jaxrts.static_structure_factors.g_ee_ABD

jaxrts.static_structure_factors.g_ee_ABD(r: Quantity, T_e: Quantity, T_i: Quantity, n_e: Quantity, m_i: Quantity, Z_f: float) → Quantity[source]

The radial electron-electron distribution function, in the approach by Arkhipov, Baimbetov and Davletov [Arkhipov et al., 2000] (Eqn. 17).

The method is using the Random Phase Approximation, treating the problem semi-classically and uses a pseudopotential between charged particles to account for quantum diffraction effects and symmetry.

While the seminal papers treated the electron- and ion temperature to be equal, we follow the work of [Gregori et al., 2006a] to allow for different temperatures of the two components. The results of [Arkhipov and Davletov, 1998] and [Gregori et al., 2003] can be obtained by setting T_e == T_i

Parameters:

  • r (Quantity) – Distance in [length] units.

  • T_e (Quantity) – The electron temperature in Kelvin. Use T_cf_Greg() for the effective temperature used in [Gregori et al., 2003].

  • T_i (Quantity) – The ion temperature in Kelvin.

  • n_e (Quantity) – The electron density in 1/[volume]

  • m_i (Quantity) – The mass of the ion

  • Z_f (float) – Number of free electrons per ion.

Returns:

Quantity – The radial electron-electron distribution function.