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By F. Cap (eds.)

This publication provides the contents of a CISM direction on waves and instabilities in plasmas. For newbies and for complex scientists a overview is given at the nation of information within the box. buyers can receive a vast survey.

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Waves and Instabilities in Plasmas

This ebook provides the contents of a CISM direction on waves and instabilities in plasmas. For novices and for complex scientists a evaluate is given at the nation of information within the box. buyers can receive a wide survey.

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The model of the nonlinear oscillator forms a key paradigma for the discussion of the deterministic chaos in Hamiltonian systems, and has important consequences for the validity of the quasilinear approximation of wave-particle interaction, as will be discussed later on. We shall, therefore, mention this effect more thoroughly. nd where r is the space vector. n system. 5) with¢ = 0. Variables x, Px are the canonically conjugated coordinate and momentum, respectively. g. [7]) 1 FJ ) = p(l) k (kx - wt) w +x m k ( 106) 55 Basic Features 2 F(2) = PQ(l) - mw t 2k2 ' 2 and let us apply them to the foregoing Hamiltonian.

1cfio11 b~ fusion ~ , 'L or il1jectioi'J of hot fwd ~ co11st. "'tr 4. fre Qnd Heafit19 of New Cold FCAel 9, Ignition condition F. Cap 32 10. Fusion power reactor (principle) o-r . _ , . 11. Recovering heat from JET 12. JET Basic Physics of Plasma 33 H ~- ~;;;;;;; ;---- --- ---~ I trapped ion 1 1 --~ 1 I ~1 I I. I ·- Turning I po~nt I I I · -- - Section view I ~~ I ,.. ( ~ ------ ------- -J I I 13. Mirror machine Diamagnetic E la~er and fus ion plasma Reversed magnetic fie ld configuration l4. Astron 15.

This is the key mechanism of the wave-particle interaction. Nevertheless, this medmnism itself does not explain the damping effect. For the physical explanation, several models have been proposed. Most of them overlap in the following picture. Let us cousider au electron, whose velocity is slightly higher than the phase velocity of the w

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