Fractal structure of low-temperature plasma of arc discharge as a consequence of the interaction of current sheets

Smolanov, N. A.

doi:10.1088/1742-6596/669/1/012055

Cited by 6 publications

(1 citation statement)

References 6 publications

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“…Experimental evidence suggests that equation ( 1) can be used to study the nonlinear oscillation produced by the plasma physics fractal structures that arise when a metal target is hit with a sufficiently intense laser pulse producing aerosol particles, which are sources of fractal aggregates from laser plasma. [50][51][52][53][54][55] In other words, equation (1) can be used to characterize the dynamics phenomena that occur when high-density plasma interacts with high-frequency electromagnetic waves. [56][57][58][59] We shall next use the two-scale fractal transform to write equation ( 1) in equivalent form.…”

Section: Introductionmentioning

confidence: 99%

New analytical solution of the fractal anharmonic oscillator using an ancient Chinese algorithm: Investigating how plasma frequency changes with fractal parameter values

Elı́as-Zúñiga

Martínez-Romero

Olvera-Trejo

2022

Journal of Low Frequency Noise, Vibration and Active Control

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This paper uses the two-scale fractal dimension transform and He’s formula derived from the ancient Chinese algorithm Ying Bu Zu Shu to find the approximate frequency–amplitude expression of the fractal and forced anharmonic oscillator that can be used to study the nonlinear oscillations produced by the plasma physics fractal structures. The results show how the electron frequency and wavelength change as a function of the plasma physics fractal structure. In fact, if the value of the fractal parameter is decreased, the wavelength increases, and consequently, the system frequency decreases. The introduced solution procedure sheds a bright light on the easy-to-follow steps to obtain an accurate steady-state analytical solution of fractal anharmonic nonlinear oscillators.

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Section: Introductionmentioning

confidence: 99%

New analytical solution of the fractal anharmonic oscillator using an ancient Chinese algorithm: Investigating how plasma frequency changes with fractal parameter values

Elı́as-Zúñiga

Martínez-Romero

Olvera-Trejo

2022

Journal of Low Frequency Noise, Vibration and Active Control

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Fractal analysis for low temperature physics

Chernogor

Lazorenko

Onishchenko

2023

Low Temperature Physics

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A short review of existing methods of monofractal analysis proposed for low temperature physics investigations is presented. Based on the nature of the algorithms used, a new classification of modern monofractal analysis methods is proposed. The properties, the advantages and the disadvantages of these methods are considered. An important new concept of second-order fractals is introduced. Using the set of simple deterministic theoretical models of both the second-order fractal signals created especially for this and the traditional fractal signals, the results of their comparison based on the wavelet analysis are shown. The peculiarities of the second-order fractals are discussed.

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Grad-Shafranov Equation in Fractal Dimensions

El-Nabulsi

Anukool

2022

Fusion Science and Technology

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Fractal structure of low-temperature plasma of arc discharge as a consequence of the interaction of current sheets

Cited by 6 publications

References 6 publications

New analytical solution of the fractal anharmonic oscillator using an ancient Chinese algorithm: Investigating how plasma frequency changes with fractal parameter values

New analytical solution of the fractal anharmonic oscillator using an ancient Chinese algorithm: Investigating how plasma frequency changes with fractal parameter values

Fractal analysis for low temperature physics

Grad-Shafranov Equation in Fractal Dimensions

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