Neutron Star Inner Crust at Finite Temperatures: A Comparison Between Compressible Liquid Drop and Extended Thomas–Fermi Approaches

We investigate the effects of temperature on the properties of the inner crust of a non-accreting neutron star. To this aim, we employ two different treatments: the compressible liquid drop model (CLDM) and the temperature-dependent extended Thomas–Fermi (TETF) method. Our systematic comparison show...

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Main Authors: Guilherme Grams, Nikolai N. Shchechilin, Théau Diverrès, Anthea F. Fantina, Nicolas Chamel, Francesca Gulminelli
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Universe
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Online Access:https://www.mdpi.com/2218-1997/11/6/172
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author Guilherme Grams
Nikolai N. Shchechilin
Théau Diverrès
Anthea F. Fantina
Nicolas Chamel
Francesca Gulminelli
author_facet Guilherme Grams
Nikolai N. Shchechilin
Théau Diverrès
Anthea F. Fantina
Nicolas Chamel
Francesca Gulminelli
author_sort Guilherme Grams
collection DOAJ
description We investigate the effects of temperature on the properties of the inner crust of a non-accreting neutron star. To this aim, we employ two different treatments: the compressible liquid drop model (CLDM) and the temperature-dependent extended Thomas–Fermi (TETF) method. Our systematic comparison shows an agreement between the two methods on their predictions for the crust thermodynamic properties. We find that the CLDM description can also reproduce reasonably well the TETF composition especially if the surface energy is optimized on the ETF calculation. However, the neglect of neutron skin in CLDM leads to an overestimation of the proton radii.
format Article
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institution Kabale University
issn 2218-1997
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publisher MDPI AG
record_format Article
series Universe
spelling doaj-art-e6ec35e0763b435781034149aa4df44e2025-08-20T03:32:32ZengMDPI AGUniverse2218-19972025-05-0111617210.3390/universe11060172Neutron Star Inner Crust at Finite Temperatures: A Comparison Between Compressible Liquid Drop and Extended Thomas–Fermi ApproachesGuilherme Grams0Nikolai N. Shchechilin1Théau Diverrès2Anthea F. Fantina3Nicolas Chamel4Francesca Gulminelli5Institut d’Astronomie et d’Astrophysique, CP-226, Université Libre de Bruxelles, 1050 Brussels, BelgiumInstitut d’Astronomie et d’Astrophysique, CP-226, Université Libre de Bruxelles, 1050 Brussels, BelgiumGrand Accélérateur National d’Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Boulevard Henri Becquerel, 14076 Caen, FranceInstitut d’Astronomie et d’Astrophysique, CP-226, Université Libre de Bruxelles, 1050 Brussels, BelgiumInstitut d’Astronomie et d’Astrophysique, CP-226, Université Libre de Bruxelles, 1050 Brussels, BelgiumUniversité de Caen Normandie, ENSICAEN, CNRS/IN2P3, LPC Caen UMR6534, 14000 Caen, FranceWe investigate the effects of temperature on the properties of the inner crust of a non-accreting neutron star. To this aim, we employ two different treatments: the compressible liquid drop model (CLDM) and the temperature-dependent extended Thomas–Fermi (TETF) method. Our systematic comparison shows an agreement between the two methods on their predictions for the crust thermodynamic properties. We find that the CLDM description can also reproduce reasonably well the TETF composition especially if the surface energy is optimized on the ETF calculation. However, the neglect of neutron skin in CLDM leads to an overestimation of the proton radii.https://www.mdpi.com/2218-1997/11/6/172neutron starsfinite temperature equation of stateclusterized matter
spellingShingle Guilherme Grams
Nikolai N. Shchechilin
Théau Diverrès
Anthea F. Fantina
Nicolas Chamel
Francesca Gulminelli
Neutron Star Inner Crust at Finite Temperatures: A Comparison Between Compressible Liquid Drop and Extended Thomas–Fermi Approaches
Universe
neutron stars
finite temperature equation of state
clusterized matter
title Neutron Star Inner Crust at Finite Temperatures: A Comparison Between Compressible Liquid Drop and Extended Thomas–Fermi Approaches
title_full Neutron Star Inner Crust at Finite Temperatures: A Comparison Between Compressible Liquid Drop and Extended Thomas–Fermi Approaches
title_fullStr Neutron Star Inner Crust at Finite Temperatures: A Comparison Between Compressible Liquid Drop and Extended Thomas–Fermi Approaches
title_full_unstemmed Neutron Star Inner Crust at Finite Temperatures: A Comparison Between Compressible Liquid Drop and Extended Thomas–Fermi Approaches
title_short Neutron Star Inner Crust at Finite Temperatures: A Comparison Between Compressible Liquid Drop and Extended Thomas–Fermi Approaches
title_sort neutron star inner crust at finite temperatures a comparison between compressible liquid drop and extended thomas fermi approaches
topic neutron stars
finite temperature equation of state
clusterized matter
url https://www.mdpi.com/2218-1997/11/6/172
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