Vj. Pizzo et al., A NUMERICAL-SIMULATION OF 2-DIMENSIONAL RADIATIVE EQUILIBRIUM IN MAGNETOSTATIC FLUX TUBES .2. COMPUTATIONAL RESULTS, The Astrophysical journal, 413(2), 1993, pp. 764-777
We apply a recently developed numerical procedure for obtaining self-c
onsistent radiative and mechanical equilibria of solar magnetostatic f
lux tubes. The tubes are modeled as localized but continuous field con
centrations in a two-dimensional slab geometry, and the radiation is t
reated in the LTE limit. The reduced opacities in the tube (stemming f
rom the lower gas pressures required for mechanical force balance) lea
d to the lateral intrusion of radiative flux into the tube, with subse
quent modification of the internal atmosphere. Our calculations show t
hat the effect is negligible, however, when the diameter of the tube e
xceeds the scale height of the atmosphere in the surface layers (d gre
ater than or similar to 100 km) or if convective energy transport in t
he tube is itself sufficient to produce a thermal stratification close
to that in the surrounding photosphere. That is, two-dimensional radi
ative effects are likely to be important only in small tubes in which
the upward convective energy flux is strongly suppressed. The treatmen
t of the underlying convective layers appears to be of paramount impor
tance in determining the computed surface properties.