  We investigate the roles of different environmental models on quantum
correlation dynamics of two-qubit composite system interacting with two
independent environments. The most common environmental models (the
single-Lorentzian model, the squared-Lorentzian model, the two-Lorentzian model
and band-gap model) are analyzed. First, we note that for the weak coupling
regime, the monotonous decay speed of the quantum correlation is mainly
determined by the spectral density functions of these different environments.
Then, by considering the strong coupling regime we find that, contrary to what
is stated in the weak coupling regime, the dynamics of quantum correlation
depends on the non-Markovianity of the environmental models, and is independent
of the environmental spectrum density functions.
