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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…

High Energy Astrophysical Phenomena · Physics 2024-07-24 Lee Lindblom

Astrophysical observations of neutron stars probe the structure of dense nuclear matter and have the potential to reveal phase transitions at high densities. Most recent analyses are based on parametrized models of the equation of state…

High Energy Astrophysical Phenomena · Physics 2025-05-13 Reed Essick , Isaac Legred , Katerina Chatziioannou , Sophia Han , Philippe Landry

Parameterized representations of the equation of state play an important role in efforts to measure the properties of the matter in the cores of neutron stars using astronomical observations. New representations are presented here that are…

High Energy Astrophysical Phenomena · Physics 2018-07-04 Lee Lindblom

Spectral representations have been shown to provide an efficient way to represent the poorly understood high-density portion of the neutron-star equation of state. This paper shows how the efficiency and accuracy of those representations…

High Energy Astrophysical Phenomena · Physics 2022-04-13 Lee Lindblom

In the current work an equation of state model with a first-order phase transition for astrophysical applications is presented. The model is based on a two-phase approach for quark-hadron phase transitions, which leads by construction to a…

Nuclear Theory · Physics 2021-01-26 Niels-Uwe F. Bastian

Methods are developed for constructing spectral representations of cold (barotropic) neutron-star equations of state. These representations are faithful in the sense that every physical equation of state has a representation of this type,…

High Energy Astrophysical Phenomena · Physics 2010-12-23 Lee Lindblom

Causal parametric representations of neutron-star equations of state are constructed here using Chebyshev polynomial based spectral expansions. The accuracies of these representations are evaluated for a collection of model equations of…

Nuclear Theory · Physics 2024-10-01 Lee Lindblom , Tianji Zhou

Neutron stars and supernovae provide cosmic laboratories of highly compressed matter at supra nuclear saturation density which is beyond the reach of terrestrial experiments. The properties of dense matter is extracted by combining the…

Nuclear Theory · Physics 2023-05-02 Kohsuke Sumiyoshi , Toru Kojo , Shun Furusawa

High-accuracy numerical simulations of merging neutron stars play an important role in testing and calibrating the waveform models used by gravitational wave observatories. Obtaining high-accuracy waveforms at a reasonable computational…

General Relativity and Quantum Cosmology · Physics 2019-12-04 Francois Foucart , Matthew D. Duez , Alana Gudinas , Francois Hebert , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel

We examine which first order phase transitions are consistent with today's astrophysical constraints. In particular, we explore how a well-constrained mass-radius data point would restrict the admissible parameter space and to this end, we…

Nuclear Theory · Physics 2024-03-26 Jan-Erik Christian , Jürgen Schaffner-Bielich , Stephan Rosswog

One of the key ingredients to understand the properties of neutrons stars is the equation of state at finite densities far beyond nuclear saturation. Investigating the phase structure of quark matter that might be realized in the core of NS…

Nuclear Theory · Physics 2010-03-04 T. Klahn , C. D. Roberts , D. B. Blaschke , F. Sandin

Various theoretical arguments motivate an expectation of a phase transition in matter at extreme densities above nuclear density, accompanied by hopes that gravitational wave observations may reveal the properties of such a transition.…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Steven L. Liebling , Carlos Palenzuela , Luis Lehner

The equation of state is fundamental in describing matter under the extreme conditions characteristic of neutron stars and is central to advancing our understanding of dense matter physics. A critical challenge, however, lies in accurately…

High Energy Astrophysical Phenomena · Physics 2025-01-14 Anshuman Verma , Asim Kumar Saha , Ritam Mallick

An extensive set of realistic equations of state for superdense matter with a quark phase transition is derived on the basis of the three equations of state for neutron matter and the eight variants of strange quark-gluon plasmas in the MIT…

Astrophysics · Physics 2009-12-30 G. B. Alaverdyan , A. R. Harutyunyan , Yu. L. Vartanyan

The rapid increase in the number and precision of astrophysical probes of neutron stars in recent years allows for the inference of their equation of state. Observations target different macroscopic properties of neutron stars which vary…

High Energy Astrophysical Phenomena · Physics 2022-03-31 Isaac Legred , Katerina Chatziioannou , Reed Essick , Philippe Landry

Using the most recent realistic effective interactions for nuclear matter with a smooth extrapolation to high densities including causality, we constrain the equation of state and calculate maximum masses of rotating neutron stars. First…

Astrophysics · Physics 2009-10-31 H. Heiselberg , M. Hjorth-Jensen

The past years have witnessed tremendous progress in understanding the properties of neutron stars and of the dense matter in their cores, made possible by electromagnetic observations of neutron stars and the detection of gravitational…

We study current bounds on strong first-order phase transitions (PTs) along the equation of state (EOS) of dense strongly interacting matter in neutron stars, under the simplifying assumption that on either side of the PT the EOS can be…

High Energy Astrophysical Phenomena · Physics 2023-10-31 Tyler Gorda , Kai Hebeler , Aleksi Kurkela , Achim Schwenk , Aleksi Vuorinen

A new method for solving the relativistic inverse stellar structure problem is presented. This method determines a spectral representation of the unknown high density portion of the stellar equation of state from a knowledge of the total…

High Energy Astrophysical Phenomena · Physics 2015-06-05 Lee Lindblom , Nathaniel M. Indik

This study investigates the first-order phase transition within neutron stars, leveraging the deep neural network (DNN) framework alongside contemporary astronomical measurements. The equation of state (EOS) for neutron stars is delineated…

Nuclear Theory · Physics 2024-07-17 Wenjie Zhou , Hong Shen , Jinniu Hu , Ying Zhang
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