  The Axion Dark Matter eXperiment (ADMX) has previously excluded
Dine-Fischler-Srednicki-Zhitnisky (DFSZ) axions between 680-790 MHz under the
assumption that the dark matter is described by the isothermal halo model.
However, the precise nature of the velocity distribution of dark matter is
still unknown, and alternative models have been proposed. We report the results
of a non-virialized axion search over the mass range 2.81-3.31 {\mu}eV,
corresponding to the frequency range 680-800 MHz. This analysis marks the most
sensitive search for non-virialized axions sensitive to Doppler effects in the
Milky Way Halo to date. Accounting for frequency shifts due to the detector's
motion through the Galaxy, we exclude cold flow relic axions with a velocity
dispersion of order 10^-7 c with 95% confidence.
