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The centrifugal barrier supported boundary layer (CENBOL) of a black hole affects the spectrum exactly in the same way the boundary layer of a neutron star does. The CENBOL is caused by standing or oscillating shock waves that accelerate electrons very efficiently and produce a power-law distribution. The accelerated particles in turn emit synchrotron radiation in the presence of the magnetic field. We study the spectral properties of an accretion disk as a function of shock strength, compression ratio, flow accretion rate and flow geometry. In the absence of a satisfactory description of magnetic fields inside the advective disk, we only consider the stochastic fields and use the ratio of field energy density to gravitational energy density as a parameter. Not surprisingly, stronger fields produce larger humps due to synchrotron radiation. We not only include "conventional" synchrotron emission and Comptonization due to Maxwell-Boltzmann electrons in the gas, but also compute the effects of power-law electrons. For strong shocks, a bump is produced just above the synchrotron self-absorption frequency at νbump ∼ νinj(1 + 4 R−1 R 1 x 1/2 s ) x 1/2 s ,w here,ν inj is the frequency of the dominant photons from the pre-shock flow, and R the compression ratio of the shock located at xs. For strong shocks, a bump at a higher frequency appears predominantly due to the power-law electrons formed at the shock front.

Accretion shock signatures in the spectrum of two-temperature advective flows around black holes