Revisiting the Effects of Compressibility on the Rayleigh-Taylor Instability

Qian-Hong, Zhou; Ding, Li

doi:10.1088/1009-0630/9/4/05

Cited by 3 publications

(4 citation statements)

References 18 publications

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“…The three samples were prepared at the hydrogen flow rate (R H ) of 0 sccm, 15 sccm, 20 sccm, respectively. [8] The Raman scattering spectra of films at different values of R H are shown in Fig. 1.…”

Section: Experiments and Resultsmentioning

confidence: 99%

“…The silicon nanostructure like porous silicon is usually as an assembly of one-dimensional quantum wires on theoretical calculations of the optical absorption. [6,14] However, the Si NPs embedded in different matrix should be thought of as an assembly of zero-dimensional quantum dots according to the experimental analyses, [7][8]12,15] so we model the absorption process assuming the individual Si NP as a spherical particle. The optical absorption from silicon nanostructures depends on (i) The interaction volume of the spherical structures with incident light, (ii) The distribution function of nanoparticle sizes in the system, (iii) The band gaps of Si NPs and (iv) The oscillator strength in Si NPs, among others.…”

Section: Theoretical Descriptionmentioning

confidence: 99%

“…The participation of localized surface states has been suggested to influence the absorption spectrum shape. [8,16,21] These localized states, induced by the atomic disorder (structural or compositional) existing at the surface of Si NPs, are energetically located within the band gap. The actual energy position of the surface states depends on the extent of surface distortion.…”

Section: Tablementioning

confidence: 99%

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Dependence of Optical Absorption in Silicon Nanostructures on Size of Silicon Nanoparticles

Ding¹,

Yuan²,

Meng³

et al. 2011

Commun. Theor. Phys.

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The amorphous silicon nanoparticles (Si NPs) embedded in silicon nitride (SiNx) films prepared by helicon wave plasma-enhanced chemical vapor deposition (HWP-CVD) technique are studied. From Raman scattering investigation, we determine that the deposited film has the structure of silicon nanocrystals embedded in silicon nitride (nc-Si/SiNx) thin film at a certain hydrogen dilution amount. The analysis of optical absorption spectra implies that the Si NPs is affected by quantum size effects and has the nature of an indirect-band-gap semiconductor. Further, considering the effects of the mean Si NP size and their dispersion on oscillator strength, and quantum-confinement, we obtain an analytical expression for the spectral absorbance of ensemble samples. Gaussian as well as lognormal size-distributions of the Si NPs are considered for optical absorption coefficient calculations. The influence of the particle size-distribution on the optical absorption spectra was systematically studied. We present the fitting of the optical absorption experimental data with our model and discuss the results.

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Section: Experiments and Resultsmentioning

confidence: 99%

Section: Theoretical Descriptionmentioning

confidence: 99%

Section: Tablementioning

confidence: 99%

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Dependence of Optical Absorption in Silicon Nanostructures on Size of Silicon Nanoparticles

Ding¹,

Yuan²,

Meng³

et al. 2011

Commun. Theor. Phys.

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“…For instance, the stability of stratified dust clouds suspended in anode plasma was analyzed, and the RT instability was detected [28]. Additionally, the RT instability finds broad applications in inertial confinement fusion [50,51], laboratory plasma [52,53], as well as astrophysical settings like crab nebulae [54] and supernova remnants [55].…”

Section: Introductionmentioning

confidence: 99%

Investigation of the Rayleigh–Taylor instability in charged fluids

Zhang,

Li,

Duan

2023

Commun. Theor. Phys.

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The present study shows that the Rayleigh–Taylor (RT) instability and its growth rate are strongly dependent on the charge-mass ratio of charged particles in a charged fluid. A higher charge-mass ratio of the charged fluid appears to result in a stronger effect of the magnetic field to suppress the RT instability. We study the RT instabilities for both dusty plasma (small charge-mass ratio of charged particles) and ion-electron plasma (large charge-mass ratio of charged particles). It is found that the impact of the external magnetic field to suppress the RT instability for ion-electron plasma is much greater than that for dusty plasma. It is also shown that, for a dusty plasma, in addition to region parameters such as the external magnetic field, region length, its gradient, as well as dust particle parameters such as number density, mass, and charge of dust particles, the growth rate of the RT instability in a dusty plasma also depends on parameters of both electrons and ions such as the number densities and temperatures of both electrons and ions.

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Compressibility effects on Rayleigh–Taylor instability in a vertical inhomogeneous rotating plasma

Hoshoudy

2014

Results in Physics

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a b s t r a c tCompressibility effects on Rayleigh-Taylor instability in inhomogeneous plasma rotating uniformly in an external vertical magnetic field have been investigated. Using the exponential density distribution and in the presence of a fixed boundary condition, the linear growth rate is obtained for a finite compressible plasma layer. As well as the linear growth rate of a heavy compressible plasma layer supported by a lighter one is obtained. It is shown that, in the case of a finite compressible plasma layer and in the absence of an external magnetic field the system is always instable, while in the presence of an external magnetic field the system capitulates to the stability role that plays it. In the case of two compressible plasma layers, the compressibility (the ratio of specific heat values) has a stabilizing role that increases with the presence of an external vertical magnetic field. While the equilibrium pressure at the interface has an instability effect on the growth rates. Ó 2014 The Author. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/3.0/). IntroductionThe instability of the interface between two fluids having different densities and accelerated toward each other is called the Rayleigh-Taylor instability (RTI). This problem for a fluid in a gravitational field was first studied by Rayleigh [1] and later applied to all accelerated fluids by Taylor [2]. The theoretical results of RTI were studied in greater detail by Chandrasekhar [3]. Such instabilities are present in various physical situations and play a prominent role, for instance, in inertial-confinement fusion [4,5] and in supernova explosions in astrophysics [6]. In addition to these applications, the RTI remains a basic problem in fluid dynamics, despite the fact that it has been studied for a number of decades.In fluid mechanics, compressibility is a measure of the relative volume change of a fluid as a response to a pressure change. In other words, a compressible fluid is one in which the fluid density changes when it is subjected to high pressure-gradients.The classical treatment of the RTI uses the incompressible assumption. However, regarding the effect of compressibility a more realistic description of the behavior of astrophysical plasmas in general and solar plasmas in particular is considered. There have been many studies of the effect of compressibility in the classical case. For example, the effect of compressibility on RTI was considered by Vanderwoort [7], Plesset and Hsieh [8], Mathews and Blumenthal [9], Scannapieco [10], Bernstein and Book [11], Baker [12], Newcomb [13], Lezzi and Prosperetti [14]. However, there are no agreeable conclusions accepted widely. Vandervoort and Mathews and Blumenthal found a stabilizing effect of compressibility. On the other hand, Scannapieco and Bernstein and Book concluded that the compressibility has a destabilizing effect, while Baker found both stabilizing and destabilizing effects of compressi...

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Revisiting the Effects of Compressibility on the Rayleigh-Taylor Instability

Cited by 3 publications

References 18 publications

Dependence of Optical Absorption in Silicon Nanostructures on Size of Silicon Nanoparticles

Dependence of Optical Absorption in Silicon Nanostructures on Size of Silicon Nanoparticles

Investigation of the Rayleigh–Taylor instability in charged fluids

Compressibility effects on Rayleigh–Taylor instability in a vertical inhomogeneous rotating plasma

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