Comparative Kinetics of Ions for Different Modes of Parametric Instability of Intense Langmuir Waves in Plasma
Abstract
Nonlinear regimes of one-dimensional parametric instabilities of long-wave plasma waves are considered for the cases when the average plasma field energy density is less (Zakharov’s model) or greater (Silin’s model) than the plasma thermal energy. The evolution of ion energy distribution is studied.After saturation of the instability, the ion kinetic energy density normalized to the initial field energy density is found to be of the order of the ratio of linear growth rate to the plasma frequency, for the case when the initial field energy far exceeds the plasma thermal energy. In this case, the ion energy distributionis differentfrom the Maxwellian. In the opposite case of hot plasma, the ions acquire a part of initial field energy, which is approximately equal to the half of ratio of initial Langmuir field energy to the plasma thermal energy. At this, the ion kinetic energy distribution is close to the Maxwellian, and it is reasonably to speak about ion temperature. The crossing of ion trajectories in the surrounding of density cavities is a reason of instability quenching in both cases.
Downloads
References
Silin V.P., Ruhadze A.A. The electromagnetic properties of plasma and plasma like media. – М.: Atomizdat, 1961. – 244p.
Basov N.G., Krohin O.N. Plasma heating condition by optical generator radiation // JETP. – 1964. - Vol.46, No.1. - P.171-175.
Dawson J.M. On the production of plasma by giant pulse lasers // Phys. Fluids. – 1964. - Vol.7, No.7. - P.981-987.
Paschinin P.P., Prokhorov A.M. Dense high-temperature plasma production by laser heating of the special gas target // JETP. –
–Vol.60, No. 5. – P.1630-1636.
Buts V.A., Lebedev A.N., Kurilko V.I. “The Theory of Coherent Radiation by Intense Electron Beams”. Springer-Verlag
Berlin Heidelberg. – 2006, 322р.
Fainberg Ja.B. Plasma electronic // Ukr. Phys J. – 1978. – Vol. 23, No.11. – P.1885-1901; The some of Plasma Electronics
Problems // Fizika Plasmy. – 1985. – Vol.11, No. 11. – P.1398-1410.
Kuzelev M.V., Ruhadze A.A. Dense electron beam electrodynamic in Plasma. – М.: Nauka, 1990. – 336p.
Shapiro V.D., Schevchenko V.I. Wave-particle interaction in nonequilibrium media // Izv. Vusov. Radiophis. – 1976. – Vol.19,
No.5-6. – P.787-791.
Kondratenko A.N., Kuklin V.M. / Plasma electronic principles. – М.: Energoatomizdat, 1988. – 320p.
Silin V.P. Parametric resonance in plasma // JETP. – 1965. – Vol. 48, No.6. – P.1679-1691.
Zakharov V.E. Weak-turbulence spectrum in a plasma without a magnetic field // Sov. Phys. JETP. –1967. – Vol. 24(2), P.455-
. The Instability of Waves in Nonlinear Dispersive Media // Sov. Phys. JETP. - 1967. –Vol. 24. – P.740. Collapse of
Langmuir Waves // Sov. Phys. JETP. - 1972. – Vol. 35(5). –P.908-914.
Kruer, W.L., Kaw P.K., Dawson J. M., Oberman C. Anomalous high-frequency resistivity and heating of a plasma // Phys.
Rev. Lett. – 1970. – Vol.24, No.18. - P.987-990.
Aliev Ju.M., Silin V.P. Oscillations theory of plasma, which situated in HF electromagnetic field // JETP. – 1965. – Vol.48,
No.3. – P.901-912.
Gorbunov L.M., Silin V.P. On the plasma instability in strong HF field // JETP. – 1965. – Vol.49, No.6. – P.1973-1981.
Silin V.P. Anomalous nonlinear dissipation HF radio-waves in plasma // Uspech. Fiz. Nauk. – 1972. –Vol.108, No. 4. –
P.625-654.
Kruer W.L. Heating of under dense plasma by intense lasers // Phys. Fluids. – 1973. – Vol.16, No.9. – P.1548-1550.
Ivanov A.A., Nikulin M.G. Nonlinear interaction large amplitude Langmuir waves in collisionless plasma // JETP. – 1973. –
Vol.65, No.1. – P.168-174.
Kim H.C., Stenzel R.L., Wong A.Y. Development of "Cavitons" and Trapping of RF Field. II // Phys. Rev. Lett. –1974. –
Vol. 33. –P. 886.
Andreev N.E., Silin V.P., Stenchikov G.L. On saturation of plasma parametrical instability in strong electric field // Sov.
Plasma Physics. – 1977. - Vol.3, No.5. - P.1088-1096.
Kovrignych L.M. The modulation instability and nonlinear waves in cold plasma // Fizika Plasmy. –1977. – Vol.3, No.5. –
P.1097-1105.
Buchelnikova N.S., Matochkin E.P. Instability and damping 1D Langmuir waves. Reprint № 79-115.АN USSR, Inst. Nuclear
Phys. – 1979. – 20P.
Antipov S.V. et al. Quasi-soliton oscillations, allocated in density ‘hollow’ of magnetized plasma // Pis’ma JETP. – 1976. –
Vol. 23, No.11. – P.613-616.
Sagdeev R.Z., Shapiro V.D., Schevchenko V.I. Strong Wave dissipation in inhomogeneous plasma and ultra strong plasma
turbulence // Fizika plasmy. – 1980. – Vol.6, No.3. – P.377-386.
Wong A.Y., Cheung P.Y. Three-Dimensional Self-Collapse of Langmuir Waves // Phys. Rev. Lett. – 1984. – Vol. 52. –
P.1222-1228.
Cheung P.Y., Wong A.Y. Nonlinear evolution of electron electron-beam-plasma interaction // Phys. Fluids. –1985. – Vol. 28,
No5. – P.1538-1548.
Karfidov D.M., Rubenchik A.M. et al. The excitation of strong Langmuir turbulence in plasma by electron beam // JETP. –
– Vol.98, No.5(11). – P. 1592-1599.
Zakharov V.E. et al. 3D Langmuir collapse kinetics // JETP. – 1989. – Vol.96, No.2. – P.591-603.
Dawson J.M. Some Investigations of Plasma Instabilities in One-Dimensional Plasmas. – Princeton, N.J.: Princeton University,
Plasma Physics Laboratory. – 1962. – Р.45.
Chernousenko V.V., Kuklin V.M., Panchenko I.P. The structure in nonequilibrium media. In book: The integrability and
kinetic equations for solitons / AN USSR, ITPh. K.: Nauk. Dumka, 1990. - 472p.
Clark K.L., Payne G.L., Nicholson D.R. A hybrid Zakharov particle simulation of ionospheric heating // Phys. Fluids B. - 1992.
–Vol. 4, No.3. – P.708-718.
Henri P., Califano F., Briand C., Mangeney A. Low energy Langmuir cavitons: asymptotic limit of weak turbulence.
arXiv:1301.3090v2 [physics.plasm-ph] 15 Jan 2013.
Silin V.P. Parametric Influences of high-energy Radiation on Plasma. – Мoscow: Nauka, 1973.
Kuklin V.M. Similarity of 1D Parametric Instability description of Langmuir waves // The Journal of Kharkiv National
University, physical series: Nuclei, Particles, Fields. – 2013. – No.1041. - Iss.2(58). - P.20-32.
Dwight H.B. Tables of integrals and other mathematical data. (4 ed). –NY.: The Macmillan com., 1961. - 230p.
Kuznetsov E.A. On averaged description of Langmuir waves in plasma // Sov. Plasma Physics. – 1976. – Vol.2, No.2. –
P.327-333.
Batanov G.M., et al. The large amplitude Langmuir waves and particle acceleration in plasma microwave discharge // Sov.
Plasma Physics. – 1986. – Vol.12, No.5. – P.552-565.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
