Parametric Representations of Neutron-Star Equations of State With Phase Transitions
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929432116068352 |
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| author | Lindblom, Lee |
| author_facet | Lindblom, Lee |
| contents | This paper explores the use of low-dimensional parametric representations of neutron-star equations of state that include discontinuities caused by phase transitions. The accuracies of optimal piecewise-analytic and spectral representations are evaluated for equations of state having first- or second-order phase transitions with a wide range of discontinuity sizes. These results suggest that the piecewise-analytic representations of these non-smooth equations of state are convergent, while the spectral representations are not. Nevertheless, the lower-order (2 <= N_parms <= 7) spectral representations are found to be more accurate than the piecewise-analytic representations with the same number of parameters. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_16078 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Parametric Representations of Neutron-Star Equations of State With Phase Transitions Lindblom, Lee High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology This paper explores the use of low-dimensional parametric representations of neutron-star equations of state that include discontinuities caused by phase transitions. The accuracies of optimal piecewise-analytic and spectral representations are evaluated for equations of state having first- or second-order phase transitions with a wide range of discontinuity sizes. These results suggest that the piecewise-analytic representations of these non-smooth equations of state are convergent, while the spectral representations are not. Nevertheless, the lower-order (2 <= N_parms <= 7) spectral representations are found to be more accurate than the piecewise-analytic representations with the same number of parameters. |
| title | Parametric Representations of Neutron-Star Equations of State With Phase Transitions |
| topic | High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2407.16078 |