Spectral properties of the linearized Balescu-Lenard operator
- 1 January 1973
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 14 (1) , 119-129
- https://doi.org/10.1063/1.1666162
Abstract
The spectrum of the linearized Balescu‐Lenard operator is studied in detail. It is found to be continuous, to range from zero to minus infinity, and to have no point spectrum. Analytic expressions are obtained for the l = 1 spherical harmonic eigenfunctions in the velocity domain ≳2.5, where x is microscopic speed, nondimensionalized through the thermal speed. Sketches showing the typical behavior for all x of this; l‐mode eigenfunction are also given.Keywords
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