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

## TL;DR

This study investigates the scaling behavior and crossover phenomena in floating potential fluctuations of DC glow discharge plasma under different forcing conditions, revealing complex dynamics and long-range correlations through fractal and recurrence analysis.

## Contribution

It introduces a detailed analysis of scaling exponents and crossover phenomena in plasma fluctuations under various forcings, employing advanced nonlinear and recurrence techniques.

## Key findings

- Single dominant scaling region at higher pressure with sinusoidal forcing
- Two prominent scaling regions at lower pressure indicating crossover phenomena
- Persistent long-range behavior observed in certain scaling regions

## Abstract

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=0.12mbar only one dominant scaling region is observed whereas the forcing applied on fluctuation (P=0.004mbar) two prominent scaling regions have been explored reliably using different forcing amplitudes indicating the signature of crossover phenomena. Furthermore a persistence long range behaviour has been observed in one of these scaling regions. A comprehensive study of the quantifi- cation 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.