diff options
Diffstat (limited to 'content/know/concept/coulomb-logarithm')
| -rw-r--r-- | content/know/concept/coulomb-logarithm/index.pdc | 9 |
1 files changed, 6 insertions, 3 deletions
diff --git a/content/know/concept/coulomb-logarithm/index.pdc b/content/know/concept/coulomb-logarithm/index.pdc index 649806b..71b13a8 100644 --- a/content/know/concept/coulomb-logarithm/index.pdc +++ b/content/know/concept/coulomb-logarithm/index.pdc @@ -143,8 +143,8 @@ We know that the deflection grows for smaller $b$, so it would be reasonable to choose $b_\mathrm{large}$ as the lower limit. For very large $b$, the plasma shields the particles from each other, thereby nullifying the deflection, -so as upper limit -we choose the Debye length $\lambda_D$, +so as upper limit we choose +the [Debye length](/know/concept/debye-length/) $\lambda_D$, i.e. the plasma's self-shielding length. We thus find: @@ -157,12 +157,15 @@ $$\begin{aligned} \end{aligned}$$ Here, $\ln\!(\Lambda)$ is known as the **Coulomb logarithm**, -with $\Lambda$ defined as follows: +with the **plasma parameter** $\Lambda$ defined below, +equal to $9/2$ times the number of particles +in a sphere with radius $\lambda_D$: $$\begin{aligned} \boxed{ \Lambda \equiv \frac{\lambda_D}{b_\mathrm{large}} + = 6 \pi n \lambda_D^3 } \end{aligned}$$ |