jaxrts.hnc_potentials.KelbgPotential.full_r

KelbgPotential.full_r(plasma_state, r: Quantity) Quantity[source]
\[V_{a b}^{\mathrm{Kelbg}}(r) = \frac{q_{a}q_{b}}{4 \pi \varepsilon_0 r} \left[1-\exp\left(-\frac{r^2}{\lambda_{a b}^2}\right) + \frac{\sqrt\pi r}{\lambda_{a b}} \left(1-\mathrm{erf} \left(\frac{r}{\lambda_{a b}}\right) \right) \right]\]

In the above equation, \(\mathrm{erf}\) is the Gaussian error function.

For \(r\rightarrow 0: V_{a b} \rightarrow \frac{q_{a}q_{b}\sqrt{\pi}}{4 \pi \varepsilon_0 \lambda_{a b}}\).

Examples using jaxrts.hnc_potentials.KelbgPotential.full_r

HNC: Electron-Ion Potentials

HNC: Electron-Ion Potentials

Static structure factor of the electron-ion system

Static structure factor of the electron-ion system