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/content/aip/journal/pof1/11/11/10.1063/1.1691833
1.
1.D. Bohm, E. H. S. Burhop, H. S. W. Massey, and R. W. Williams, The Characteristics of Electrical Discharges in Magnetic Fields, A. Guthrie and R. K. Wakerling, Eds. (McGraw‐Hill Book Company, New York, 1949).
2.
2.For reviews see: F. Boeschoten, J. Nucl. Energy, Pt. C6, 339 (1964);
2.V. E. Golant, Usp. Fiz. Nauk 79, 377 (1963)
2.[V. E. Golant, Sov. Phys.‐Usp. 6, 161 (1963)];
2.F. C. Hoh, Rev. Mod. Phys. 34, 267 (1962);
2.and F. F. Chen, Phys. Today 10, 115 (1957).
3.
3.For a review see: B. B. Kadomtsev, Plasma Turbulence (Academic Press Inc., New York, 1965).
4.
4.S. S. Moiseev and R. Z. Sagdeev, Zh. Eksp. Teor. Fiz. 44, 763 (1963)
4.[S. S. Moiseev and R. Z. Sagdeev, Sov. Phys.‐JETP 17, 515 (1963)].
5.
5.F. F. Chen, Phys. Fluids 7, 949 (1964).
6.
6.A. A. Galeev, S. S. Moiseev, and R. Z. Sagdeev, J. Nucl. Energy, Pt. C6, 645 (1964).
7.
7.A. B. Mikhailovskii and O. P. Pogutse, Dokl. Akad. Nauk SSSR 156, 64 (1964)
7.[A. B. Mikhailovskii and O. P. Pogutse, Sov. Phys.‐Dokl. 9, 379 (1964)].
8.
8.B. Coppi, H. W. Hendel, F. Perkins, and P. A. Politzer, in Proceedings of Conference on Physics of Quiescent Plasmas (Laboratori Gas Ionizzati, Frascati, Italy, 1967), Pt. 1, p. 201;
8.H. W. Hendel, B. Coppi, F. Perkins, and P. A. Politzer, Phys. Rev. Letters 18, 439 (1967).
9.
9.N. D’Angelo and R. W. Motley, Phys. Fluids 6, 422 (1963).
10.
10.N. D’Angelo, D. Eckhartt, G. Grieger, E. Guilino, and M. Hashmi, Phys. Rev. Letters 11, 525 (1963).
11.
11.N. S. Buchelnikova, Zh. Eksp. Teor. Fiz. 46, 1147 (1964)
11.N. S. Buchelnikova, Sov. Phys.‐JETP 19, 775 (1964)];
11.N. S. Buchelnikova, R. A. Salimov, and Yu. I. Eidelman, in Proceedings of Conference on Physics of Quiescent Plasmas (Laboratori Gas Ionizzati, Frascati, Italy, 1967), Pt. 1, p. 137.
12.
12.H. Lashinsky, Phys. Rev. Letters 12, 121 (1964);
12.H. Lashinsky, 13, 47 (1967)., Phys. Rev. Lett.
13.
13.C. W. Hartman and R. H. Munger, Bull Am. Phys. Soc. 10, 213 (1965).
14.
14.B. J. Eastlund, K. Josephy, R. F. Leheny, and T. C. Marshall, Phys. Fluids 9, 2400 (1966).
15.
15.J. A. Decker, P. J. Freyheit, W. D. McBee, and L. T. Shepherd, Phys. Fluids 10, 2442 (1967).
16.
16.H. W. Hendel and P. A. Politzer, in Proceedings of Conference on Physics of Quiescent Plasmas (Laboratori Gas Ionizzati, Frascati, Italy, 1967), Pt. 1, p. 181.
17.
17.T. K. Chu, H. W. Hendel, and P. A. Politzer, Phys. Rev. Letters 19, 1110 (1967).
18.
18.B. Coppi, Phys. Rev. Letters 12, 417 (1964).
19.
19.I. P. Shkarofsky, I. B. Bernstein, and B. B. Robinson, Phys. Fluids 6, 40 (1963).
20.
20.A quadratic form justifying the localization condition and including boundary conditions can be derived [T. K. Chu, B. Coppi, and H. W. Hendel, Princeton Plasma Physics Laboratory Report Matt‐Q‐25 (1968)].
21.
21.This dispersion relation is the same as that given in Ref. 8. Without the terms containing we recover the dispersion relation which does not include ion‐ion collisions [Ref. 4;
21.F. F. Chen, J. Nucl. Energy, Pt. C7, 399 (1965)].
22.
22.A. Simon, Phys. Rev. 100, 1557 (1955).
23.
23.C. L. Longmire and M. N. Rosenbluth, Phys. Rev. 103, 507 (1956);
23.L. Spitzer, Physics of Fully Ionized Gases (Interscience Publishers, Inc., New York, 1962), p. 46.
24.
24.N. Rynn, Rev. Sci. Instr. 35, 40 (1964).
25.
25.J. G. Laframboise, University of Toronto Institute for Aerospace Studies Report No. 100 (1966).
25.For previous probe theory, see F. F. Chen in Plasma Diagnostic Techniques, R. H. Huddlestone and S. L. Leonard, Eds. (Academic Press Inc., New York, 1965), p. 113.
26.
26.G. Grieger (private communication).
27.
27.N. S. Buchelnikova, Nucl. Fusion 4, 165 (1964).
28.
28.H. Lashinsky, in Plasma Physics and Controlled Nuclear Fusion Research (International Atomic Energy Agency, Vienna, 1966), Vol. 1, p. 499.
29.
29.G. Grieger, Max‐Planck‐Institut f. Physik und Astrophysik Report No. PA 12/64;
29.F. F. Chen, Phys. Fluids 9, 2534 (1966).
30.
30.However, amplitudes of modes with are observed to be smaller than might be expected from a comparison of linear growth rates.
31.
31.An ion mass dependence of the onset of ion density fluctuations in stellarator plasmas comparable to the one found here has been reported previously [R. A. Ellis, Jr., K. Bol, and T. H. Stix, Phys. Fluids 10, 2095 (1967)] and found in accord with either ion viscous damping, ion Larmor radius, or ion cyclotron effects.
32.
32.Some results of nonlinear theories of collisional drift waves have been given recently:
32.T. H. Dupree, Bull. Am. Phys. Soc. 13, 263 (1968);
32.T. H. Stix, Phys. Rev. Letters 20, 1422 (1968).
33.
33.The use of Fick’s law as the basis for the concept of diffusion holds when the pertinent plasma parameters can be averaged over distances small compared with the density gradient scale length, e. g.,
34.
34.S. von Goeler and R. W. Motley, Phys. Fluids 10, 1361 (1967).
35.
35.S. von Goeler and R. W. Motley, in Proceedings of Conference on Physics of Quiescent Plasmas (Laboratori Gas Ionizzati, Frascati, Italy, 1967), Pt. 1, p. 243;
35.and private communication with F. F. Chen and G. Grieger.
36.
36.It has been suggested that the equilibrium radial electric field‐may play a role in determining onset of low‐frequency oscillations [L. Enriques, A. M. Levine, and G. B. Righetti, Plasma Phys. 10, 641 (1968)].
36.In the present experiment, however, the effect of the radial electric field other than Doppler shift of the observed frequency, appears to be negligible. When plate temperature is increased, increases as , As the plate temperature is varied, we observe drift‐wave mode changes consistent with Eq. (17), We do not observe as expected if a mechanism would play a role, as suggested in the above reference.
37.
37.N. A. Krall, Phys. Rev. 158, 138 (1967).
38.
38.L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon Press, Ltd., London, 1959), p. 104;
38.Ref. 3, p. 46.
39.
39.B. Coppi, M. N. Rosenbluth, and R. Z. Sagdeev, International Centre for Theoretical Physics, Trieste, Report IC/66/24, 1966.
40.
40.G. I. Taylor, Phil. Trans. Roy. Soc. A223, 289 (1923).
41.
41.C. C. Lin, The Theory of Hydrodynamic Stability (Cambridge University Press, Cambridge, England, 1955), p. 15.
42.
42.M. Bernard, Ann. Chim. Phys. 23, 62 (1901).
43.
43.Lord Rayleigh, Sci. Papers 6, 432 (1916).
44.
44.G. H. Markstein, J. Aeron. Sci. 18, 199 (1951).
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