Physics
Scientific paper
Jan 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985apj...288...32b&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 288, Jan. 1, 1985, p. 32-42.
Physics
25
Acceleration (Physics), Photosphere, Quasars, Shock Wave Propagation, Asymptotic Methods, Distribution Functions, Laplace Transformation, Power Spectra, Synchrotron Radiation
Scientific paper
The effect of synchrotron losses on the production of power-law particle distributions by diffusive shock acceleration in quasar photospheres is investigated theoretically, using Laplace transforms to obtain exact solutions of the kinetic transport equations. The power-law dependence is found to remain the same as in the case of zero synchrotron loss up to a critical energy level, above which exponential cutoff is observed, and the critical energy is shown to decrease with the downstream distance from the shock. Numerical results are presented graphically, and the size of the synchrotron-emission region in the low-frequency strong-shock limit for a spatially resolved shock region is shown to increase with decreasing frequency with a power-law index of -0.5, as observed in knot A of the M87 jet (Owen et al., 1980); for unresolved objects, slopes of about -1.0 (with steepening at high frequencies) are predicted, consistent with observations of quasars and BL Lac objects.
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