%info@http:://golem.fjfi.cvut.cz/wiki/root/GW4reports


\def\GWslide{
\slide{Lawson criterion \credit{Lawson criterion @ Wiki}{wiki:LawsonCrit}}{
\begin{itemize}
\item To achieve net fusion power, fusion heating must exceed losses:
      \[
      P_{\rm fusion} \ge P_{\rm loss}.
      \]
\item Plasma energy content:
      \[
      W = 3 n k_{\mathrm B} T.
      \]
\item Confinement time links energy to losses:
      \[
      \tau_E = \frac{W}{P_{\rm loss}}.
      \]
\item Fusion reaction rate (DT):
      \[
      f = \frac{1}{4} n^2 \langle \sigma v\rangle,
      \qquad
      P_{\rm fusion}= f\,E_{\alpha}, \qquad E_{\alpha} = 3.5\ \mathrm{MeV}.
      \]
\item Condition for ignition becomes the Lawson criterion:
\[
n \tau_E \ge
\frac{12}{E_{\alpha}}\,
\frac{k_{\rm B}T}{\langle \sigma v\rangle}
\approx
1.5\times 10^{20}\,\mathrm{s/m^3}
\quad
(\text{DT at } T\approx 26\ \mathrm{keV}).
\]
\end{itemize}
}}


\def\GWslideZMB{\slide{Lawson criterion \credit{Lawson criterion @ Wiki}{wiki:LawsonCrit}}{
\begin{itemize}
\item Net power = Efficiency $\times$ (Fusion - Radiation loss - Conduction loss)
\item The confinement time: $\tau_E = \frac{W}{P_{\mathrm{loss}}}$
\item Energy density $W = 3n k_{\mathrm{B}}T$ \& rate of radiation and conduction energy loss per unit volume $P_{\mathrm{loss}}$
\item Reactions per volume per time of fusion reactions is: $f = n_{\mathrm{d}} n_{\mathrm{t}} \langle \sigma v \rangle = \frac{1}{4}n^2 \langle \sigma v\rangle $
\item Fusion heating $f E_{\rm ch}$, where $E_{\rm ch}= 3.5\,\mathrm{MeV}$ should exceeds the losses: $f E_{\rm ch} \ge P_{\rm loss}$
\end{itemize} 
$$n\tau_{\rm E} \ge L \equiv \frac{12}{E_{\rm ch}}\,\frac{k_{\rm B}T}{\langle\sigma v\rangle} \ge 1.5 \cdot 10^{20} \frac{\mathrm{s}}{\mathrm{m}^3}$$ (DT reaction@minimum $\approx$ 26 keV)
}}