Statistics – Computation
Scientific paper
Oct 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...398..299s&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 398, no. 1, p. 299-318.
Statistics
Computation
127
Computational Astrophysics, Cosmic Plasma, Plasma Temperature, Distribution Functions, Magnetohydrodynamic Flow, Mathematical Models, Plasma Density, Polytropic Processes, Statistical Correlation, Transport Properties
Scientific paper
The temperature changes that are possible in inhomogeneous low-density astrophysical plasmas were investigated for a variety of boundary distribution functions that occur in astrophysics, with emphasis placed on the spatial changes in temperature and their correlations with those of the density caused by time-independent, but spatially varying, conservative potentials. It is proven that decelerating forces produce equilibrium temperatures that are anticorrelated with densities, provided that the boundary condition is non-Maxwellian, and the proof is extended analytically for a generalized Lorentzian distribution, showing that they obey a polytrope relation with the value of gamma between 0 and l.
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