  The chromosphere of the quiet Sun is a highly intermittent and dynamic
phenomenon. Three-dimensional radiation (magneto-)hydrodynamic simulations
exhibit a mesh-like pattern of hot shock fronts and cool expanding post-shock
regions in the sub-canopy part of the inter-network. This domain might be
called "fluctosphere". The pattern is produced by propagating shock waves,
which are excited at the top of the convection zone and in the photospheric
overshoot layer. New high-resolution observations reveal a ubiquitous
small-scale pattern of bright structures and dark regions in-between. Although
it qualitatively resembles the picture seen in models, more observations - e.g.
with the future ALMA - are needed for thorough comparisons with present and
future models. Quantitative comparisons demand for synthetic intensity maps and
spectra for the three-dimensional (magneto-)hydrodynamic simulations. The
necessary radiative transfer calculations, which have to take into account
deviations from local thermodynamic equilibrium, are computationally very
involved so that no reliable results have been produced so far. Until this task
becomes feasible, we have to rely on careful qualitative comparisons of
simulations and observations. Here we discuss what effects have to be
considered for such a comparison. Nevertheless we are now on the verge of
assembling a comprehensive picture of the solar chromosphere in inter-network
regions as dynamic interplay of shock waves and structuring and guiding
magnetic fields.
