The effect of damping on autoresonant (nonstationary) excitation

Physics of Plasmas

Volumn 8, Issue 2, 2001, Pages 423-427

  Fajans, J ^a   Gilson, E ^a   Friedland, L ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010412829     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1338539     Document Type: Article

References (21)

1. M. S. Livingston, High-energy Particle Accelerators (Interscience, New York, 1954).
2. B. Meerson and L. Friedland, Phys. Rev. A 41, 5233 (1990).
3. W. K. Liu, B. Wu, and J. M. Yuan, Phys. Rev. Lett. 75, 1292 (1995).
4. L. Friedland, Phys. Rev. E 59, 4106 (1999).
5. J. Fajans, E. Gilson, and L. Friedland, Phys. Rev. Lett. 82, 4444 (1999).
6. J. Fajans, E. Gilson, and L. Friedland, Phys. Plasmas 6, 4497 (1999).
7. I. Aranson, B. Meerson, and T. Tajima, Phys. Rev. A 45, 7500 (1992).
8. L. Friedland and A. G. Shagalov, Phys. Rev. Lett. 81, 4357 (1998).
9. Y. A. Mitropolski, Nonstationary Processes in Nonlinear Oscillatory Systems (Izd-vo AN, Kiev, USSR, 1955), in Russian.
10. L. D. Landau and E. M. Lifshitz, Mechanics (Pergamon, New York, 1960).
11. J. Marion and S. Thornton, Classical Dynamics of Particles and Systems (Saunders, Fort Worth, 1995).
12. To be consistent with the experimental measurements, the Q defined here is the Q for the decay of the displacement D∝ √I (defined in Fig. 2). The Q for the action is lower by a factor of two.
13. L. Friedland, J. Fajans, and E. Gilson, Phys. Plasmas 7, 1712 (2000).
14. J. Fajans, E. Gilson, and L. Friedland, Phys. Rev. E 62, 4131 (2000).
15. S. A. Prasad and J. H. Malmberg, Phys. Fluids 29, 2196 (1986).
16. K. S. Fine, Phys. Fluids B 4, 3981 (1992).
17. In the experiment the receiving and driving sectors do not extend the full length of the plasma, and are separated axially to reduce coupling.
18. J. H. Malmberg, C. F. Driscoll, B. Beck, D. L. Eggleston, J. Fajans, K. Fine, X. P. Huang, and A. W. Hyatt, in Nonneutral Plasma Physics, edited by C. Roberson and C. Driscoll (American Institute of Physics, New York, 1988), Vol. 175, p. 28.
19. The experiments reported here were taken at slightly different trap parameters than the experiments reported earlier in Ref. 1. These differences, together with long term drifts in the trap, account for the slight differences in the reported frequencies and critical drives.
20. K. S. Fine and C. F. Driscoll, Phys. Plasmas 5, 601 (1998).
21. L. Friedland, Phys. Rev. E 61, 3732 (2000).