Influences of Gap Distance on Plasma Characteristics in Narrow Gap Capacitively Coupled Radio-Frequency Discharge

Abstract

We study the level spacing distribution p(s) in the spectrum of random networks. According to our numerical results, the shape of p(s) in the Erdős-Rényi (E-R) random graph is determined by the average degree k and p(s) undergoes a dramatic change when k is varied around the critical point of the percolation transition, k = 1. When k 1, the p(s) is described by the statistics of the Gaussian orthogonal ensemble (GOE), one of the major statistical ensembles in Random Matrix Theory, whereas at k = 1 it follows the Poisson level spacing distribution. Closely above the critical point, p(s) can be described in terms of an intermediate distribution between Poisson and the GOE, the Brodydistribution. Furthermore, below the critical point p(s) can be given with the help of the regularized Gamma-function. Motivated by these results, we analyse the behaviour of p(s) in real networks such as the internet, a word association network and a protein-protein interaction network as well. When the giant component of these networks is destroyed in a node deletion process simulating the networks subjected to intentional attack, their level spacing distribution undergoes a similar transition to that of the E-R graph.

Control of micro void fraction and optical band gap in intrinsic amorphous silicon thin films (VHF-PECVD) for thin film solar cell application

“…As E d and R increase, the Reactions (8)- (17) becomes dominant, resulting in low quality films. It has been reported that the electron temperature decreases with increasing electrode distances [23][24][25]. As the electron temperature decreases, high quality films should be produced as SiH 3 radicals become dominant.…”

A Microfluidic Atmospheric-Pressure Plasma Reactor for Water Treatment

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Spatial structure of radio-frequency capacitive discharge plasma with ring-shaped hollow electrode using Ar and O2 mixture gases

“…The RF power of 20 W is applied at 13.56 MHz to the electrode via the blocking capacitor and the matching box. A tiny cylindrical Langmuir probe, that consists of a platinum wire of 0.2 mm diameter and 5 mm length, with a parallel resonance filter [34,35] using inductance L and capacitance C, was used for measuring currentvoltage characteristics to estimate plasma parameters such as the electron temperature, density and the plasma potential. Their structures are measured based on the assumption of axial symmetry by moving the probe radially and axially, where r and z are the distances from the center and the surface of the ring-shaped hollow electrode, respectively, as shown in figure 1(b).…”