Mathematics – Logic
Scientific paper
Aug 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010phrvd..82d4044d&link_type=abstract
Physical Review D, vol. 82, Issue 4, id. 044044
Mathematics
Logic
8
Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields, Waves, Oscillations, And Instabilities In Plasmas And Intense Beams, Magnetohydrodynamics And Plasmas, Mathematical And Relativistic Aspects Of Cosmology
Scientific paper
The scalings for basic plasma modes in the Friedmann-Robertson-Walker model of the expanding Universe are revised. Contrary to the existing literature, the wave collisionless evolution must comply with the action conservation theorem. The proper steps to deduce the action conservation from ab initio analytical calculations are presented, and discrepancies in the earlier papers are identified. In general, the cosmological wave evolution is more easily derived from the action conservation in the collisionless limit, whereas when collisions are essential, the statistical description must suffice, thereby ruling out the need for using dynamic equations in either case.
Dodin I. Y.
Fisch Nathaniel J.
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