Prime pagine RA2010FUS:Copia di Layout 1 - ENEA - Fusione
Prime pagine RA2010FUS:Copia di Layout 1 - ENEA - Fusione
Prime pagine RA2010FUS:Copia di Layout 1 - ENEA - Fusione
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038<br />
progress report<br />
2010<br />
non–integrability, due to the presence of two or more degrees of freedom, may lead to Hamiltonian chaos.<br />
These aspects have been stu<strong>di</strong>ed by producing phase portrait plots, Poincare maps, and computing numerically<br />
the Lyapounov exponents, thus elucidating some interesting features of the LH propagation in the external<br />
plasma.<br />
The propagation and absorption of lower hybrid waves in H–mode plasma with very sharp<br />
density gra<strong>di</strong>ent at the pedestal<br />
Flat density profiles in tokamak plasmas are characterized by a density rise at the plasma periphery, which may<br />
prevent LH waves from penetrating deeply into the center. The reasons may be the deviation of the ray<br />
trajectories toward the plasma edge or the lack of vali<strong>di</strong>ty of the linear optics approximation (WKB). In this<br />
work the wave equations has been solved in full wave limit, in order to analyze whether outward reflections<br />
take place. The results in<strong>di</strong>cate that, unless the density rise is a very sharp jump, the reflection is negligible and<br />
the linear WKB wave equations are a valid tool to describe the wave ray tracing. These trajectories result to<br />
be deviated across the density rise, but their deviation depends on the central density value and scarcely on the<br />
edge gra<strong>di</strong>ent strength.<br />
Tritium minority heating with mode conversion of fast waves<br />
A new ion–heating scenario in tokamak plasmas is proposed, based on cyclotron damping of IBWs by tritium<br />
minority at the first ion cyclotron harmonic (i.e. ω=2Ω cT<br />
). The IBWs are coupled by mode conversion of fast<br />
magneto–sonic waves (FMW) in a D–H(T) (tritium minority in hydrogen-deuterium) plasma. The mode<br />
conversion layer is located near the centre of the plasma column as well as the resonant layer of the tritium<br />
minority. A possible scenario for the JET tokamak [1.84], based on the present idea, has been analyzed by<br />
means of the numerical codes toroidal ion cyclotron (TORIC) & steady state Fokker Planck quasi linear<br />
(SSFPQL) [1.85,1.86]. As a result, Tritium ions are accelerated up to energies close to the peak value of the<br />
DT cross–section and a significant increase in Q has been found [1.87].<br />
∼<br />
ν z<br />
2000<br />
2.0<br />
1000<br />
0<br />
u<br />
0<br />
1.0<br />
2<br />
4<br />
x<br />
6<br />
8 0.0<br />
Figure 1.46 – Behavior of the vertical velocity ν ∼ z as a<br />
function of the <strong>di</strong>mensionless ra<strong>di</strong>al x and vertical u<br />
coor<strong>di</strong>nates<br />
Stellar winds or matter–jet seeds from <strong>di</strong>sk<br />
plasma configuration<br />
The profile of a thin <strong>di</strong>sk configuration was stu<strong>di</strong>ed<br />
[1.88] as described by an axisymmetric ideal MHD<br />
steady equilibrium (in collaboration with the University<br />
of Rome “La Sapienza” and ICRANet). The <strong>di</strong>sk was<br />
considered as a <strong>di</strong>fferentially rotating system dominated<br />
by the Keplerian term, but allowing for a non–zero ra<strong>di</strong>al<br />
and vertical matter flux. In this scheme, the steady state<br />
allows for the existence of local peaks for the vertical<br />
velocity ν ∼ z<br />
of the plasma particles (fig. 1.46), though it<br />
prevents the ra<strong>di</strong>al matter accretion rate from taking<br />
place. This ideal MHD scheme is therefore unable to<br />
solve the angular momentum–transport problem, but it is<br />
suggested that it provides for a mechanism for the<br />
generation of stellar winds or matter–jet seeds. A<br />
visco–resistive scenario has also been set up [1.89], which generalizes previous two–<strong>di</strong>mensional analyses by<br />
reconciling the ideal MHD coupling of the vertical and the ra<strong>di</strong>al equilibria within the <strong>di</strong>sk with the standard<br />
mechanism of the angular momentum transport, relying on <strong>di</strong>ssipative properties of the plasma configuration.<br />
1.4 JET Collaboration<br />
In October 2009, JET operations were suspended to start the installation of the new ITER like wall (ILW)<br />
using beryllium and tungsten as plasma facing components (PFC). The related shut–down is still continuing<br />
and the first plasma is now foreseen for the beginning of August 2011.