Fundamentals of Plasma Physics
490 Chapter 17. Dusty plasmas Figure 17.3: Dusty plasma parameter space showing contours of constantψd, α,and Zd/ 4 πni 0 λ^3 Di ...
17.5 LargePlimit: dust acoustic waves 491 ponent and ̄rdis the vertical component so that a given dusty plasma would correspond ...
492 Chapter 17. Dusty plasmas The equations are combined by taking the divergence of Eq.(17.31) and then substituting Eq.(17.32) ...
17.5 LargePlimit: dust acoustic waves 493 Substitution forni 1 andne 1 in Eq.(17.38) gives nd 0 md ∂ud 1 ∂t = −κTi 1 −ne 0 /ni 0 ...
494 Chapter 17. Dusty plasmas 17.6 Dust ion acoustic waves The presence of dust grains can also substantially modify the propaga ...
17.7 The strongly coupled regime: crystallization of a dusty plasma 495 17.7 The strongly coupled regime: crystallization of a d ...
496 Chapter 17. Dusty plasmas tency cannot be resolved influid theory and it is necessary to revert to the more fundamental Vlas ...
17.7 The strongly coupled regime: crystallization of a dusty plasma 497 Ion dynamics are qualitatively different because all ion ...
498 Chapter 17. Dusty plasmas which is much smaller than theexp(ψ)dependence predicted by the Boltzmann relation. Poisson’s equa ...
17.7 The strongly coupled regime: crystallization of a dusty plasma 499 In region 1,ψ >> 1 so that the ion density is give ...
500 Chapter 17. Dusty plasmas Using Gauss’s law to prescribe the radial electric field at the dust grain surface and also choosi ...
17.7 The strongly coupled regime: crystallization of a dusty plasma 501 These constitute two coupled nonlinear equations in the ...
502 Chapter 17. Dusty plasmas insider ̄o, consistent with the hard-sphere behavior of the dust grain test particle. Although ψis ...
17.7 The strongly coupled regime: crystallization of a dusty plasma 503 Figure 17.5: Plots oflog 10 ψ,ψ, 104 ψ,ne/ne 0 ,ni/ni 0 ...
504 Chapter 17. Dusty plasmas 17.8 Assignments AssumingTe=3eV,Ti=0. 03 eV, andni=10^9 cm−^3 ,estimate to within an order of mag ...
17.8 Assignments 505 Dust whistler waves: Show that a dusty plasma withα≃ 1 will support whistler-like waves with dispersionω≃ω ...
506 Chapter 17. Dusty plasmas potential fields. Assume thatZd=10^4 and that the dust grains are made of a material which has a m ...
Bibliography and suggested reading Bateman G 1978MHD instabilitiesMIT Press Cambridge, Mass. Bellan P M 2000Spheromaks : a pract ...
508 Bibliography and suggested reading Schmidt G 1979Physics of high temperature plasmasAcademic Press New York. Shukla P K & ...
References Alfven, H.: 1943, On the existence of electromagnetic-hydrodynamic waves,Arkiv Mat. As- tron. FysikB29, 2. Allen, J., ...
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