Published April 3, 2024 | Submitted v1
Discussion Paper Open

Finite-temperature expansion of the dense-matter equation of state

  • 1. ROR icon University of Illinois Urbana-Champaign
  • 2. ROR icon Kent State University
  • 3. ROR icon Washington University in St. Louis
  • 4. ROR icon California Institute of Technology

Abstract

In this work we provide a new, well-controlled expansion of the equation of state of dense matter from zero to finite temperatures (T), while covering a wide range of charge fractions (YQ), from pure neutron to isospin symmetric nuclear matter. Our expansion can be used to describe neutron star mergers and core-collapse supernova explosions using as a starting point neutron star observations, while maintaining agreement with laboratory data, in a model independent way. We suggest new thermodynamic quantities of interest that can be calculated from theoretical models or directly inferred by experimental data that can help constrain the finite T equation of state. With our new method, we can quantify the uncertainty in our finite T and YQ expansions in a well-controlled manner without making assumptions about the underlying degrees of freedom. We can reproduce results from a microscopic equation of state up to T=100 MeV for baryon chemical potential μB1100 MeV (12 nsat) within 5% error, with even better results for larger μB and/or lower T. We investigate the sources of numerical and theoretical uncertainty and discuss future directions of study.

Acknowledgement

We acknowledge support from the support from the US-DOE Nuclear Science Grant No. DE-SC0023861 and the National Science Foundation under grants PHY1748621, MUSES OAC-2103680, NP3M PHY2116686, and PHY2309210. D.M is supported by the National Science Foundation Graduate Research Fellowship Program under Grant No. DGE – 1746047 and the Illinois Center for Advanced Studies of the Universe Graduate Fellowship. We also acknowledge support from the Illinois Campus Cluster, a computing resource that is operated by the Illinois Campus Cluster Program (ICCP) in conjunction with the National Center for Supercomputing Applications (NCSA), which is supported by funds from the University of Illinois at Urbana-Champaign. A.H. is partly supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under Award No. #DE-FG02-05ER41375.

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Additional details

Created:
January 29, 2025
Modified:
January 30, 2025