The Velocity Field and the Spatial Distribution of the “Hot Spots” in Methanol Masers: a Statistical Study

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We used available interferometric maps to study statistical properties of the velocity filed and spatial distribution of the observed “hot spots” in three Class I and one Class II methanol maser sources. In most sources, both the velocity difference between the pairs of spots and the average density of the neighbors to a spot are adequately represented by a power law function of the spot separation. Both dependences can be interpreted as manifestation of a turbulent flow, although the total range of spot separation is not large enough to exclude other interpretations. The formal average fractal dimension of the observed spatial distribution of maser spots is 1.2+/-0.4 for the Class I sources and 1.8+/-0.3 for the Class II source. These low values of fractal dimension can be a manifestation of strong intermittency of the underlying turbulence, but the limited range of the mapped spatial scales does not allow us to exclude clustering of hot spots imitating low fractal dimension by a maser amplification in a homogeneous turbulent medium. For the Class I sources, the average slope of the velocity correlation function, measured over the whole range of spot separations, is 0.65+/-0.13, and for the Class II source it is 0.54+/-0.08. These values are significantly higher than the classical Kolmogorov value of 1/3 for the initial subrange of incompressible turbulence, which may indicate considerable dissipation of turbulent energy on all the scales probed by methanol masers. This project was supported by the NSF/REU grant AST-0354056 and the Nantucket Maria Mitchell Association.

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