On the study of ion cyclotron waves in a cylindrical magnetized plasma

• Autorzy: Zaki N. G.
• Konferencja: 9th Kudowa Summer School „Towards Fusion Energy”
• Języki publikacji: EN

Abstrakty

EN

In this work, a general dispersion relation of waves in the region of ion cyclotron frequency in the cylindrical magnetized plasma is derived. The waves are assumed to be cylindrically symmetric oscillations of small amplitude. Analytical calculations are performed to find the plasma dielectric tensor for the plasma consisting of hot electron and multi-component cold ions fluid. The special case of a three component plasma with hot electrons in a strong magnetic field may be interesting, e.g., in the context of fusion plasma containing D+, T+ and He2+. The general dispersion relation is simplified in two solutions. Firstly, E1 wave (E2 = 0) which has an electrostatic character, and secondly E2 wave (E1 = 0) which has an electromagnetic character. The dispersion relations for both waves are described and identified as the ion acoustic and electrostatic ion cyclotron (EIC) waves for E1 wave and the torsional Alfvén, i.e. ion cyclotron (IC) waves and the compressional Alfvén wave for E2 wave. These waves are studied due to their importance in the heating of plasmas.

Słowa kluczowe

EN

electrostatic ion cyclotron (EIC) waves; cylindrical magnetized plasma; ion acoustic wave; torsional and compressional Alfvén waves

• Wydawca: Institute of Nuclear Chemistry and Technology
• Czasopismo: Nukleonika
• Rocznik: 2011
• Tom: Vol. 56, No. 2
• Strony: 179--184
• Opis fizyczny: Bibliogr. 34 poz., rys.

Twórcy

autor

Zaki N. G.

• Plasma and Nuclear Fusion Department, Nuclear Research Centre, Atomic Energy Authority, P. O. No. 13759, Cairo, Egypt, Mobile: [phone], Fax: [phone],

Bibliografia

• 1. Agrimson E, Kim SH, D’Angelo N, Merlino RL (2003) Effect of parallel velocity shear on the electrostatic ion-cyclotron instability in filamentary current channels. Phys Plasmas 10;10:3850–3852
• 2. Alterkop B, Boxman RL (2006) Sagdeev potential. Contrib Plasma Phys 46;10:826–833
• 3. Antoniades JA, Duncan D, Bowles JH, Gavrishchaka V, Koepke E (1996) Plasma response to strongly sheared flow. Phys Rev Lett 77:1978–1981
• 4. Badiei S, Andersson PU, Holmlid L (2009) Fusion reactions in high-density hydrogen: a fast route to small-scale fusion? Int J Hydrogen Energy 34:487–495
• 5. Bahcivan H, Cosgrove R (2008) Enhanced ion acoustic lines due to strong ion cyclotron wave fields. Ann Geophys 26:2081–2095
• 6. Chen F (1984) Introduction to plasma physics and controlled fusion, 2nd ed. Vol. 1. Plenum Press, New York, pp 355–360
• 7. Cramer NF (2001) The physics of Alfvén waves. Wiley-VCH Verlag, Berlin
• 8. Fridman AA, Kennedy LA (2004) Plasma physics and engineering. Taylor and Francis Books, Inc., New York
• 9. Godyak V (2005) Hot plasma effects in gas discharge plasma. Phys Plasmas 12;5:055501 (15 p)
• 10. Gurnett DA, Bhattacharjee A (2009) Introduction to plasma physics with space and laboratory applications. Charter 6. Cambridge University Press, Cambridge
• 11. Holmlid L (2008) Clusters HN + (N = 4, 6, 12) from condensed atomic hydrogen and deuterium indicating close-packed structures in the desorbed phase at an active catalyst surface. Surf Sci 602:3381–3387
• 12. Jehan N, Salahuddin M, Mahmood S, Mirza M (2009) Electrostatic solitary ion waves in dense electron-positron-ion magnetoplasma. Phys Plasmas 16:042313 (9 p)
• 13. Kaneko T, Saito H, Tsunoyama H, Hatakeyama R (2004) Electrostatic ion-cyclotron instabilities modified by the parallel and perpendicular plasma flow velocity shears. Phys Plasmas 1:0410183 (7 p)
• 14. Kim SH, Heinrich JR, Merlino RL (2008) Electrostatic ion-cyclotron waves in a plasma with heavy negative ions. Planet Space Sci 56:1552–1559
• 15. Kim SH, Merlino RL, Ganguli GI (2006) Generation of “Spiky” potential structures associated with multiharmonic electrostatic ion-cyclotron waves. Phys Plasmas 13:012901 (7 p)
• 16. Kita T, Nagataki S, Kojima Y (2008) Nonrelativistic and relativistic treatments for propagation of torsional resonant Alfvén waves in strongly magnetized neutron stars. Prog Theor Phys 119;1:39–58
• 17. Koepke ME (2004) Sheared-flow-driven electrostatic waves in laboratory and space plasmas. Phys Scr T 107:182–187
• 18. Koepke ME, Teodorescu C, Reynolds EW (2003) Space-relevant studies of ion-acoustic and ion-cyclotron. Plasma Phys Control Fusion 45:869–889
• 19. Maggs JE, Carter TA, Taylor RJ (2007) Transition from Bohm to classical diffusion due to edge rotation of a cylindrical plasma. Phys Plasmas 14;5:052507 (14 p)
• 20. Mahmood S, Mushtaq A (2008) Quantum ion acoustic solitary waves in electron ion plasmas: a Sagdeev potential approach. Phys Lett A 372;19:3467–3470
• 21. Mikhailenko VS, Chibisov DV, Mikhailenko VV (2006) Shear-flow-driven ion cyclotron instabilities of magnetic field-aligned flow of inhomogeneous plasma. Phys Plasmas 13;10:12105 (6 p)
• 22. Mikhailenko VS, Mikhailenko VV, Stepanov KN (2008) Ion cyclotron instabilities of parallel shear flow of collisional plasma. Phys Plasmas 15:092901 (5 p)
• 23. Nenovski P, Dermendjiev VN, Detchev M, Vial JC, Bacchialini K (2001) On a mechanism of intensification of field-aligned currents at the solar chromosphere-quiescent prominence boundaries. Astron Astrophys 375:1065–1074
• 24. Okita T, Kojima Y (2005) Behaviour of torsional Alfvén waves and field line resonance on rotating magnetars. Monthly Notices of the Royal Astronomical Society Letters 364;3:879–890
• 25. Pavlenko VN, Panchenko VG, Nazarecko SA (2000) Anomalous diffusion in magnetoactive plasma in the presence of a lower- and upper-hybrid pump wave. Plasma Phys Control Fusion 42:1187–1191
• 26. Reddy RV, Lakhina GS, Singh SV, Bharuthram R (2002) Parallel electrostatic ion cyclotron and ion acoustic waves. Nonlinear Proc Geophys 9:25–29
• 27. Rosenberg M, Merlino RL (2009) Instability of higher harmonic electric ion cyclotron waves in a negative ion plasma. J Plasma Phys 75:495–508
• 28. Shi JK, Zhang T, Torkar K, Liu ZX (2005) An interpretation of electrostatic density shocks in space plasma. Phys Plasmas 12:082901 (4 p)
• 29. Singh N (1996) Effects of electrostatic ion-cyclotron wave instability on plasma flow during early stage plasmaspheric refilling. J Geophys Res (A8) 101;17:217–227
• 30. Sitenko A, Malnev V (1995) Plasma physics theory. Chapter 4. Chapman & Hall, London
• 31. Stix TH (1957) Oscillations of a cylindrical plasma. Phys Rev 106:1146–1150
• 32. Stix TH (1992) Waves in plasmas. American Institute of Physics, New York, pp 60–63
• 33. Ugai M (2008) Conditon for substorm onset by the fast reconnection mechanism. Ann Geophys 26:3875–3883
• 34.Zaki NG (2010) Absolute parametric instability of low-frequency waves in a 2D nonuniform anisotropic warm plasma. Pramana J Phys 74;5:755–763