The effect of boundary conditions on Rayleigh-Taylor instability

Ucer, D
Mirnov, VV
Laser experiments are widely used to investigate excitation of Rayleigh-Taylor modes, which are of great importance for astrophysical applications. Measured growth rates are normally compared with either the sharp interface or the smooth gradient model. In the present paper an analytical solution is obtained that is valid for arbitrary density gradient scale L. It is a further development of the Mikaelian & Lindl model. New explicit presentation omega(k) is found which describes all discrete modes at all transverse wavenumbers k with one parametric expression. A critical value of kL is shown to exist when two independent solutions for the fastest growing main mode become degenerate, in this case the growth rate is calculated exactly. The focus is on astrophysical applications when boundary conditions are at infinity. The case of rigid walls is also considered to study the interrelation with the Chandrasekhar model. Results are supposed to be used for nonlinear RT treatment to analyze mixing in supernovae and other RT-driven objects.


A Study on W Ursae Majoris-Type Systems Recognised by the ROTSE-IIId Experiment
Coker, D.; ÖZDEMİR, SACİT; YEŞİLYAPRAK, Cahit; Yerli, Sinan Kaan; AKSAKER, NAZIM; Gucsav, B. B. (Cambridge University Press (CUP), 2013-01-24)
We present a study on characterising the light curves of W UMa-type systems gathered from the archive containing 5 years of data observed with the Robotic Optical Transient Search Experiment Telescope (ROTSE-IIId) located in Turkey. A sample of 45 W UMa-type systems was studied on the basis of Fourier decomposition of light curves and some basic geometrical parameters, namely degree of contact (f), mass ratio (q), and orbital inclination (i), as approximated values for these systems were determined. Moreove...
Modeling of the expansion of ultra-short-pulse laser-produced plasmas in magnetic fields
Ditmire, T; Rubenchik, A; Mirnov, VV; Ucer, D (American Astronomical Society, 2000-04-01)
The study of hot plasma expansion in a uniform magnetic field is of interest for many astrophysical applications. In order to observe this process in laboratory, an experiment is proposed in which an ultrashort laser pulse produces a high-temperature plasma by irradiation of a jet of atomic clusters. The very high laser light absorption exhibited in such a gas of clusters facilitates the creation of a hot (> 5 keV), dense (10(19)-10(20) cm(-3)) plasma with a sharp boundary. The small scale of the plasma ( 1...
The XMM-Newton detection of extended emission from the nova remnant of T Pyxidis
Balman, Şölen (Oxford University Press (OUP), 2010-05-01)
We report the detection of an extended X-ray nebulosity with an elongation from north-east to south-west in excess of 15 arcsec in a radial profile and imaging of the recurrent nova T Pyx using the archival data obtained with the X-ray Multi-Mirror Mission (XMM-Newton), European Photon Imaging Camera (pn instrument). The signal-to-noise ratio in the extended emission (above the point source and the background) is 5.2 over the 0.3-9.0 keV energy range and 4.9 over the 0.3-1.5 keV energy range. We calculate a...
The X-ray spectral evolution of classical Nova V1974 Cygni 1992: A reanalysis of the ROSAT data
Balman, Şölen; Krautter, J; Ogelman, H (IOP Publishing, 1998-05-20)
We present a spectral analysis of the archival X-ray data of classical Nova V1974 Cygni 1992 (Nova Cygni 1992) obtained by the ROSAT Position Sensitive Proportional Counter (PSPC). The X-ray spectrum is fitted with a two-component model. The first component is a white dwarf atmosphere emission model developed for the remnants of classical novae near the Eddington luminosity. The model is used to fit the soft X-ray data in the similar to 0.1-1.0 keV range, where the bulk of emission is below 0.7 keV. The sec...
Investigations of pulsational properties and evolution of propagation diagram in some delta Scuti star models
Kiziloglu, N; Kirbiyik, H; Civelek, R (World Scientific Pub Co Pte Lt, 2003-07-01)
An investigation on the subject of evolution of propagation diagrams and obtaining the theoretical frequency spectrum of some delta Scuti star models with masses around 2 M-circle dot has been presented. The variations of some eigenfunctions throughout the star, the variation of omega(2) with logT(e) and the distribution of nodes of eigenfunctions of some modes along with the evolution of the star have been plotted and examined. For the models at the ZAMS phase, pure acoustic modes in the outer stellar laye...
Citation Formats
D. Ucer and V. Mirnov, “The effect of boundary conditions on Rayleigh-Taylor instability,” ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES, pp. 509–512, 2000, Accessed: 00, 2020. [Online]. Available: