Similarity scaling for low-pressure capacitive radio-frequency CF 4 plasmas across operation modes

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Authors: Zilu Zhou, Xiaokun Wang, Hanyang Li, Julian Schulze, Peter Hartmann, Zoltán Donkó, Yongxin Liu, Yangyang Fu
Cited by: 2
References: 57

Abstract

Similarity laws (SLs) describe how physical characteristics in plasma discharges remain consistent at different dimensional scales, and they have been verified in electropositive capacitively coupled radio-frequency (RF) plasmas across a wide range of discharge conditions. In this work, we explore the properties of similarity scaling in low-pressure CF_{4} capacitive RF plasma via fully kinetic particle-in-cell/Monte Carlo collision simulations. We find that under our conditions, the densities of all charged particles exhibit similarity. This property arises as the collision reactions governing the changes in particle density are all linear reactions, whose reaction rates satisfy the SL scaling. The similarity factor of electron density is consistent with classical similarity theory. However, the similarity factor of the density of each ion species deviates consistently from similarity theory. The reason for this deviation across all discharge modes, including striation, drift-ambipolar, and α-modes, is discussed. Furthermore, we show that this similarity property of ion densities constitutes a destruction of discharge similarity in the striation mode. This study improves the understanding of the similarity laws in electronegative RF discharges.

Fields of Study & Subjects

Plasma Diagnostics and Applications Plasma Applications and Diagnostics Particle accelerators and beam dynamics

Publication details

Journal / source
Physical review. E
Publisher
American Physical Society (APS)
Volume
113
Issue
2
Pages
025202–025202
Publication date
15 January 2026
Language
EN