RECORD
Effects of Neutrino Trapping on Thermodynamic Properties of Nuclear ``Pasta''
Astrophysics · Submitted 7 Aug 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It is found that at temperatures appropriate to supernova cores, thermal fluctuations would destroy the layered lattice of slab-like nuclei almost independently of the nuclear models and of the degree of the neutrino degeneracy.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
Geometrical structure of matter at subnuclear densities is investigated in the presence of a degenerate gas of neutrinos as encountered in stellar collapse. The crystalline phases with spherical, cylindrical and planar nuclei as well as with spherical and cylindrical nuclear bubbles are considered by using a compressible liquid-drop model. This model allows for uncertainties in the lepton fraction $Y_{\rm L}$ in addition to those in the nuclear surface tension $E_{\rm surf}$ and in the proton chemical potential in bulk neutron matter $\mu_{\rm p}^{(0)}$. The phase diagrams obtained at zero temperature show that only the phases with rod-like and slab-like nuclei occur at typical values of $Y_{\rm L}$, $E_{\rm surf}$ and $\mu_{\rm p}^{(0)}$, whereas the bubble phases, especially with spherical bubbles, are at best expected at hypothetically low values of $Y_{\rm L}$ and/or $E_{\rm surf}$. For the rod-like and slab-like nuclei, thermally induced displacements are calculated from their respective elastic constants. It is found that at temperatures appropriate to supernova cores, thermal fluctuations would destroy the layered lattice of slab-like nuclei almost independently of the nuclear models and of the degree of the neutrino degeneracy.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Geometrical structure of matter at subnuclear densities is investigated in the presence of a degenerate gas of neutrinos as encountered in stellar collapse. | contribution 0.65 | 0.56 | 0.03 | asserted 0.81 |
| s1 | The crystalline phases with spherical, cylindrical and planar nuclei as well as with spherical and cylindrical nuclear bubbles are considered by using a compressible liquid-drop model. | method 0.86 | 0.69 | 0.03 | asserted 0.92 |
| s2 | This model allows for uncertainties in the lepton fraction $Y_{\rm L}$ in addition to those in the nuclear surface tension $E_{\rm surf}$ and in the proton chemical potential in bulk neutron matter $\mu_{\rm p}^{(0)}$. | method 0.96 | 0.44 | 0.03 | asserted 0.95 |
| s3 | The phase diagrams obtained at zero temperature show that only the phases with rod-like and slab-like nuclei occur at typical values of $Y_{\rm L}$, $E_{\rm surf}$ and $\mu_{\rm p}^{(0)}$, whereas the bubble phases, especially with spherical bubbles, are at best expected at hypothetically low values of $Y_{\rm L}$ and/or $E_{\rm surf}$. | result 1.00 | 0.91 | 0.41 | asserted 0.63 |
| s4 | For the rod-like and slab-like nuclei, thermally induced displacements are calculated from their respective elastic constants. | method 0.94 | 0.92 | 0.04 | asserted 0.92 |
| s5 | It is found that at temperatures appropriate to supernova cores, thermal fluctuations would destroy the layered lattice of slab-like nuclei almost independently of the nuclear models and of the degree of the neutrino degeneracy. | result 0.99 | 0.94 | 0.61 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
Geometrical structure of matter at subnuclear densities is investigated in the presence of a degenerate gas of neutrinos as encountered in stellar collapse. The crystalline phases with spherical, cylindrical and planar nuclei as well as with spherical and cylindrical nuclear bubbles are considered by using a compressible liquid-drop model. This model allows for uncertainties in the lepton fraction $Y_{\rm L}$ in addition to those in the nuclear surface tension $E_{\rm surf}$ and in the proton chemical potential in bulk neutron matter $\mu_{\rm p}^{(0)}$. The phase diagrams obtained at zero temperature show that only the phases with rod-like and slab-like nuclei occur at typical values of $Y_{\rm L}$, $E_{\rm surf}$ and $\mu_{\rm p}^{(0)}$, whereas the bubble phases, especially with spherical bubbles, are at best expected at hypothetically low values of $Y_{\rm L}$ and/or $E_{\rm surf}$. For the rod-like and slab-like nuclei, thermally induced displacements are calculated from their respective elastic constants. It is found that at temperatures appropriate to supernova cores, thermal fluctuations would destroy the layered lattice of slab-like nuclei almost independently of the nuclear models and of the degree of the neutrino degeneracy.
Human review
How the literature uses it
1 arXiv paper cite this in 1 sentence
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.