  In this work, the Milburn intrinsic decoherence model is used to investigate
the role of spin-spin Heisenberg XYZ interaction supported by spin-orbit
Dzyaloshinsky Moriya (DM) interactions of x and y directions together in the
non-local correlation (NLC) dynamics of Local quantum Fisher information
(LQFI), local quantum uncertainty (LQU), and Log-negativity's entanglement. The
two-qubit Heisenberg XYZ (non-X) states' nonlocal correlation generations are
explored under the effects of the uniformity and the inhomogeneity of an
applied x-direction external inhomogeneous magnetic field (EIMF). Our
meticulous exploration of the obtained results shows that the spin-spin
Heisenberg XYZ and x,y-spin-orbit interactions have a high capability to raise
non-local correlations in the presence of a weak external magnetic field. The
raised non-local correlation can be improved by strengthening the spin-spin and
x,y spin-orbit interactions and increasing the EIMF's inhomogeneity and
uniformity. Non-local correlation oscillations' amplitudes and fluctuations are
increased. The degradations of the NLCs' generations in the presence of
intrinsic decoherence (NLCs' robustness against intrinsic decoherence) can be
decreased by strengthening the spin-spin interactions. They can be increased by
increasing the intensities of x,y spin-orbit interactions as well as increasing
the EIMF's inhomogeneity and uniformity.
