  A hydrodynamical description for vortex states in type II superconductors
with no pinning is presented based on the time-dependent GL equation, and the
nonlocal conductivities are examined in terms of Kubo formula. Typically, the
nonlocal conductivities deviate from the usual vortex flow expressions as the
nonlocality parallel to the field becomes weaker than that perpendicular to the
field associated with the freezing to the vortex lattice, and, for instance,
the dc Hall conductivity nonlocal only in directions perpendicular to the field
becomes zero in the vortex lattice due to its infinite shear viscosity. Various
situations are discussed on the basis of the resulting expressions.
