Equilibrium profiles along the magnetic field line for the reference model: a) temperature, b) mean atomic weight, c) z-component of the magnetic field, d) pressure, e) density, f) ambipolar diffusion coefficient, g) y-component of the velocity, h) z-component of the velocity, and i) ambipolar heating rate. Results for T₀ = 8000 K, p₀ = 5 × 10⁻³ Pa, B₀ = 10 G and ϕ = 88°. The vertical dashed red lines mark the location of the cool and dense prominence thread of a length, a ≈ 2.56 Mm, as this the distance between the two lines.