Structure Function Scaling in Compressible Super-Alfvénic MHD Turbulence. Padoan, P., Jimenez, R., Nordlund, Å., & Boldyrev, S. Physical Review Letters, 92:191102, May, 2004.
Structure Function Scaling in Compressible Super-Alfvénic MHD Turbulence [link]Paper  doi  abstract   bibtex   
Supersonic turbulent flows of magnetized gas are believed to play an important role in the dynamics of star-forming clouds in galaxies. Understanding statistical properties of such flows is crucial for developing a theory of star formation. In this Letter we propose a unified approach for obtaining the velocity scaling in compressible and super-Alfvénic turbulence, valid for the arbitrary sonic Mach number, MS. We demonstrate with numerical simulations that the scaling can be described with the She-Lévêque formalism, where only one parameter, interpreted as the Hausdorff dimension of the most intense dissipative structures, needs to be varied as a function of MS. Our results thus provide a method for obtaining the velocity scaling in interstellar clouds once their Mach numbers have been inferred from observations.
@article{padoan_structure_2004,
	title = {Structure {Function} {Scaling} in {Compressible} {Super}-{Alfvénic} {MHD} {Turbulence}},
	volume = {92},
	issn = {0031-9007},
	url = {http://adsabs.harvard.edu/abs/2004PhRvL..92s1102P},
	doi = {10.1103/PhysRevLett.92.191102},
	abstract = {Supersonic turbulent flows of magnetized gas are believed to play an important role in the dynamics of star-forming clouds in galaxies. Understanding statistical properties of such flows is crucial for developing a theory of star formation. In this Letter we propose a unified approach for obtaining the velocity scaling in compressible and super-Alfvénic turbulence, valid for the arbitrary sonic Mach
number, MS. We demonstrate with numerical simulations that the scaling can be described with the She-Lévêque
formalism, where only one parameter, interpreted as the Hausdorff dimension of the most intense dissipative structures, needs to be varied as a function of MS. Our results thus provide a method for obtaining the velocity scaling in interstellar clouds once their Mach numbers have been inferred from observations.},
	urldate = {2018-04-20TZ},
	journal = {Physical Review Letters},
	author = {Padoan, Paolo and Jimenez, Raul and Nordlund, Åke and Boldyrev, Stanislav},
	month = may,
	year = {2004},
	keywords = {turbulence},
	pages = {191102}
}

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