Abstract
Assuming that the Q-machine magnetized plasma particles are moving on continuous and non-differentiable curves (fractal curves), a theoretical model was developed in the frame of the scale relativity theory. The model is able to explain some characteristics of the potential relaxation instability and the electrostatic ion-cyclotron instability, as well as the interaction between these two instabilities which leads to the amplitude and frequency modulation of the second instability by the first one. Experimental result are shown, which are in agreement with the theoretical model predictions.
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References
M. Agop, N. Forna, I. Casian-Botez, C. Bejenariu, New theoretical approach of the physical processes in nanostructures. J. Comput. Theor. Nanosci. 5, 483–489 (2008)
M. Agop, P. Nica, M. Girtu, On the vacuum status in Weyl-Dirac theory. Gen. Relativ. Gravit. 40, 35–55 (2008)
M. Agop, P. Nica, O. Niculescu, D.G. Dimitriu, Experimental and theoretical investigations of the negative differential resistance in a discharge plasma. J Phys Soc Japan 81, 064502 (2012)
C. Avram, R. Schrittwieser, M. Sanduloviciu, Possible excitation and ionization processes in a “collisionless” alkaline plasma. Int. J. Mass Spectrom. 184, 129–143 (1999)
C. Avram, R. Schrittwieser, M. Sanduloviciu, Current jumps and hysteresis in a single-ended Q-machine in connection with the electrostatic ion-cyclotron instability. Contrib. Plasma Phys. 39, 223–233 (1999)
C. Avram, R. Schrittwieser, M. Sanduloviciu, Nonlinear effects in the current-voltage characteristic of a low-density Q-machine plasma: I. Related to the potential relaxation instability. J. Phys. D Appl. Phys. 32, 2750–2757 (1999)
C. Avram, R. Schrittwieser, M. Sanduloviciu, Nonlinear effects in the current-voltage characteristic of a low-density Q-machine plasma: II. Related to the electrostatic ion-cyclotron instability. J. Phys. D: Appl. Phys. 32, 2758–2762 (1999)
I. Casian-Botez, M. Agop, P. Nica, V. Paun, V. Munceleanu, Conductive and convective types behaviors at nano-time scales. J. Comput. Theor. Nanosci. 7, 2271–2280 (2010)
C. Ciubotariu, M. Agop, Absence of a gravitational analog to the Meissner effect. Gen. Relativ. Gravit. 28, 405–412 (1996)
M. Colotin, G.O. Pompilian, P. Nica, S. Gurlui, V. Paun, M. Agop, Fractal transport phenomena through the scale relativity model. Acta Phys. Pol. A 116, 157–164 (2009)
N. D’Angelo, R.W. Motley, Electrostatic oscillations near the ion cyclotron frequency. Phys. Fluids 5, 633–634 (1962)
D.G. Dimitriu, Electrostatic Instabilities in the Q-machine Plasma (in Romanian) (Demiurg Editorial House, Iasi, Romania, 2006)
D.G. Dimitriu, V. Ignatescu, C. Ionita, E. Lozneanu, M. Sanduloviciu, R.W. Schrittwieser, The influence of electron impact ionisations on low frequency instabilities in a magnetised plasma. Int. J. Mass Spectrom. 223–224, 141–158 (2003)
D.G. Dimitriu, C. Ionita, R. Schrittwieser, Nonlinear effects related to the simultaneous excitation of three instabilities in magnetized plasma. Contrib. Plasma Phys. 51, 554–559 (2011)
W.E. Drummond, M.N. Rosenbluth, Anomalous diffusion arising from microinstabilities in a plasma. Phys. Fluids 5, 1507–1513 (1962)
S. Gurlui, M. Agop, M. Strat, S. Bacaita, Some experimental and theoretical results on the anodic patterns in plasma discharge. Phys. Plasmas 13, 063503 (2006)
S. Gurlui, M. Agop, P. Nica, M. Ziskind, C. Focsa, Experimental and theoretical investigations of transitory phenomena in high-fluence laser ablation plasma. Phys. Rev. E 78, 026405 (2008)
T.Y. Hou, Multi-Scale Phenomena In Complex Fluids: Modeling, Analysis and Numerical Simulations (World Scientific, Singapore, 2009)
S. Iizuka, P. Michelsen, J.J. Rasmussen, R. Schrittwieser, R. Hatakeyama, K. Saeki, N. Sato, Dynamics of a potential barrier formed on the tail of a moving double layer in a collisionless plasma. Phys. Rev. Lett. 48, 145–148 (1982)
S. Iizuka, P. Michelsen, J.J. Rasmussen, R. Schrittwieser, R. Hatakeyama, K. Saeki, N. Sato, Double layer dynamics in a collisionless magnetoplasma. J. Phys. Soc. Jpn. 54, 2516–2529 (1985)
E.A. Jackson, in Perspectives in Nonlinear Dynamics, vols 1 and 2 (Cambridge University Press, Cambridge, UK, 1991)
M.E. Koepke, W.E. Amatucci, J.J. Carol III, T.E. Sheridan, Experimental verification of the inhomogeneous energy-density driven instability. Phys. Rev. Lett. 72, 3355–3358 (1994)
L.D. Landau, E.M. Lifshitz, Fluid Mechanics, 2nd edn. (Pergamon Press, Oxford, UK, 1987)
B. Mandelbrot, in The fractal geometry of nature (updated and augm. ed.) (W. H. Freeman, New York, USA, 1983)
G.V. Munceleanu, V.P. Paun, I. Casian-Botez, M. Agop, The microscopic-macroscopic scale transformation through a chaos scenario in the fractal space-time theory. Int. J. Bif. Chaos 21, 603–618 (2011)
P. Nica, P. Vizureanu, M. Agop, S. Gurlui, C. Focsa, N. Forna, P.D. Ioannou, Z. Borsos, Experimental and theoretical aspects of aluminium expanding laser plasma. Jpn. J. Appl. Phys. 48, 066001 (2009)
P. Nica, M. Agop, S. Gurlui, C. Bejinariu, C. Focsa, Characterization of aluminium laser produced plasma by target current measurements. Jpn. J. Appl. Phys. 51, 106102 (2012)
L. Nottale, Fractal Space-Time and Microphysics: Towards A Theory Of Scale Relativity (World Scientific, Singapore, 1993)
L. Nottale, Scale relativity and fractal space-time: a new approach to unifying relativity and quantum mechanics (Imperial College Press, London, UK, 2011)
J.J. Rasmussen, R. Schrittwieser, On the current-driven electrostatic ion-cyclotron instability: a review. IEEE Trans. Plasma Sci. 19, 457–501 (1991)
S. Samukawa, M. Hori, S. Rauf, K. Tachibana, P. Bruggeman, G. Kroesen, J. Christopher Whitehead, A.B. Murphy, A.F. Gutsol, S. Starikovskaia, U. Kortshagen, J.P. Boeuf, T.J. Sommerer, M.J. Kushner, U. Czarnetzki, N. Mason, The 2012 plasma roadmap. J. Phys. D: Appl. Phys. 45, 253001 (2012)
M. Sanduloviciu, Quantum processes as generators of the energy source for ion-cyclotron oscillations. Rev. Roum. Phys. 32, 745–756 (1987)
M. Sanduloviciu, E. Lozneanu, On the generation mechanism and the instability properties of anode double layers. Plasma Phys. Control. Fusion 28, 585–595 (1986)
N. Sato, R. Hatakeyama, A mechanism for potential-driven electrostatic ion-cyclotron oscillations in plasma. J. Phys. Soc. Japan 54, 1661–1664 (1985)
R. Schrittwieser, Modulation of the current-driven ion-cyclotron instability by the potential relaxation instability. Phys. Fluids 26, 2250–2255 (1983)
Acknowledgements
This work was supported by a grant of Romanian Ministry of Research and Innovation, CNCS—UEFISCDI, project number PN-III-P4-ID-PCE-2016-355, within PNCDI III.
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Dimitriu, DG., Agop, M. (2018). Analysis of Low-Frequency Instabilities in Low-Temperature Magnetized Plasma. In: Skiadas, C. (eds) Fractional Dynamics, Anomalous Transport and Plasma Science. Springer, Cham. https://doi.org/10.1007/978-3-030-04483-1_5
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