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Variational principle for stars with a phase transition. / Yudin, A. V.; Razinkova, T. L.; Nadyozhin, D. K.

In: Astronomy Letters, Vol. 43, No. 1, 01.01.2017, p. 50-60.

Research output: Contribution to journal › Article › peer-review

Harvard

Yudin, AV, Razinkova, TL & Nadyozhin, DK 2017, 'Variational principle for stars with a phase transition', Astronomy Letters, vol. 43, no. 1, pp. 50-60. https://doi.org/10.1134/S1063773717010054

APA

Yudin, A. V., Razinkova, T. L., & Nadyozhin, D. K. (2017). Variational principle for stars with a phase transition. Astronomy Letters, 43(1), 50-60. https://doi.org/10.1134/S1063773717010054

Vancouver

Yudin AV, Razinkova TL, Nadyozhin DK. Variational principle for stars with a phase transition. Astronomy Letters. 2017 Jan 1;43(1):50-60. doi: 10.1134/S1063773717010054

Author

Yudin, A. V. ; Razinkova, T. L. ; Nadyozhin, D. K. / Variational principle for stars with a phase transition. In: Astronomy Letters. 2017 ; Vol. 43, No. 1. pp. 50-60.

BibTeX

@article{60f7517ab9f940d583740e2dd6a733c2,
title = "Variational principle for stars with a phase transition",
abstract = "The variational principle for stars with a phase transition has been investigated. The term outside the integral in the expression for the second variation of the total energy of a star is shown to be obtained by passage to the limit from the integration over the region of mixed states in the star. The form of the trial functions ensuring this passage has been found. All of the results have been generalized to the case where general relativity is applicable. The known criteria for the dynamical stability of a star when a new phase appears at its center are shown to follow automatically from the variational principle. Numerical calculations of hydrostatically equilibrium models for hybrid stars with a phase transition have been performed. The form of the trial functions for the second variation of the total energy of a star that describes almost exactly the stability boundaries of such stellar models is proposed.",
keywords = "phase transition, stability of stars, variational principle",
author = "Yudin, {A. V.} and Razinkova, {T. L.} and Nadyozhin, {D. K.}",
year = "2017",
month = jan,
day = "1",
doi = "10.1134/S1063773717010054",
language = "English",
volume = "43",
pages = "50--60",
journal = "Astronomy Letters",
issn = "1063-7737",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Variational principle for stars with a phase transition

AU - Yudin, A. V.

AU - Razinkova, T. L.

AU - Nadyozhin, D. K.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - The variational principle for stars with a phase transition has been investigated. The term outside the integral in the expression for the second variation of the total energy of a star is shown to be obtained by passage to the limit from the integration over the region of mixed states in the star. The form of the trial functions ensuring this passage has been found. All of the results have been generalized to the case where general relativity is applicable. The known criteria for the dynamical stability of a star when a new phase appears at its center are shown to follow automatically from the variational principle. Numerical calculations of hydrostatically equilibrium models for hybrid stars with a phase transition have been performed. The form of the trial functions for the second variation of the total energy of a star that describes almost exactly the stability boundaries of such stellar models is proposed.

AB - The variational principle for stars with a phase transition has been investigated. The term outside the integral in the expression for the second variation of the total energy of a star is shown to be obtained by passage to the limit from the integration over the region of mixed states in the star. The form of the trial functions ensuring this passage has been found. All of the results have been generalized to the case where general relativity is applicable. The known criteria for the dynamical stability of a star when a new phase appears at its center are shown to follow automatically from the variational principle. Numerical calculations of hydrostatically equilibrium models for hybrid stars with a phase transition have been performed. The form of the trial functions for the second variation of the total energy of a star that describes almost exactly the stability boundaries of such stellar models is proposed.

KW - phase transition

KW - stability of stars

KW - variational principle

UR - http://www.scopus.com/inward/record.url?scp=85011994950&partnerID=8YFLogxK

U2 - 10.1134/S1063773717010054

DO - 10.1134/S1063773717010054

M3 - Article

AN - SCOPUS:85011994950

VL - 43

SP - 50

EP - 60

JO - Astronomy Letters

JF - Astronomy Letters

SN - 1063-7737

IS - 1

ER -

ID: 10311783