Quantification of scaling exponent with Crossover type phenomena for different types of forcing in DC glow discharge plasma

Debajyoti Saha, Pankaj Kumar Shaw, Sabuj Ghosh, M. S. Janaki, A. N. Sekar Iyengar

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We have carried out a detailed study of scaling region using detrended fractal analysis test by applying different forcing likewise noise, sinusoidal, square on the floating potential fluctuations acquired under different pressures in a DC glow discharge plasma. The transition in the dynamics is observed through recurrence plot techniques which is an efficient method to observe the critical regime transitions in dynamics. The complexity of the nonlinear fluctuation has been revealed with the help of recurrence quantification analysis which is a suitable tool for investigating recurrence, an ubiquitous feature providing a deep insight into the dynamics of real dynamical system. An informal test for stationarity which checks for the compatibility of nonlinear approximations to the dynamics made in different segments in a time series has been proposed. In case of sinusoidal, noise, square forcing applied on fluctuation acquired at P = 0.12 mbar only one dominant scaling region is observed whereas the forcing applied on fluctuation (P = 0.04 mbar) two prominent scaling regions have been explored reliably using different forcing amplitudes indicating the signature of crossover phenomena. Furthermore a persistence long range behavior has been observed in one of these scaling regions. A comprehensive study of the quantification of scaling exponents has been carried out with the increase in amplitude and frequency of sinusoidal, square type of forcings. The scalings exponent is envisaged to be the roughness of the time series. The method provides a single quantitative idea of the scaling exponent to quantify the correlation properties of a signal.

Original languageEnglish
Pages (from-to)300-310
Number of pages11
JournalPhysica A: Statistical Mechanics and its Applications
StatePublished - 15 Jan 2018
Externally publishedYes


  • Crossover phenomena
  • Detrended fluctuation analysis
  • Floating potential fluctuation
  • Glow discharge plasma
  • Recurrence plot
  • Recurrence quantification
  • Scaling exponent

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics


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