Instabilities And Growth Rate of Guiding Center Diffuse Pinches
Instabilities And Growth Rate of Guiding Center Diffuse Pinches
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B)]F ^ (6) where the subscript v denotes differentiation with respect to V, K is the magnetic field curvature, T = P'[(VP/p) + - (VP/p)-] (7) + and the constants a is given by a- = (e/M)7f(e/M)+- (e/M)"], (8) + + where e and M are respectively the charge (signed) and the mass of the ions and electrons.
Following the nonnal-mode method, we consider the perturbations F = F° +f exp(ie), (9) ^1, 2 = Pl, 2+Pl, 2 e^P(iS) ' (10) B = B° +b exp(i9), (11) U = U exp(i9), p =3 p°+p^ exp(i0), (12) -6- where... 9 = (-cot + kz +mVn) S> ^-i^d u . We can then solve these equations for y], p, and p^ in terms of g and u . This result then enables us to express p, and Pp in terms of linear combinations of g and u . If these expressions are used in (l8) for x and C, we can then write T = K^g + {lG, )-\n^, (32) C = L^g + (icD)"%u^ . (33) The coefficients K-, Kp, L and Lp can be expressed in a convenient form if we introduce the functions ! jr, which may be written in full as i/^)'^^^ - K^ ] "- ^^^b2(v/v)2
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To quickly assess the difficulty of the text, read a short excerpt:
B)]F ^ (6) where the subscript v denotes differentiation with respect to V, K is the magnetic field curvature, T = P'[(VP/p) + - (VP/p)-] (7) + and the constants a is given by a- = (e/M)7f(e/M)+- (e/M)"], (8) + + where e and M are respectively the charge (signed) and the mass of the ions and electrons.
Following the nonnal-mode method, we consider the perturbations F = F° +f exp(ie), (9) ^1, 2 = Pl, 2+Pl, 2 e^P(iS) ' (10) B = B° +b exp(i9), (11) U = U exp(i9), p =3 p°+p^ exp(i0), (12) -6- where... 9 = (-cot + kz +mVn) S> ^-i^d u . We can then solve these equations for y], p, and p^ in terms of g and u . This result then enables us to express p, and Pp in terms of linear combinations of g and u . If these expressions are used in (l8) for x and C, we can then write T = K^g + {lG, )-\n^, (32) C = L^g + (icD)"%u^ . (33) The coefficients K-, Kp, L and Lp can be expressed in a convenient form if we introduce the functions ! jr, which may be written in full as i/^)'^^^ - K^ ] "- ^^^b2(v/v)2
What to read after Instabilities And Growth Rate of Guiding Center Diffuse Pinches?
You can find similar books in the "Read Also" column, or choose other free books by Young Ping Pao to read onlineMoreLess
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