Landau damping
Landau damping¶
\[
f_0 = (1+\varepsilon \sum_j \cos(k_jx_j)) /\sqrt{2\pi} (\exp(-0.5\|\mathbf{v}\|^2))
\]
Linear Landau damping: \(k_x=0.5\), \(\varepsilon = 0.01\)
Non-linear Landau damping: \(k_x =0.5\), \(\varepsilon = 0.5\)
Linear Landau damping: \(k_x=0.5\), \(\varepsilon = 0.01\)
Non-linear Landau damping: \(k_x =0.5\), \(\varepsilon = 0.5\)