V. Carbone et S. Savaglio, MULTIFRACTAL STRUCTURE OF LY-ALPHA CLOUDS - AN EXAMPLE WITH THE SPECTRUM OF QSO-0055-26, Monthly Notices of the Royal Astronomical Society, 282(3), 1996, pp. 868-872
Ly alpha forests are usually associated with intergalactic gas clouds
intercepting the quasar sight line. Using as an example the Ly alpha f
orest of QSO 0055 - 26 (z(em) = 3.66), we show that the probability of
observing a line at the velocity difference Delta v has an intermitte
nt structure in redshift space. On small scales (70 less than or equal
to Delta v less than or equal to 1580 km s(-1)) the signature of inte
rmittency appears as a self-similar structure of spikes systematically
visible at the same redshift on all scales. This behaviour can be int
erpreted as being the presence of clustering of the Ly alpha lines, wh
ich appear as singularities of the density of the probability measure.
From a direct measurement of the generalized dimensions, we show that
the intermittency can be described by a multifractal structure which
is due to a Fourier phase correlation of the signal. The multifractal
structure disappears at scales larger than Delta upsilon similar or eq
ual to 1580 km s(-1).