  We use the self-consistent Hartree-Fock approximation for numerically
addressing the integer quantum Hall (IQH) regime in terms of many-body physics
at higher Landau levels (LL). The results exhibit a strong tendency to avoid
the simultaneous existence of partly filled spin-up and spin-down LLs. Partly
filled LLs appear as a mixture of coexisting regions of full and empty LLs. We
obtain edge stripes with approximately constant filling factor $\nu$ close to
half-odd filling at the boundaries between the regions of full and empty LLs,
which we explain in terms of the $g$-factor enhancement as a function of a
locally varying $\nu$ across the compressible stripes.The many-particle
interactions follow a behaviour as it would result from applying Hund's rule
for the occupation of the spin split LLs. The screening of the disorder and
edge potential appears significantly reduced as compared to screening based on
a Thomas-Fermi approximation. For addressing carrier transport, we use a
non-equilibrium network model (NNM) that handles the lateral distribution of
the experimentally injected non-equilibrium chemical potentials $\mu$.
