Long range temporal correlation in the chaotic oscillations of a dc glow discharge plasma

Abstract

Long range temporal correlations in the fluctuations of the plasma floating potentials (measured using a Langmuir probe) are investigated in a dc glow discharge plasma. Keeping the neutral pressure constant, the discharge voltage was varied and at the formation of the plasma, quasi periodic oscillations were excited and on further increase of the discharge voltage they became chaotic (irregular) beyond a threshold voltage. We compared the Lyapunov exponent with the Hurst exponent obtained from R/S statistics which showed an opposite behaviour at the transition point. These results are perhaps new since we have not come across such comparative analysis for chaotic oscillations in a glow discharge plasma before. V C 2012 American Institute of Physics.

Occurrence of ionization instability associated with plasma bubble in glow discharge magnetized plasma

“…The observed MMOs could be attributed to a situation where the ionization instability occurs. As the discharge voltage increases, the system is favorable for the growth of ion-acoustic instabilities [21]. This is because when the discharge is formed initially, single mode with small peaks is observed, as V d increases the number of modes in the oscillations.…”

Investigation and quantification of nonlinearity using surrogate data in a glow discharge plasma

“…In the field of biomedical signal processing, 14 techniques such as electrocardiogram, electroencephalogram reveal information about nonlinearity that help us to glean about health condition. Lahiri et al 15 have observed the phenomena of hysteresis in amplitude and frequency bifurcations of floating potential fluctuations (FPFs) in a glow discharge plasma (GDP). In the context of plasma discharges, Flanagan and Goree 16 identified the nonlinearity resulting from spatial growth of self-excited dust-density waves and quantified it using harmonic detection method.…”

Chaotic behavior and fractals discovered in the time evolution of discharge current at atmospheric pressure

“…For several decades, nonlinear phenomena such as chaos and fractals have attracted significant attention globally in all fields of science, and their concepts are considered common and beneficial according to the investigation of the structures caused by discharge phenomena. Many different varieties of experimental studies on nonlinear behaviors have been accomplished in plasmas produced by discharges, [1][2][3][4][5][6] observations of chaos, [7][8][9][10][11][12][13][14][15][16][17][18][19] control of chaos, [20][21][22] synchronization of coupled oscillators, [23][24][25][26][27][28] and calculations of fractal dimensions. [29][30][31][32][33][34][35] The properties concerning chaos and fractals can be characterized quantitatively, for example, from experimental data using the calculation of the Lyapunov exponent 36 and the correlation dimension, 37 respectively.…”