The Department was established in 1970. The first Head of the Department was Dr. Sci., Professor V. N. Oraevsky. From 1974 till 2005, the Department was headed by Dr. Sci., Professor T. A. Davydova. At present, two Doctors and seven Candidates of Sciences are working at the Department.

•	Theoretical investigation of the nonlinear wave and particle interactions in non-equilibrium plasmas and of their influence on heating and transport processes.
•	Study of nonlinear wave structures (solitons, vortices) in plasmas and other nonlinear media.
•	Examination of wave processes in dense, low-temperature plasmas of radio-frequency inductive sources.
•	Applications of basic research results to solving the problem of controlled fusion and to developing the plasma technologies.

 

Principal scientific results

Publications

Conference Presentations

 

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Principal scientific results

• The new types of nonlinear structures (solitons, vortices, multipoles) were found; their stability conditions and evolutions were determined.
  • Davydova T. A., Yakimenko A. I. and Zaliznyak Yu. A. Two-dimensional solitons and vortices in normal and anomalous dispersive media // Phys. Rev. E. – 2003. – V. 67. – No. 2. – P. 026402(16).
  • Lashkin V. M. Perturbation theory for dark solitons: Inverse scattering transform approach and radiative effects // Phys. Rev. E. – 2004. – V. 70, No. 6. – P. 066620(12).
  • Davydova T. A. and Pankin A. Yu. Envelope nonlinear drift structures in nonequilibrium plasma near the boundary of marginal stability // J. Plasma Phys. - 1998. - V. 59. - Pt. 1. - P. 179-191.
  • Gurin A. A. The influence of Hall effects on the stability of global kink modes in a paramagnetic pinch // Fizika Plazmy. – 1991. – V. 17. – No. 4. – P. 506-509.
  • Nycander J., Pavlenko V. P. and Stenflo L. Magnetic vortices in nonuniform plasmas. // Phys. Plasmas. - 1987. - V. 30. - No. 5. - P. 1376-1370.
• The mechanisms of onset and stabilization of the instabilities, which develop under electron and ion beams propagation in plasmas and have substantial influence on beam transportation, were ascertained and applied for interpretations of the experiments performed in the Institute for Nuclear Research and the Institute of Physics of National Academy of Sciences of Ukraine (NASU).
  • Virko V.F., Davydova T.A. and Kirichenko G.S. Ion heating by the lower-hybrid waves under parametric instability of a plasma in a radio-frequency field // Fizika Plazmy. – 1986. – V. 12. No. 10. – P. 1200-1205.
  • Soloshenko I.A., Taranov V.B., Tsiolko V.V. and Shamrai K.P. Suppression of the low-frequency instability of a fast ion beam in a plasma under excitation of the high-frequency wave // Zh. Eksper. Teor. Fiz. - 1987. - V. 93. - No. 6. - P. 1963-1972.
• The theory of radio-frequency power absorption in helicon plasmas due to the cooperative mechanism of electromagnetic wave conversion was developed and shown to describe well the experimental data obtained in the Institute for Nuclear Research NASU and other laboratories.
  • Shamrai K. P. and Taranov V. B. Volume and surface rf power absorption in a helicon plasma source. // Plasma Sources Sci. Technol. - 1996. - V. 5. - No. 3. - P. 474-491.
  • Shamrai K. P., Shinohara S., Virko V. F., Slobodyan V. M., Virko Yu. V. and Kirichenko G. S. Wave stimulated phenomena in inductively coupled magnetized plasmas. // Plasma Phys. Control. Fusion. - 2005. - V. 47. - No. 5A. - P. A307-315.
• New mechanisms of electromagnetic wave transformation and scattering in plasmas with a high-frequency pump were found.
  The nonlinear theory of echo phenomena in bounded and relativistic plasmas was developed, and the effect of nonlinear blooming of a dense-plasma layer was predicted.
  • Pavlenko V.N. and Sitenko A.G. Echo phenomena in plasmas and plasma-like media. - Moscow: Nauka, 1988. - 128 pp.
  • Davydova T.A. and Shamrai K.P. The effect of linear conversion on the absolute parametric instability in a nonuniform plasma. // Zh. Eksper. Teor. Fiz. – 1975. – V. 69. – No. 5. – P. 1607-1616.
  • Shukla P.K., Pavlenko V.N. and Panchenko V.G. Parametric excitation of convective cell modes and nonlinear stabilization of purely growing instability. // Plasma Phys. Control. Fusion. - 1991. - V. 33. - No. 6. - P. 643-651.
  • Pavlenko V.N. and Panchenko V.G. Influence of an upper-hybrid pump on temperature relaxation processes in a magnetized plasma. // J. Plasma Phys. - 2007. - V. 73. - Pt. 6. - P. 1-5.

 

Publications: (2006) (2007) (2008)

2008

1. Lashkin V.M. Two-dimensional multisolitons and azimuthons in Bose-Einstein condensates. // Phys. Rev. A. – 2008. – V. 77. – No. 2. – 025602.
2. Lashkin V.M. Stable three-dimensional spatially modulated vortex solitons in Bose-Einstein condensates. // Phys. Rev. A. – 2008. – V. 78. – No. 3. – 033603.
3. Lashkin V. M. Influence of the mean flow on zonal flow generation. // Phys. Plasmas. – 2008. – V. 15. – No. 12. – 124502.
4. Pavlenko V.N. and Panchenko V.G. Effects of ion temperature anisotropy on diffusion process in plasma. // Phys. Scripta. – 2008. – V. 77. – No. 1. – 015502.
5. Pavlenko V.N. and Panchenko V.G. Influence of an upper-hybrid pump on temperature relaxation processes in a magnetized plasma. // J. Plasma Phys. – 2008. – V. 74. – No. 1. – P. 47-51.
6. Pavlenko V.M., Panchenko V.G. Temperature relaxation processes in a magnetized plasma. // Ukr. J. Phys. – 2008. – V. 53. – No. 4. – P. 377-380.
7. Pavlenko V.N., Panchenko V.G. Diffusion in turbulent plasma with ion temperature anisotropy. // Ukr. J. Phys. – 2008. – V. 53. – No. 4. – P. 374-376.
8. Shamrai K.P., Kudriavchenko E.N. Electromagnetic fields and heavy ion orbiting in a low-temperature plasma with a magnetic pumping. // Problems of Atomic Sci. Technol.. Ser. Plasma Physics (14). – 2008. – No. 6. – P. 183-185.
9. Taranov V.B. Symmetry extensions and their physical reasons in the kinetic and hydrodynamic plasma models. // SIGMA. – 2008. – V. 4. – 006.
10. Zaliznyak Yu.A. and Yakimenko A.I. Three-dimensional solitons and vortices in dipolar Bose-Einstein condensates. // Phys. Let. A. – 2008. – V. 372. – P. 2862-2866.
11. Zaliznyak Yu.A., Yakimenko A.I. and Lashkin V.M. Excitation of zonal flow by the modulational instability in electron temperature gradient driven turbulence. // J. Plasma Phys. – 2008. – V. 74. – No. 3. – P. 381-389.

 

2007

1. Lashkin V.M. Two-dimensional vortex ring-like and multisoliton nonlinear structures at the upper-hybrid resonance. // Phys. Plasmas. – 2007. – V. 14. – No. 10. – 102311.
2. Lashkin V.M. N-soliton solutions and perturbation theory for the derivative nonlinear Schrodinger equation with nonvanishing boundary conditions. // J. Phys. A: Math. Theor. – 2007. – V. 40. – No. 23. – P. 6119-6132.
3. Lashkin V.M. Two-dimensional nonlocal vortices, multipole solitons and rotating multisolitons in dipolar Bose-Einstein condensates. // Phys. Rev. A. – 2007. – V. 75. – No. 4. – 043607.
4. Lashkin V.M., Yakimenko A.I. and Prikhodko O.O. Two-dimensional nonlocal multisolitons. // Phys. Lett. A. – 2007. – V. 366. – No. 4-5. – P. 422-427.
5. Taranov V.B. Electron-positron plasma: kinetic symmetries and exact solutions. // Problems of Atomic Sci. Technol.. Ser. Plasma Physics (13). – 2007. – No. 1. – P. 63-65.
6. Virko Yu.V., Virko V.F., Shamrai K.P. and Yakimenko A.I. Characterization of plasma and emergent ion beam in a compact helicon source with permanent magnets. // Problems of Atomic Sci. Technol.. Ser. Plasma Physics (13). – 2007. – No. 1. – P. 136-138.
7. Pankin A.Y., Bateman G., Brennan D.P.et al. Modeling of ELM dynamics for DIII-D and ITER. // Plasma Phys. Control. Fusion. – 2007. – V. 49. – No. 7. – P. S63-75.

 

2006

1. Lashkin V.M. Alfven soliton and emitted radiation in the presence of perturbations. // Phys. Rev. E. – 2006. – V. 74. – P. 016603-1-9.
2. Shamrai K.P. and Shinohara S. Modeling electromagnetic field excitation and rf power absorption in a large helicon plasma. // Thin Solid Films. - 2006. - V. 506-507. - P. 555-558.
3. Shamrai K.P., Slobodyan V.M., Virko V.F., Virko Yu.V., Gurin A.A. and Kirichenko G.S. Nonlinear phenomena in helicon plasmas. // Problems of Atomic Sci. Technol. Ser. Plasma Physics (12). - 2006. - No. 6. - P. 84-88.
4. Shamrai K.P., Virko V.F., Slobodyan V.M., Virko Yu.V. and Kirichenko G.S. Ion acoustic wave activity in  m = 0 helicon plasmas. // Problems of Atomic Sci. Technol. Ser. Plasma Electronics and New Acceleration Methods (5). - 2006. - No. 5. - P. 48-53.
5. Toki K., Shinohara S., Tanikawa T. and Shamrai K.P. Small helicon plasma source for electric propulsion. // Thin Solid Films. - 2006. - V. 506-507. - P. 597-600.
6. Yakimenko A.I., Lashkin V.M. and Prikhodko O.O. Dynamics of two-dimensional coherent structures in nonlocal nonlinear media. // Phys. Rev. E. - 2006. - V. 73. – P. 066605-1-9.

 

 

Conference Presentations: (2006) (2007) (2008)

 

2008

1. Guryn A.A. Kink stability and resistive layer structure of internal kinks in the cylindrical plasma. // Int. Conf. & School on Plasma Phys. and Control. Fusion (Alushta). – 2008, September. – P. 51.
2. Shamrai K.P. and Kudriavchenko E.N. Electromagnetic fields and heavy ion orbiting in a low-temperature plasma with a magnetic pumping. // Ibid. – P. 172.
3. Taranov V.B. Symmetry constraints on the kinetic electron plasma waves. // 4th Int. Conf. “Electronics and Applied Physics” (Kyiv). − 2008, October. − P. 150-151.
4. Shamrai K.P., Kudriavchenko E.N. Effect of magnetic pumping on the heavy ion motion in a low-temperature plasma. // X Int. Workshop “Plasma Electronics and New Acceleration Methods” (Kharkov). − 2008, August.

 

2007

1. Shamrai K.P., Virko V.F., Virko Y.V., Toki K and Yakimenko A.I. Generation of accelerated emergent ion beam in a compact helicon source with a variable permanent magnet system. // 51st Space Science and Technology Conf. (Sapporo, Japan). - 2007, October. - 1E10.
2. Гурин А.А. Холлівський одномодовий механізм магнітного динамо в пінчах з оберненим полем. // Укр. конф. з фізики плазми та КТС (Київ). - 2007, вересень. - С. 58.
3. Павленко В.М., Панченко В.Г. Вплив анізотропії іонної температури на процеси дифузії в плазмі. // Ibid. - С. 54.
4. Павленко В.М., Панченко В.Г. Процеси релаксації температур в магнітоактивній плазмі. // Ibid. - С. 55.
5. Таранов В.Б. Застосування узагальнених та умовних симетрій у кінетичній та гідродинамічній теорії плазми. // Ibid. - С. 53.
6. Taranov V.B. Symmetry extensions and their physical reasons in the kinetic and hydrodynamic plasma models. // 7th Int. Conf. “Symmetry in Nonlinear Mathematical Physics” (Kiev). - 2007, вересень.
7. Taranov V.B. Hydrodynamic, kinetic, conditional and extended symmetries in plasma theory. // 3rd Int. Conf. “Electronics and Applied Physics” (Kiev). - 2007, October. - P. 166-167.

 

2006

1. Shamrai K.P., Virko Y.V., Virko V.F. and Yakimenko A.I. Compact helicon plasma source with permanent magnets for electric propulsion application. // 42nd AIAA/ASME/SAE/ASEE Joint Propulsion Conf. (Sacramento, USA). - 2006, July. - AIAA2006-4845.
2. Lashkin V.M. Stable two-dimensional soliton and vortex structures at the upper-hybrid resonance. // 13th Int. Congress on Plasma Phys. (Kiev). - 2006, May. - A119p.
3. Pavlenko V.N., Panchenko V.G. Influence of an upper-hybrid pump on temperature relaxation process in a magnetized plasma. // Ibid. - A192p.
4. Shamrai K.P., Virko V.F., Slobodyan V.M. Driving mechanisms of ion-acoustic activity in an m = 0 helicon plasmas. // Ibid. - D125p.
5. Taranov V.B. Symmetry extensions in kinetic and hydrodynamic plasma models. // Ibid. - A041p.
6. Yakimenko A. I., Lashkin V.M., and Prikhodko O.O. Stable multisolitary structures in plasmas with nonlocal nonlinearities. // Ibid. - A169p.
7. Lashkin V.M. Stable two-dimensional soliton and vortex structures at the upper-hybrid resonance. // Int. Workshop “Nonlinear Physics and Mathematics” (Kiev). –2006, May. – P. 21.
8. Taranov V.B. Application of symmetries to the plasma theory models. // Ibid. – P. 45.
9. Yakimenko A.I., Lashkin V.M. and Prikhodko O.O. Nonlocal multisolitons. // Ibid. – P. 48.
10. Shamrai K.P., Slobodyan V.M., Virko V.F., Virko Yu.V., Gurin A.A. and Kirichenko G.S. Nonlinear phenomena in helicon plasmas. // 11th Int. Conf. and Workshop on Plasma Phys. and Control. Fusion (Alushta). - 2006, September. - P. 17. (Invited talk).
11. Taranov V.B. Electron-positron plasma: kinetic symmetries and exact solutions. // Ibid. –P. 93.
12. Taranov V.B. Application of the extended symmetries to the solution of the nonlinear plasma theory problems. // 2nd Int. Conf. “Electronics and Applied Physics” (Kiev). - 2006, October. - P. 151-152.

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