Using Dendrograms to Determine Sonic and Alfvén Mach number in MHD Turbulence

Details Using Dendrograms to Determine Sonic and Alfvén Mach number in MHD Turbulence Using Dendrograms to Determine Sonic and Alfvén Mach number in MHD Turbulence

Publishing date

May 2010

URL

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aas...21642401b&link_type=abstract

Journals

American Astronomical Society, AAS Meeting #216, #424.01; Bulletin of the American Astronomical Society, Vol. 41, p.836

Science

Other

Type

Scientific paper

Abstract

We used hierarchical tree diagrams known as dendrograms to characterize isothermal MHD turbulence with a wide variety of compressibility and magnetization. We find that the distribution of local maxima of emission have statistical dependencies on sonic and Alfvén Mach numbers. In particular we see a rather strong dependence on Alfvén Mach number with mean and
variance of the dendrogram especially for the cases were we also have a large sonic Mach number. Two methods for looking at dendrograms are explored which are defined in respect to the one parameter (delta) of the dendrogram which sets the definition of local maximum. Method 1 holds delta constant for all data while Method 2 varies delta and looks at deviations in the distributions Gaussian asymmetry. Concerning Method 2, we find that higher order moments are also dependent on compressibility and magnetization and, when the tree diagram is well sampled, are generally independent of spacial resolution. Both methods should be used in order to get fully reliable measures of turbulence parameters from the dendrogram.
BB is funded by the NSF Graduate Research Fellowship

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