jaxrts.ionization.gen_balance_equation

jaxrts.ionization.gen_balance_equation(part_i: float | Array, part_j: float | Array, T_e: Quantity, n_e: Quantity, chem_pot: Quantity) → Quantity[source]

Generic balance relation expressed in terms of partition functions.

The energy dependence is already folded into part_i and part_j (e.g. Planck-Larkin sums), so no explicit Boltzmann factor for \(\Delta E\) appears here:

\[\frac{n_{i+1}n_e}{n_i} = \frac{u_{i+1}}{u_i} n_e \exp(-\mu / k_B T_e})\]
Parameters:

  • part_i (array-like) – Partition functions of adjacent charge states.

  • part_j (array-like) – Partition functions of adjacent charge states.

  • T_e (Quantity) – Electron temperature.

  • n_e (Quantity) – Free-electron density.

  • chem_pot (Quantity) – Electron chemical potential \(\mu\).

Returns:

n_j / n_i * n_e (Quantity) – The ratio of the population of the two states, multiplied with the free-electron density.