Fundamentals of Plasma Physics
510 References Birdsall, C. K. and Langdon, A. B.: 1985,Plasma physics via computer simulation, McGraw Hill, New York. Bohm, D. ...
References 511 Gould, R., O’Neil, T. and Malmberg, J.: 1967, Plasma wave echo,Physical Review Letters 19 , 219. Grad, H. and Rub ...
512 References Maecker, H.: 1955, Plasmastromungen in lichtbogen infolge eigenmagnetischer kompression, Z. Physik 141 , 198. Mal ...
References 513 square force,Physical Review 107 , 1. Sagdeev, R. Z. and Galeev, A.: 1969,Nonlinear plasma theory, W. A. Benjamin ...
514 References Applied Phys. 30 , 1784. Vedenov, A., Velikhov, E. and Sagdeev, R.: 1962, Quasi-linear theory of plasma oscillati ...
Appendix A Appendix A: Intuitive method for vector calculus identities identities Instead of providing the traditional ‘back of ...
516 Appendix A sign changes. Thus A·B×C=A×B·C interchange dot and cross, (A.3) A·B×C=B×C·A permutation maintaining cyclic order, ...
Appendix A 517 However, using the same arguments about maintaining the dot and satisfying theprod- uct rule shows that ∇(A·C) = ...
Appendix B Vector calculus in orthogonal curvilinear coordinates Derivation of generalized relations Letx 1 ,x 2 ,x 3 be a right ...
Appendix B 519 Since∇x 1 = ˆx 1 /h 1 ,the unit vector in thex 1 direction is ˆx 1 =h 1 ∇x 1. (B.6) Also, because the coordinates ...
520 Appendix B Thus the general form of the curl of the arbitrary vector is ∇×V = 1 h 2 h 3 ( ∂ ∂x 2 (V 3 h 3 )− ∂ ∂x 3 (V 2 h 2 ...
Appendix B 521 Application to cylindrical coordinates {x 1 ,x 2 ,x 3 }={r,φ,z};{h 1 ,h 2 ,h 3 }={ 1 ,r, 1 } ∇ψ = ˆr ∂ψ ∂r + ˆφ r ...
522 Appendix B used to construct the full Laplacian. The first calculation gives ∇^2 (Vrˆr) = ∇·∇(Vrˆr) = ∇·((∇Vr)ˆr+Vr∇ˆr) = ˆr ...
Appendix B 523 Application to spherical coordinates {x 1 ,x 2 ,x 3 }={r,θ,φ};{h 1 ,h 2 ,h 3 }={ 1 ,r,rsinθ} ∇ψ = ˆr ∂ψ ∂r + ˆθ r ...
Appendix C Frequently used physical constants and formulae Physical constants (to 3 significant figures) symbol value unit elect ...
Appendix C 525 Ion collisionless skin depth (assuming quasi-neutral plasma soniZ=ne c ωpi =2. 3 × 108 √ A Zne m Frequencies Elec ...
526 Appendix C Ion acoustic velocity (p.(4.33)) cs= √ κTe mi =9. 8 × 103 √ Te A m s−^1 Electron diamagnetic drift velocity (p.25 ...
Appendix C 527 Dreicer runaway electric field (p.395) EDreicer=5. 6 × 10 −^18 neZ lnΛ Te V/m. Typical neutral cross-section (p.1 ...
Index action integral in Lagrangian formalism, 63 in wave-wave coupling, 433 relation to quantum number, 433 action integral, 67 ...
Child-Langmuir space charge limited emission, 29 CMA diagram, 188 coalescence mode, 240 coalescence, mode, 212 cold plasma wave ...
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