Fundamentals of Plasma Physics
470 Chapter 16. Non-neutral plasmas whereLis the axial length of the plasma. The second term above can be directly evaluated as ...
16.5 Diocotron modes 471 capacitance at constantQreducesW,so bringing the plates together makes available free energy which coul ...
472 Chapter 16. Non-neutral plasmas The surface chargeflows back and forth between the wall segments and ground. The charge on t ...
16.5 Diocotron modes 473 Since the sum of the thermal energy in the resistor and the electrostatic energy in the plasma constitu ...
474 Chapter 16. Non-neutral plasmas the upper limit has been changed torpbecausen 0 (r)anddn 0 /drare by assumption zero in the ...
16.5 Diocotron modes 475 the wall boundary conditionψ(a) =0. Since the solutions of Eq.(16.82) areψ∼r±l, the inner solution must ...
476 Chapter 16. Non-neutral plasmas thesintegrals are reminiscent of the resonant denominators occurring in the velocity space i ...
16.6 Assignments 477 uniformity, the same radial electron density profilene(r), and are in equilibrium: (a) a cylindrical pure e ...
478 Chapter 16. Non-neutral plasmas non-neutral plasma equilibrium configuration perturbed configuration x y z −a a −a a x x p ...
16.6 Assignments 479 (g) Suppose that the length of the plasma in theydirection isLwhereLis an integral multiple of 2 π/k,the wa ...
480 Chapter 16. Non-neutral plasmas wall atr=a. The plasma has an equilibrium density profilen=n(r)for 0 ≤r<rp andn= 0forrp&l ...
16.6 Assignments 481 Fig.16.5(a) and (b). (a) Here the center plate is displaced off center by an amountxso that the volume occu ...
482 Chapter 16. Non-neutral plasmas perfectly conducting w all perfectly conducting wall (a) (b) (c) (d) pure electron plasma pu ...
17 Dusty plasmas 17.1 Introduction Non-neutral plasmas had one less species than a conventional plasma (one species instead of t ...
484 Chapter 17. Dusty plasmas Debye radius ion trajectory b rd dust grain lmfp Figure 17.1: Electrons and ions may be considered ...
17.2 Electron and ion currentflow to a dust grain 485 tively charged dust grain;the corresponding trajectory of an electron woul ...
486 Chapter 17. Dusty plasmas wherevT= √ 2 κT/mis the thermal velocity. The incident particles will be collisionless as they tra ...
17.3 Dust charge 487 Equation (17.11) can then be written in terms of the dust grain surface potential as α=− 4 πε 0 rdnd 0 ni 0 ...
488 Chapter 17. Dusty plasmas However, using Eq.(17.21) this becomes (1+ψd) √ meTi miTe exp(ψdTi/Te)=1−Pψd, (17.26) a transcende ...
17.3 Dust charge 489 The upper plot in Fig. 17.2 showslogPplotted versus logψdfor two cases correspond- ing to two typical labor ...
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