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FUNDAMENTAL PLASMA PARAMETERS

All quantities are in Gaussian cgs units except temperature (T, Te, expressed in eV and ion mass (mi) expressed in units of the proton mass, fi = rrii/mp\ Z is charge state; k is Boltzmann's constant; K is wavenumber; 7 is the adiabatic index; In A is the Coulomb logarithm.

Frequencies

electron gyrofrequency                   fce = cvce/27r = 2.80 X 106B Hz

ujCe — eB/mec = 1.76 X 107B rad/sec ion gyrofrequency   fci = Ljci/2'K = 1.52 X 10sZp-1 B Hz

tod = ZeB/rriiC = 9.58 X 103 Zfi~1B rad/sec electron plasma frequency fpe = upe/27r = 8.98 X 103ne1//2 Hz

ujpe = (47vnee2/me)1/2

= 5.64 x 104ne1/2 rad/sec ion plasma frequency       fpi = tupi/2tt

= 2.10 X 102Zfi-1/2rn1/2 Hz iupi = (4tt riiZ2e2/mi)1/2

= 1.32 x 103Zyit-1/2rV/2rad/sec electron trapping rate           uTe = (eK E/me)1//2

= 7.26 X 108K1/2E1/2 sec-1 ion trapping rate    = (ZeK E/rrii)1//2

= 1.69 X 107Z1/2X1/2Sl/2//-l/2sec-l

electron collision rate                     ve — 2.91 X 10_6ne In ATe~3//2 sec-1

ion collision rate                              Vi = 4.80 X 10 ~8 Z4 p~1/2m In A Ti~3/2 sec-1 Lengths

electron deBroglie length              X = H/(mekTe)1/2 = 2.76 x 10_8Te_1/2 cm

classical distance of                        e2/kT = 1.44 x 10_rT_1 cm

minimum approach

electron gyroradius                          re = VTe/^ce = 2.38Te1/2B_1 cm

ion gyroradius                                  n = VTi/wci

= 1.02 x lO2^1/2 Z~1Ti1/2B~1 cm plasma skin depth    c/u.>pe = 5.31 X 105ne-1^2 cm

Debye length                                    \D = (kT/47rne2)1/2

= 7.43 X 102T1/2n_1/2cm

Velocities

electron thermal velocity

ion thermal velocity ion sound velocity

Alfven velocity

Dimensionless

(electron/proton mass ratio)1/2

number of particles in Debye sphere

Alfven velocity/speed of light

electron plasma/gyrofrequency ratio

ion plasma/gyrofrequency ratio thermal/magnetic energy ratio magnetic/ion rest energy ratio

Miscellaneous

Bohm diffusion coefficient

vTe = (kTe/mef'2

= 4.19 X 10 T,

7 rp 1/2

cm/sec

vTi = (kTi/rrii)1^2

= 9.79 X 105fi~1/2Ti1/2 cm/sec Cs = (7ZkTe/mif'2

= 9.79 X 105(7ZTe/p)1/2 cm/sec vA = B/(Annum)1/2

= 2.18 X 101V-1/2ni-1/2JBcm/sec

(me/mp)1/2 = 2.33 X 10~2 = 1/42.9 (47r/3)nAD3 = 1.72 x 109T3/2n_1/2

VA/c = 7.28 p-1/2ni~1/2B upe/uce = 3.21 x 10-3ne1/2B-1

= 0.137p1/21/2B-1 (3 = SnnkT/B2 = 4.03 X 10_11nTB~2 B2/SnriimiC2 = 26.5 /jJ~1ni~1B2

transverse Spitzer resistivity

Db = {ckT/lQeB)

= 6.25 X 106TB-1 cm2/sec rn_ = 1.15 X 10~14Zln AT~S/2 sec = 1.03 X 10_2Zln AT~3/2 ficm The anomalous collision rate due to low-frequency ion-sound turbulence is

zy* « upeW/kT = 5.64 x 104ne1/2 W/kT sec-1,

where W is the total energy of waves with co/K < vt%- Magnetic pressure is given by

Pmag = B2/8tt = 3.98 X 106(B/Bo)2 dynes/cm2 = 3.93(B/B0)2 atm, where B0 = 10 kG = IT.

Detonation energy of 1 kiloton of high explosive is

= 1012 cal = 4.2 x 1019 erg.

Авторы: 1379 А Б В Г Д Е З И Й К Л М Н О П Р С Т У Ф Х Ц Ч Ш Щ Э Ю Я

Книги: 1908 А Б В Г Д Е З И Й К Л М Н О П Р С Т У Ф Х Ц Ч Ш Щ Э Ю Я