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Binary system

About: Binary system is a research topic. Over the lifetime, 5788 publications have been published within this topic receiving 97882 citations.


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TL;DR: In this paper, the authors have constructed equilibrium sequences of synchronously rotating, equal-mass binaries in circular orbit with a single parameter (the binary separation) varying along each sequence, using a Newtonian, finite-difference hydrodynamics code.
Abstract: The orbital separation of compact binary stars will shrink with time owing to the emission of gravitational radiation. This inspiral phase of a binary system's evolution generally will be very long compared to the system's orbital period, but the final coalescence may be dynamical and driven to a large degree by hydrodynamic effects, particularly if there is a critical separation at which the system becomes dynamically unstable toward merger. Indeed, if weakly relativistic systems (such as white dwarf-white dwarf binaries) encounter a point of dynamical instability at some critically close separation, coalescence may be entirely a classical, hydrodynamic process. Therefore, a proper investigation of this stage of binary evolution must include three-dimensional hydrodynamic simulations. We have constructed equilibrium sequences of synchronously rotating, equal-mass binaries in circular orbit with a single parameter—the binary separation—varying along each sequence. Sequences have been constructed with various polytropic as well as realistic white dwarf and neutron star equations of state. Using a Newtonian, finite-difference hydrodynamics code, we have examined the dynamical stability of individual models along these equilibrium sequences. Our simulations indicate that no points of instability exist on the sequences we analyzed that had relatively soft equations of state (polytropic sequences with polytropic index n = 1.0 and 1.5 and two white dwarf sequences). However, we did identify dynamically unstable binary models on sequences with stiffer equations of state (n = 0.5 polytropic sequence and two neutron star sequences). We thus infer that binary systems with soft equations of state are not driven to merger by a dynamical instability. For the n = 0.5 polytropic sequence, the separation at which a dynamical instability sets in appears to be associated with the minimum energy and angular momentum configuration along the sequence. Our simulations suggest but do not conclusively demonstrate that, in the absence of relativistic effects, this same association may also hold for binary neutron star systems.

49 citations

Journal ArticleDOI
TL;DR: In this paper, the excess molar volumes and excess isentropic compressibility coefficients were calculated from experimental data and fitted to a Redlich-Kister polynomial function.
Abstract: Densities and speeds of sound of the binary mixtures 1,3-dioxolane + 1-butanol, 1,3-dioxolane + 2-butanol, 1,4-dioxane + 1-butanol, and 1,4-dioxane + 2-butanol have been measured at 25 and 40°C. The excess molar volumes and excess isentropic compressibility coefficients were calculated from experimental data and fitted to a Redlich–Kister polynomial function. Results were analyzed in terms of molecular interactions and compared with literature data.

49 citations

Journal ArticleDOI
TL;DR: In this article, the selection effects that govern the observations of spectroscopic binary stars are investigated numerically and analytically, and the results of the models are compared to the data in the Eighth Catalogue of the Orbital Elements of Spectroscopic Binary Stars (DAO8) compiled by Battenet et al.
Abstract: In order to determine the mass-ratio distribution of spectroscopic binary stars, the selection effects that govern the observations of this class of binary systems are investigated. The selection effects are modelled numerically and analytically. The results of the models are compared to the data inThe Eighth Catalogue of the Orbital Elements of Spectroscopic Binary Stars (DAO8) compiled by Battenet al. (1989). The investigations involve binary systems with Main-Sequence primary components only, in order to avoid confusion of evolutionary and selection effects.

49 citations

Journal ArticleDOI
TL;DR: In this article, the authors measured the densities and viscosities of binary mixtures of ethylene glycol with 2-aminoethanol, 2-chloroethanol and 2-ethoxyethanol.
Abstract: Densities (ρ) and viscosities (η) for the binary mixtures of ethylene glycol with 2-aminoethanol, 2-chloroethanol, 2-ethoxyethanol, benzyl alcohol, pentanol-1, methanol, cyclohexanone, and acetone have been measured over the whole composition range at 293.15 K. The excess volumes and the viscosity deviations were calculated, and the results were fitted to a Redlich−Kister type polynomial relation. The corresponding parameters have been derived. The results were interpreted in terms of specific interactions between the unlike molecules.

49 citations

Journal ArticleDOI
TL;DR: In this paper, a new method was developed for the determination in binary solvent systems of acid dissociation constants of compounds (molecular acids or phenols) used as p K a standards in potentiometric measurements.

49 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202339
202272
2021103
2020135
2019130
2018140