Alma Mater Studiorum Universit`a degli Studi di Bologna ... - Inaf
Alma Mater Studiorum Universit`a degli Studi di Bologna ... - Inaf
Alma Mater Studiorum Universit`a degli Studi di Bologna ... - Inaf
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
1.3. Ra<strong>di</strong>o galaxies 9<br />
(a)<br />
(b)<br />
Figure 1.1: Examples of extended ra<strong>di</strong>o galaxies with lobes or plumes. Top panel: bridged ra<strong>di</strong>o<br />
galaxy Cygnus A (FR II) in a cluster of galaxy at z=0.056. This is the brightest extragalactic<br />
ra<strong>di</strong>o source in the sky. Bottom panels: montage by A.H. Bridle showing the tailed ra<strong>di</strong>o source<br />
3C 31 (FR I, in red) at the center of a galaxy group at z=0.0169, superimposed on Hubble Space<br />
Telescope WFPC2 image (a) and on DSS image (b).<br />
The field strength and pressure correspon<strong>di</strong>ng to the equipartition con<strong>di</strong>tion (e.g. Longair<br />
1994) are:<br />
B eq [µ G] ≃ 0.9·L 2/7<br />
[ergs −1 ] V−2/7 [kpc 3 ] ζ2/7 Φ −2/7 (1.11)<br />
P eq [dyne/cm 2 ]∝L 4/7<br />
[ergs −1 ] V−4/7 [kpc 3 ] ζ4/7 Φ −4/7 , (1.12)<br />
where L and V are the ra<strong>di</strong>o luminosity and the volume of the source,ζ is the ratio of the total<br />
energy in particles to the energy in electrons alone, andΦis the so called “filling factor”, which<br />
is the fraction of the total source volume occupied by emitting material. For a relativistic plasma<br />
Γ=4/3, so the total minimum energy density of the source is u min ≈ 3× P eq . Since P eq represents<br />
the pressure exerted by the synchrotron-emitting plasma, throughout the thesis it will be reported<br />
as P syn .<br />
The comparison of the pressure P eq with the external one provided by the surroun<strong>di</strong>ng<br />
9