1997/11/10 by A. Thorolfsson, O. E. Rognvaldsson, J. Yngvason +1 · 3 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics and Star Formation Studies #Cyclotron #Cyclotron resonance #Equation of state #Landau quantization #Magnetic field #Neutron #Nuclear matter #Pulsars and Gravitational Waves Research #Warm dense matter #astro-ph
paper · pdf · doi:10.1086/305936
37 pages, 17 figures included, submitted to ApJ
arxiv created 1997/11/10 · openalex publication_date 1998/08/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present numerical calculations of the equation of state for dense matter in high magnetic fields, using a temperature-dependent Thomas-Fermi theory with a magnetic field that takes all Landau levels into account. Free energies for atoms and matter are also calculated, as well as profiles of the electron density as a function of distance from the atomic nucleus for representative values of the magnetic field strength, total matter density, and temperature. The Landau shell structure, which is so prominent in cold dense matter in high magnetic fields, is still clearly present at finite temperature as long as it is less than approximately 1/10 of the cyclotron energy. This structure is reflected in an oscillatory behavior of the equation of state and other thermodynamic properties of dense matter and hence also in profiles of the density and pressure as functions of depth in the surface layers of magnetic neutron stars. These oscillations are completely smoothed out by thermal effects at temperatures of the order of the cyclotron energy or higher.