Exploring the pertubed Milky Way disk and the substructures of the outer
  disk
  The recent discovery of a spiral feature in $Z-V_Z$ phase plane in the solar
neighborhood implies that the Galactic disk has been remarkably affected by a
dwarf galaxy passing through it some hundreds of millions of years ago. Using
429,500 LAMOST K giants stars, we show that the spiral feature exits not only
in the solar vicinity; it also extends to about 15 kpc from the Galactic
center, and then disappears beyond this radius. Moreover, we find that when the
spiral features in a plot of $V_\phi$ as a function of position in the $Z-V_Z$
plane, at various Galactocentric radii, are re-mapped to $R-Z$ plane, the
spiral can explain well the observed asymmetric velocity substructures. This is
evidence that the phase spiral features are the same as the bulk motions found
in previous as well as this work. Test-particle simulations and N-body
simulations show that an encounter with a dwarf galaxy a few hundred million
years ago will induce a perturbation in the Galactic disk. In addition, we find
that the last impact of Sgr dSph can also contribute to the flare. As a
consequence of the encounter, the distribution function of disk stars at a
large range of radii is imprinted by the gravitational perturbation.
