Physics – Plasma Physics
Scientific paper
Nov 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999aps..dpp.fm106s&link_type=abstract
American Physical Society, 41st Annual Meeting of the Division of Plasma Physics, November 15-19, 1999 Seattle, WA, abstract #FM
Physics
Plasma Physics
Scientific paper
Kinetic equations are often used to represent the evolution of statistical properties of turbulent flows in various limits, such as acoustic turbulence, weak MHD turbulence, two-dimensional turbulence, and forced and decaying Burgers turbulence. The present paper discusses possibilities for such phenomenological kinetic equation descriptions of the one point probability distributions for highly supersonic galactic turbulence. The large Mach numbers, small cooling times, and jump-like and inelastic nature of phenomena associated with shock interactions, along with available multi-dimensional MHD simulations, suggest the form of an equation describing interaction between various quasi-discrete entities such as shocks, streams, clouds, and magnetic islands and valleys. Assuming a Markov restriction, the kinetic equation takes the form of a Chapman-Kolmogorov integro-differential equation for the probability distributions. As an example, a simplified phenomenological model is used to derive the pdf of velocity dispersions in turbulent galaxies dominated by shock-cloud interactions, and its implications for the self-regulation of the star formation rate.
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