DC辉光放电等离子体中不同类型强迫下交叉型标度指数的量化
Quantification of scaling exponent with crossover type phenomena for different types of forcing in DC glow discharge plasma
摘要：
我们对直流辉光放电中不同气压下获得的浮置电位起伏施加不同的强迫（噪声、正弦、平方），用去趋势分形分析方法对标度区进行了详细的研究。通过递归图技术观察动力学中的转变，这是观察动力学中的临界状态转变的有效方法。递归量化分析是研究递归性的一个合适工具，它揭示了非线性涨落的复杂性，递归性是一个普遍存在的特征，它为深入了解真实动力系统的动力学提供了一个很好的工具。提出了一种非正式的平稳性测试，它检查在时间序列的不同段中对动态的非线性近似的兼容性。在正弦的情况下，噪声，平方强迫施加在波动上获得在P= 0.12毫巴，只有一个主要的标度区域被观察到，而施加在波动上的强迫（P= 0.004毫巴）两个突出的标度区域已被可靠地探索使用不同的强迫振幅指示交叉现象的签名。此外，在这些标度区域之一中观察到了持久性长程行为。本文对正弦方波型力幅值和频率增加时标度指数的定量化进行了全面的研究。标度指数被设想为时间序列的粗糙度。该方法提供了一个单一的量化思想的标度指数量化的相关性的信号。
英文摘要：
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.
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