Phase Diagram of Nuclear Pastas in Neutron Star Crusts
Two neural networks were trained to predict, respectively, the Euler characteristic and the curvature of nuclear pastas in neutron star crust conditions generated by molecular dynamics simulations of neutron star matter with 0.1 < <i>x</i> < 0.5, 0.040 fm<sup>−3</sup> &...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-02-01
|
| Series: | Dynamics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2673-8716/4/1/9 |
| _version_ | 1797241375539855360 |
|---|---|
| author | Jorge A. Muñoz Jorge A. López |
| author_facet | Jorge A. Muñoz Jorge A. López |
| author_sort | Jorge A. Muñoz |
| collection | DOAJ |
| description | Two neural networks were trained to predict, respectively, the Euler characteristic and the curvature of nuclear pastas in neutron star crust conditions generated by molecular dynamics simulations of neutron star matter with 0.1 < <i>x</i> < 0.5, 0.040 fm<sup>−3</sup> < <i>ρ</i> < 0.085 fm<sup>−3</sup> (0.68 × 10<sup>14</sup> g/cm<sup>3</sup> < <i>ρ</i> < 1.43 × 10<sup>14</sup> g/cm<sup>3</sup>), and 0.2 MeV < <i>T</i> < 4.0 MeV, where <i>x</i> is proton content, the density is <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ρ</mi></semantics></math></inline-formula>, and the temperature is <i>T</i>. The predictions of the two networks were combined to determine the nuclear pasta phase that is thermodynamically stable at a given <i>x</i>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ρ</mi></semantics></math></inline-formula>, and <i>T</i>, and a three-dimensional phase diagram that extrapolated slightly the regions of existing molecular dynamics data was computed. The jungle gym and anti-jungle gym structures are prevalent at high temperature and low density, while the anti-jungle gym and anti-gnocchi structures dominate at high temperature and high density. A diversity of structures exist at low temperatures and intermediate density and proton content. The trained models used in this work are open access and available at a public repository to promote comparison to pastas obtained with other models. |
| first_indexed | 2024-04-24T18:22:20Z |
| format | Article |
| id | doaj.art-5ffc874c500342ca8668071a84978d2c |
| institution | Directory Open Access Journal |
| issn | 2673-8716 |
| language | English |
| last_indexed | 2024-04-24T18:22:20Z |
| publishDate | 2024-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Dynamics |
| spelling | doaj.art-5ffc874c500342ca8668071a84978d2c2024-03-27T13:34:03ZengMDPI AGDynamics2673-87162024-02-014115716910.3390/dynamics4010009Phase Diagram of Nuclear Pastas in Neutron Star CrustsJorge A. Muñoz0Jorge A. López1Department of Physics, The University of Texas at El Paso, El Paso, TX 79968, USADepartment of Physics, The University of Texas at El Paso, El Paso, TX 79968, USATwo neural networks were trained to predict, respectively, the Euler characteristic and the curvature of nuclear pastas in neutron star crust conditions generated by molecular dynamics simulations of neutron star matter with 0.1 < <i>x</i> < 0.5, 0.040 fm<sup>−3</sup> < <i>ρ</i> < 0.085 fm<sup>−3</sup> (0.68 × 10<sup>14</sup> g/cm<sup>3</sup> < <i>ρ</i> < 1.43 × 10<sup>14</sup> g/cm<sup>3</sup>), and 0.2 MeV < <i>T</i> < 4.0 MeV, where <i>x</i> is proton content, the density is <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ρ</mi></semantics></math></inline-formula>, and the temperature is <i>T</i>. The predictions of the two networks were combined to determine the nuclear pasta phase that is thermodynamically stable at a given <i>x</i>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ρ</mi></semantics></math></inline-formula>, and <i>T</i>, and a three-dimensional phase diagram that extrapolated slightly the regions of existing molecular dynamics data was computed. The jungle gym and anti-jungle gym structures are prevalent at high temperature and low density, while the anti-jungle gym and anti-gnocchi structures dominate at high temperature and high density. A diversity of structures exist at low temperatures and intermediate density and proton content. The trained models used in this work are open access and available at a public repository to promote comparison to pastas obtained with other models.https://www.mdpi.com/2673-8716/4/1/9neutron star matternuclear pastaMinkowski functionalsmolecular dynamicsnuclear phasesneural networks |
| spellingShingle | Jorge A. Muñoz Jorge A. López Phase Diagram of Nuclear Pastas in Neutron Star Crusts Dynamics neutron star matter nuclear pasta Minkowski functionals molecular dynamics nuclear phases neural networks |
| title | Phase Diagram of Nuclear Pastas in Neutron Star Crusts |
| title_full | Phase Diagram of Nuclear Pastas in Neutron Star Crusts |
| title_fullStr | Phase Diagram of Nuclear Pastas in Neutron Star Crusts |
| title_full_unstemmed | Phase Diagram of Nuclear Pastas in Neutron Star Crusts |
| title_short | Phase Diagram of Nuclear Pastas in Neutron Star Crusts |
| title_sort | phase diagram of nuclear pastas in neutron star crusts |
| topic | neutron star matter nuclear pasta Minkowski functionals molecular dynamics nuclear phases neural networks |
| url | https://www.mdpi.com/2673-8716/4/1/9 |
| work_keys_str_mv | AT jorgeamunoz phasediagramofnuclearpastasinneutronstarcrusts AT jorgealopez phasediagramofnuclearpastasinneutronstarcrusts |