2017/02/22 by Constantinos Constantinou, Madappa Prakash · 5 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Adiabatic process #Causality (physics) #Entropy (arrow of time) #Equation of state #High-pressure geophysics and materials #Limit (mathematics) #Mathematical analysis #Mathematics #Nuclear physics research studies #Parametrization (atmospheric modeling) #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Statistical physics #Theoretical physics #astro-ph.HE #nucl-th
paper · pdf · doi:10.1103/physrevc.95.055802
published in Physical Review C 95(5) (American Institute of Physics) · 12 pages, 12 figures
arxiv created 2017/02/22 · openalex publication_date 2017/05/08 · arxiv updated 2017/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a thermodynamically consistent method by which equations of state based on nonrelativistic potential models can be modified so that they respect causality at high densities, both at zero and finite temperature (entropy). We illustrate the application of the method by using the high-density phase parametrization of the well-known Akmal--Pandharipande--Ravenhall model in its pure neutron matter configuration as an example. We also show that, for models with only contact interactions, the adiabatic speed of sound is independent of the temperature in the limit of very large temperature. This feature is approximately valid for models with finite-range interactions as well, insofar as the temperature dependence they introduce to the Landau effective mass is weak. In addition, our study reveals that in first-principle nonrelativistic models of hot and dense matter, contributions from higher-than-two-body interactions must be screened at high density to preserve causality.