PYTOV is a simple Python implementation to integrate the Tolman-Oppenheimer-Volkoff (TOV) equations.
The program PYTOV integrates the following set of four equations (
This repository contains:
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A data file (bps.dat) containing the low density equation of state known as BPS [3].
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A data file (beta_eos.dat) containing a high density equation of state obtained from a Hartree-Fock calculation of the Quark-Meson Coupling (QMC) model, specifically the Standard variation appearing in [5-7].
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The python script PYTOV.py which integrates the above mentioned equations.
The following is a brief summary of what the code does:
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A high density equation of state file and a low density equation of state file will be read and then combined in a simple manner.
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Simple logarithmic interpolation of the combined equation of state is used [4].
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A simple fixed step fourth order Runge-Kutta method is used to integrate the TOV equations. A central density is specified and the TOV equations are integrated out to the surface of the compact star. This is repeated for a range of densities.
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The required data for a mass vs radius curve is output to a file (compact_stars.dat) along with a file containing the details of the maximum mass compact star (max_mass_star.dat). Running PYTOV will also produce the following figures:
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J. R. Oppenheimer and G. M. Volkoff, G. M., "On Massive Neutron Cores". Physical Review. 55 (4): 374–381 (1939)
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R. C. Tolman, "Static Solutions of Einstein's Field Equations for Spheres of Fluid". Physical Review. 55 (4): 364–373 (1939).
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G. Baym, C. Pethick and P. Sutherland, The ground state of matter at high densities: Equation of state and stellar models, Astrophysical Journal, vol. 170, p.299 (1971)
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W. D. Arnett and R. L. Bowers, A microscopic interpretation of neutron star structure, Astrophysical Journal Supplement, vol. 33, p.415 (1977)
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D. L. Whittenbury, PhD thesis Hadrons and Quarks in Dense Matter: From Nuclear Matter to Neutron Stars, University of Adelaide.
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D. L. Whittenbury, J. D. Carroll, A. W. Thomas, K. Tsushima, and J. R. Stone, Quark-meson coupling model, nuclear matter constraints, and neutron star properties. Phys. Rev. C 89, 065801 (2014)
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D. L. Whittenbury, H. H. Matevosyan, and A. W. Thomas, Hybrid stars using the quark-meson coupling and proper-time Nambu–Jona-Lasinio models. Phys. Rev. C 93, 035807 (2016)