%<%m$N>l9g$K(B N-G $B%9%Z%/(B
$B%H%k$K;w$?%9%Z%/%H%k$,7A@.$5$l$?$,(B, $B;60oGH?t$^$G2rA|$5$l$F$*$i$:(B, $B7k2L$N(B
$B?.Mj@-$OK3$7$$(B. $B2<AX$N$[$&$,G4@-78?t$,6/$$>l9g$O(B, $B$$$:$l$b>eAX$H2<AX$GF1(B
$B$8G4@-78?t$rM?$($?>l9g$H7k2L$N798~$OJQ$o$i$J$+$C$?(B. 

$B?t3XE*$K(B (\ref{eq:futousiki}) $B$r<($9$3$H$O$G$-$J$$$?$a(B, $B?tCM<B83$K$h$C$F(B
(\ref{eq:futousiki}) $B$r8!>Z$7$?$3$H$,K\8&5f$N0U5A$G$"$k(B. $B7kO@$H$7$F(B,
TO03 $B$GDs>'$5$l$?%a%+%K%:%`$O=`CO9U(B 2 $BAX%b%G%k$K$*$1$kIaJWE*$J$b$N$G$O$J(B
$B$$$3$H$,3N$+$a$i$l(B, (\ref{eq:futousiki}) $B$N@.N)$K$D$$$F$bIaJWE*$J@-<A$G(B
$B$OL5$$$3$H$,$o$+$C$?(B. $B$7$+$7(B, $B$3$N7k2L$O=`CO9U(B 2 $BAX%b%G%k$G(B N-G $B%9%Z%/(B
$B%H%k$,7A@.$5$l$k$3$H$d(B (\ref{eq:futousiki}) $B$,@.N)$9$k$3$H$NH]Dj$G$O$J$$(B.
$B>e5-(B 2 $BE@$,@.N)$9$k2DG=@-$NM-L5$H@.N)$9$k>l9g$N>r7o$r8!>Z$9$k$3$H$O:#8e(B
$B$N2]Bj$G$"$k(B. 

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