Physics 8120, Plasma Physics

Paul J. Wiita

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Announcements

22Oct: MORE ERRATA in CHAPTER 8:

  • p. 207, expression below (46): the v' in the denominator should be in bold
  • p. 210, 2nd para of Sect 8.5, 3rd line: v_x should be v_z
  • p. 211, Eq (52): the last term should include a factor of m
  • p. 217, Eq (79): the F should have a subcript 1 in both places it appears, there should be a d^3v in the second integral,
    and the term neE_1 should be added to both the first and second integrals, as it comes from the piece of (76) that doesn't require integration by parts.
    Or the neE_1 term could be dropped from (79) and reintroduced explicitly in (82).

    16 Oct: ERRATA in CHAPTER 8:

  • p. 200, Eq(7) and (8): $\mu$ should be in the denominator of both on the RHS
  • p. 201, para after (17): the equation for the Debye length is missing a square root sign over the RHS, a Boltzman constant in the numerator and a closing parenthesis in the denominator.
    Eq. (19) and (20): the g's in the denominators should be g_0's
  • p. 202, Eq(23), a k_B is missing from the numerator of the penultimate term
  • p. 203, Eq(25), technically, the subscript AB in the numerator should not be in bold
  • p. 242, Problem 2: the final expression has an equals sign in the denominator; this should be a plus.

    1 October: MORE ERRATA in CH 9

  • p. 266: Problem 9.2, 2nd line: the vector E requires the subscript 1.
  • p. 265: Eq(79): the second vector E requires the subscript 0.

    24 Sept: ERRATA in CHAPTER 9

  • p. 249: Eq(28) has multiple errors. It should be (directly from the expression above):
    \omega^2 = k^2 c^2 / [1 + c^2/v_A^2] \approx k^2 v_A^2
  • p. 252, last line: add "of" between "function" and "\omega".

    VERIFIED ERRATA IN CHAPTERS 4, 5 and 7 FOLLOW

  • p. 79, 4th para: the word "cylinder(s)" should be substiuted for "sphere(s)" in lines 3, 5 and 8.
  • p. 80, Eq(32) and p. 81, Eq(33): a factor of 1/2 is missing from the first terms on the RHS.
  • p. 84, l. 1: insert an equals sign after \delta \phi and before GM.
  • p. 85, Eq(52): the last term on the RHS of both lines should be subtracted, not added.
  • p. 95, Eq(95), first line: the middle term on the RHS should be V_p (\del \dot B_T).
  • p. 114, 2nd line above Eq(30): the argument t of F_ext shouldn't be bold.
  • p. 115, integral for W after (32): lower bound of the integral should be -/inf.
  • p. 116, Eq(37): again, lower bound of the integral is -infinity.
    and the denominator of the RHS of the equation two lines below should be \omega (not v_phi).
  • p. 117, Eq(39): the argument of f^2 in the middle expression should be (z-v_A t) [not (x-v_A t0].
  • p. 119, 2nd para, 2nd line: the argument of the exponential needs parentheses to become: i(kx - omega t).
  • p. 120/121: in the para that spans those pages the word "median" should twice be substituted for "medium".
  • p. 121, last line: insert a minus sign before (k_z V_0/L).
  • p. 153, Eq(4): substitute a "dot" for a "hat" above \xi_0 on the RHS of the 2nd line.
  • p. 155, first l. of Eq(17) and line immediately following that eq: the lower bound of the integral should be -t_0 (not t_0).
  • p. 161, Eq(45): add right parenthesis between "Q" and "]"
    p.161, Eq(46): add left parenthesis between "+" and "xi"

    17 Sept: ERRATA IN CHAPTER 3 FOLLOW:

  • (This one is in Ch 1: p.3, Eq (1): Insert k_B before T in first radical)
  • p. 48, Eq(21): the first "A" should be in bold
  • p. 48, Eq(22): "dt" should not be in bold
  • p. 49, Eq(25): the X following E should be a +
  • p. 52, 2nd line after Eq(31): the unit is sec (delete ^{-1})
  • p. 52, 5th para, 2nd line: the subscript eV can be removed from 10^4
  • p. 52, 6th para, 9th line: the unit is ergs/cm^3
  • p. 60, Fig 3.7: note that D' is the distance between the slab and the plate
  • p. 60, 2nd para, 6th line: the expression should be: B_x \approx B_0 L/D'
  • p. 60, Eq(44): there should be a minus sign before the second quantity (V_x)
    AND the last term is missing a factor of B_0
  • p. 67, Problem 3.1, for consistency, the V_A in the first expression should be v_A
    AND B_0 should be followed by {\hat z} -- a unit vector along the z axis -- in the second expression.

    Syllabus

    Physics 8120 Syllabus as a Postscript file.
    Physics 8120 Syllabus as a pdf file.

    Assignments and Final Examination

    Are no longer available.

    Notes

    Are no again temporarily available. Double spaces denote the beginning of new sections and words denote new subsections.
    Most of the following are .jpg files, some are .gif.

  • Nature of Plasmas 1 page 2 page 3 page 4 page 5 page 6

  • Individual Particle Motions 7 page 8 page 9 page 10 page 11 page 12
  • Adiabatic Invariants 13 page 14 page 15 page 16 page 17 page 18 page 19

  • Bulk Plasma Behavior 20 page 21 page 22 page 23 page 24 page 25
  • MHD Approximation 26 page 27 page 28 page 29 page 30 page 31 page 32 page 33

  • Waves in Plasmas 34 page 35 page 36
  • Langmuir Oscillations 37 page 38 page 39 page 40 page 41
  • Plane Waves 42 page 43 page 44 page 45 page 46
  • Parallel to B 47 page 48 page 49 page 50
  • Perpendicular to B 51 page 52 page 53 page 54
  • Wave Generation 55 page 56 page 57 page 58

  • Plasma Stability 59 page 60 page 62 (there is no p. 61)
  • Two Steam Instability 63 page 64 page 65 page 66
  • Energy Criteria 67 page 68 page 69 page 70 page 71
  • Interchange Instabilities 72 page 73 page 74 page 75
  • Cylindrical Systems 76 page 77 page 78 page 79 page 80
  • Sausage and Kink 81 page 82 page 83 page 84

  • Collisions and Equilibration 85 page 86 page 87 page 88 page 89 page 90 page 91
  • Relaxation Times 92 page 93 page 94 page 95 page 96 page 97
  • Electrical Resistivity 98 page 99 page 100 page 101 page 102
  • Thermal Conductivity and Viscosity 103 page 104 page 105

  • Plasma Effects on Radiation: Faraday Rotation 106 page 107 page 108 page 109
  • Dispersion of Radio Waves 110 page 111
  • Synchrotron Radiation 112 page 113 page 114 page 115
  • Synchrotron Spectrum 116 page 117 page 118 page 119 page 120 page 121
  • Synchrotron Polarization 122 page 123 page 124
  • Synchrotron Self-Absorption, Cerenkov Rad'n, Razin Effect 125 page 126 page 127 page 128

  • Radio Galaxies page 129 page 130 page 131 page 132 page 133 page 134 page 135
  • Acceleration at Shock Fronts 136 page 137 page 138 page 139 page 140 page 141

  • Resistive Instabilities & Magnetic Reconnection 142 page 143 page 144 page 145
  • page 146 page 147 page 148 page 149 page 150

  • Astrophysical Dynamos (powerpoint presentation)

  • Pulsars and Neutron Stars 151 page 152 page 153- page 154 page 155 page 156 page 157
  • Curvature Radiation 158 (Sub-section not yet scanned) page 159 page 160 page 161 page 162 page 163 -->