# Theoretical studies of compact radio sources. II. Inverse-Compton radiation from anisotropic photon and electron distributions: General results and spectra from relativistic flows

## Abstract

A general expression is derived for the inverse Compton emissivity due to arbitrary distributions of photons and electrons. This expression is used to treat the anisotropies characteristics of synchrotron self-Compton radiation in relativistic flows. Detailed numerical calculations have been performed, producing self-consistent inverse Compton spectra from relativistic winds, including the effects of cutoffs in the electron distribution. The overall levels of X-ray emission are considerably depressed compared to static models for the same radio spectrum, with the depression roughly proportional to ..gamma../sub 0/, the initial bulk Lorentz factor of the flow. Analytic expressions are derived for the inverse Compton spectra of relativistic winds, and jets inclined at angles greater than 1/..gamma../sub 0/. Though spectral features are quite broad, they are potentially observable; expressions are given for the frequencies of spectral maximum and upper cutoff, and where the extension of the synchrotron spectrum meets the inverse Compton spectrum. These results are applied to compact radio and X-ray sources in the nuclei of M81, M87, and M104; jet models are fairly well constrained while wind models produce far too little X-radiation, and can probably be ruled out.

- Authors:

- Publication Date:

- Research Org.:
- Department of Astronomy, University of Virginia

- OSTI Identifier:
- 5023638

- Resource Type:
- Journal Article

- Journal Name:
- Astrophys. J.; (United States)

- Additional Journal Information:
- Journal Volume: 256:1

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COSMIC RADIO SOURCES; MATHEMATICAL MODELS; SYNCHROTRON RADIATION; COSMIC X-RAY SOURCES; ANALYTICAL SOLUTION; COMPTON EFFECT; ELECTRONS; EMISSIVITY; GALAXY NUCLEI; JETS; NUMERICAL SOLUTION; PHOTONS; SPECTRA; STELLAR WINDS; BASIC INTERACTIONS; BREMSSTRAHLUNG; COSMIC RAY SOURCES; ELASTIC SCATTERING; ELECTROMAGNETIC INTERACTIONS; ELECTROMAGNETIC RADIATION; ELEMENTARY PARTICLES; FERMIONS; INTERACTIONS; LEPTONS; MASSLESS PARTICLES; OPTICAL PROPERTIES; PHYSICAL PROPERTIES; RADIATIONS; SCATTERING; SURFACE PROPERTIES; 640103* - Astrophysics & Cosmology- Quasi-Stellar, Radio, & X-Ray Sources- (-1987)

### Citation Formats

```
Reynolds, S P.
```*Theoretical studies of compact radio sources. II. Inverse-Compton radiation from anisotropic photon and electron distributions: General results and spectra from relativistic flows*. United States: N. p., 1982.
Web. doi:10.1086/159882.

```
Reynolds, S P.
```*Theoretical studies of compact radio sources. II. Inverse-Compton radiation from anisotropic photon and electron distributions: General results and spectra from relativistic flows*. United States. doi:10.1086/159882.

```
Reynolds, S P. Sat .
"Theoretical studies of compact radio sources. II. Inverse-Compton radiation from anisotropic photon and electron distributions: General results and spectra from relativistic flows". United States. doi:10.1086/159882.
```

```
@article{osti_5023638,
```

title = {Theoretical studies of compact radio sources. II. Inverse-Compton radiation from anisotropic photon and electron distributions: General results and spectra from relativistic flows},

author = {Reynolds, S P},

abstractNote = {A general expression is derived for the inverse Compton emissivity due to arbitrary distributions of photons and electrons. This expression is used to treat the anisotropies characteristics of synchrotron self-Compton radiation in relativistic flows. Detailed numerical calculations have been performed, producing self-consistent inverse Compton spectra from relativistic winds, including the effects of cutoffs in the electron distribution. The overall levels of X-ray emission are considerably depressed compared to static models for the same radio spectrum, with the depression roughly proportional to ..gamma../sub 0/, the initial bulk Lorentz factor of the flow. Analytic expressions are derived for the inverse Compton spectra of relativistic winds, and jets inclined at angles greater than 1/..gamma../sub 0/. Though spectral features are quite broad, they are potentially observable; expressions are given for the frequencies of spectral maximum and upper cutoff, and where the extension of the synchrotron spectrum meets the inverse Compton spectrum. These results are applied to compact radio and X-ray sources in the nuclei of M81, M87, and M104; jet models are fairly well constrained while wind models produce far too little X-radiation, and can probably be ruled out.},

doi = {10.1086/159882},

journal = {Astrophys. J.; (United States)},

number = ,

volume = 256:1,

place = {United States},

year = {1982},

month = {5}

}