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6.7 Formation <strong>of</strong> Micro–Jets 307<br />

VLBI jets are extreme plasma pipes, where all communication occurs<br />

over the speed <strong>of</strong> light – the Alfven speed and the fast magnetosonic speed<br />

are relativistic. The plasma in these pipes is also exotic: it is permanently heated<br />

to high temperatures <strong>of</strong> the order <strong>of</strong> 10 12 K by means <strong>of</strong> internal shocks. The ions<br />

are probably still non–relativistic, while the electrons always assume relativistic<br />

temperatures with < γe > 100, which are then subject to acceleration to even<br />

higher energies by various mechanisms.<br />

6.7.2 The Collimation Zone<br />

I am still convinced that jets in quasars are launched by complete MHD processes<br />

and that this will be modelled some day within General Relativistic MHD. The<br />

following elements should be included<br />

• a dipolar magnetosphere that closes radially towards the horizon;<br />

• hot plasma is launched from the innermost part (probably within the ergosphere<br />

region) in radial direction;<br />

• Along the axis, higly relativsitic plasma is injected from a polar gap. This<br />

plasma is energetically not important, but it carries the closure currents.<br />

• The gap is feeded by a pair plasma created from photoproduction in the ion<br />

torus near the horizon.<br />

• The toroidal field amplified by the frame–dragging effect leads to additional<br />

J × B–forces near the ergosphere.<br />

Structure <strong>of</strong> the magnetosphere: The calculation <strong>of</strong> the magnetosphere in the<br />

stationary approach is very cumbersome (Beskin 1996; Camenzind [6]; Fendt &<br />

Greiner [7]), since the current distribution has to be found self–consistently (this<br />

exercise is in fact better done within a time–dependent approach). The transition<br />

from the highly diffusive disk towards the ideal outflow conditions has however<br />

hampered down all modelling so far. What is urgently needed for this process is a<br />

realisation <strong>of</strong> the GR MHD equations on the background <strong>of</strong> compact objects. The<br />

form <strong>of</strong> the magnetosphere shown in Fig. 146 is a first guess.<br />

The Plasma Outflow: It has been shown that the stationary axisymmetric and<br />

polytropic plasma flow along an axisymmetric magnetic flux tube Ψ(r, θ) can be<br />

described by means <strong>of</strong> an algebraic wind equation (Camenzind [6]; Fendt & Greiner<br />

[7]). The essential quantity which determines the asymptotic plasma flow is the

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