We use unpublished and published VLBI results to investigate the geometry and
the statistical properties of the velocity field traced by H2O masers in five
galactic regions of star formation -- Sgr B2(M), W49N, W51(MAIN), W51N, and
W3(OH). In all sources the angular distribution of the H2O hot spots
demonstrates approximate self-similarity (fractality) over almost four orders
of magnitude in scale, with the calculated fractal dimension d between
(approximately) 0.2 and 1.0. In all sources, the lower order structure
functions for the line-of-sight component of the velocity field are
satisfactorily approximated by power laws, with the exponents near their
classic Kolmogorov values for the high-Reynolds-number incompressible
turbulence. These two facts, as well as the observed significant excess of
large deviations of the two-point velocity increments from their mean values,
strongly suggest that the H2O masers in regions of star formation trace
turbulence. We propose a new conceptual model of these masers in which maser
hot spots originate at the sites of ultimate dissipation of highly supersonic
turbulence produced in the ambient gas by the intensive gas outflow from a
newly-born star. Due to the high brightness and small angular sizes of masing
hot spots and the possibility of measuring their positions and velocities with
high precision, they become a unique probe of supersonic turbulence.Comment: 40 pages with 14 total figures (figures 9 and 10 are multi-part)
Accepted for publication ApJ, December 20, 2002, Vol. 581, n