Fractional incompressible stars

Date

2015-10-01

Author

Bayin, Selcuk S.
Krisch, Jean P.

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

153
views

0
downloads

In this paper we investigate the fractional versions of the stellar structure equations for non radiating spherical objects. Using incompressible fluids as a comparison, we develop models for constant density Newtonian objects with fractional mass distributions and/or stress conditions. To better understand the fractional effects, we discuss effective values for the density and equation of state. The fractional objects are smaller and less massive than integer models. The fractional parameters are related to a polytropic index for the models considered.

Subject Keywords

Fractional stars, Compact objects, Incompressible matter, Dense matter, Equation of state, Gravitation

URI

https://hdl.handle.net/11511/65411

Journal

ASTROPHYSICS AND SPACE SCIENCE

DOI

https://doi.org/10.1007/s10509-015-2499-9

Collections

Graduate School of Applied Mathematics, Article

Suggestions

OpenMETU
Core

Fractional Governing Equations of Diffusion Wave and Kinematic Wave Open-Channel Flow in Fractional Time-Space. II. Numerical Simulations Ercan, Ali; Kavvas, M. Levent (2015-09-01) In this study, finite difference numerical methods, first order accurate in time and second order accurate in space, are proposed to solve the governing equations of the one-dimensional unsteady kinematic and diffusion wave open-channel flow processes in fractional time and fractional space, which were derived in the accompanying paper. Advantages of modeling open-channel flow in a fractional time-space framework over integer time-space framework are threefold. First, the nonlocal phenomena in the open-chan...
Fractional Ensemble Average Governing Equations of Transport by Time-Space Nonstationary Stochastic Fractional Advective Velocity and Fractional Dispersion. II: Numerical Investigation Kim, Sangdan; Kavvas, M. L.; Ercan, Ali (2015-02-01) In this paper, the second in a series of two, the theory developed in the companion paper is applied to transport by stationary and nonstationary stochastic advective flow fields. A numerical solution method is presented for the resulting fractional ensemble average transport equation (fEATE), which describes the evolution of the ensemble average contaminant concentration (EACC). The derived fEATE is evaluated for three different forms: (1) purely advective form of fEATE, (2) moment form of the fractional e...
Color engineering of π-conjugated donor-acceptor systems : the role of donor and acceptor units on the neutral state color Ünal, Gönül; Karasu, Atalay; Department of Physics (2011) In this thesis, we investigate the integrability properties of some evolutionary type nonlinear equations in (1+1)-dimensions both with commutative and non-commutative variables. We construct the recursion operators, based on the Lax representation, for such equations. Finally, we question the notion of integrability for a certain one-component non-commutative equation. [We stress that calculations in this thesis are not original.]
Sound Velocity in Dense Matter Such as Neutron Stars Oğurol, Leyla; Tekin, Bayram; Department of Physics (2022-2-11) Properties of matter at ultra-high density, called dense matter, is an important subject that has been studied theoretically and experimentally in recent years. In a very dense system, a composite matter consisting of nucleons, pions, hadrons would overlap, so the new form of matter constituting quarks and gluons would occur at a baryon density of around ten times the ordinary nuclear density. Such a transition could have appeared in the early universe during the first microsecond of the Big Bang, in the co...
Fractional Governing Equations of Diffusion Wave and Kinematic Wave Open-Channel Flow in Fractional Time-Space. I. Development of the Equations Kavvas, M. L.; Ercan, Ali (2015-09-01) In this study the fractional governing equations for diffusion wave and kinematic wave approximations to unsteady open-channel flow in prismatic channels in fractional time-space were developed. The governing fractional equations were developed from the mass and motion conservation equations in order to provide a physical basis to these equations. A fractional form of the resistance formula for open-channel flow was also developed. Detailed dimensional analyses of the derived equations were then performed i...

Citation Formats

S. S. Bayin and J. P. Krisch, “Fractional incompressible stars,” ASTROPHYSICS AND SPACE SCIENCE, pp. 0–0, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65411.