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Alma Mater Studiorum Universit`a degli Studi di Bologna ... - Inaf

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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

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