Physics – Plasma Physics
Scientific paper
Dec 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006agufmsm11b0324n&link_type=abstract
American Geophysical Union, Fall Meeting 2006, abstract #SM11B-0324
Physics
Plasma Physics
7800 Space Plasma Physics, 7827 Kinetic And Mhd Theory, 7829 Kinetic Waves And Instabilities
Scientific paper
It is well known that the distribution functions of space plasmas have a wide variety of shapes due to the absence of collisions, and methods for linear dispersion calculation with arbitrary distribution functions are important for wave analysis in space. Nakamura and Hoshino (1998) has proposed a method by approximating the distribution function with a simple rational function: a function in the form of one-over-polynomial. The velocity integration can be carried out using the residue theorem, and the results are highly precise. The advantage of the residue theorem is in the simplicity of calculation; simply evaluating residues enable us to calculate otherwise difficult or impossible integrations. Thanks to this advantage Nakamura and Hoshino (1998) has successfully applied the method to the wave dispersion in a weakly relativistic magnetized plasma. However, this method has a difficulty when applied to fully relativistic case. The presence of square root in the γ factor causes multiple Riemann surface, and we cannot use a simple closed integration contour, which is necessary for the use of residue theorem. An attempt to use another kind of rational approximation has been made in the present study. The distribution is approximated with a function that is integrable without the residue theorem. This tactics is successful for electrostatic waves in an unmagnetized plasma, and satisfactory results are obtained. In the presentation, the difficulty in magnetized plasmas will be discussed along with the possible solution. Reference:\Nakamura, T. K., and M. Hoshino, Phys of Plasmas, 5, 3547, 1998.
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