Elastic properties of nuclear pasta in a fully three-dimensional geometry

Xia, Caichu; Maruyama, Toshiki; Yasutake, Nobutoshi; Tatsumi, Toshitaka; Zhang, Yingxun

doi:10.1016/j.physletb.2023.137769

Cited by 2 publications

(21 citation statements)

References 16 publications

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“…Their calculations were performed within the Thomas-Fermi approach based on the relativistic-mean-field model, and thus should include a change in the cluster cross-section shape with increasing deformation. The fit for the transversal shear modulus suggested in [45] is shown by a dotted line in Figure 3. It predicts a much smaller suppression of C than our result (16).…”

Section: Resultsmentioning

confidence: 99%

“…Recently, the authors of [45] analyzed the elastic properties of nuclear pasta in a full three-dimensional geometry. Their calculations were performed within the Thomas-Fermi approach based on the relativistic-mean-field model, and thus should include a change in the cluster cross-section shape with increasing deformation.…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

“…However, we should note that rather large deformations (from a hexagonal to a simple lattice) were applied to extract C in [45]. Specifically, the authors of [45] performed numerical simulations for a wide set of deformation parameters at a fixed baryon number density and fitted the results by their Equation (13). As a result, their Equation ( 13) reproduces well the deformation energy for the whole deformation path from one hexagonal to another hexagonal lattice via simple lattice (see Figure 3 in [45]).…”

Section: Resultsmentioning

confidence: 99%

“…Most of the results were obtained analytically, using some simplified assumptions. The elastic properties of the mantle were also studied using molecular dynamics [44] and relativistic-mean-field model [45]; special attention was paid to the problem of effective shear modulus in a realistic case in which non-spherical nuclei are not well ordered, considering global hydrodynamical scales of a star, i.e., the mantle has a "polycrystalline" structure [46].…”

Section: Introductionmentioning

confidence: 99%

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The Elasticity of the Neutron Star Mantle: The Improved Compressible Liquid Drop Model for Cylindrical Phases

Chugunov

2023

Universe

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Neutron stars are the densest objects in the Universe. They have a microscopically homogeneous core and heterogeneous crust. In particular, there may be a specific layer inside neutron stars, the mantle, which consists of substantially non-spherical nuclei immersed in a background of relativistic degenerate electrons and quasi-free neutrons. In this paper, we reconsider the transverse shear modulus for cylindrical phases of the mantle within the framework of the compressible liquid drop model. We demonstrate that transverse shearing affects the shape of nuclear clusters: their cross-section becomes elliptical. This effect reduces the respective elastic constant. Using a simple model, we perform all derivations analytically and obtain the expression for the transverse shear modulus, which can be useful for astrophysical applications.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The Elasticity of the Neutron Star Mantle: The Improved Compressible Liquid Drop Model for Cylindrical Phases

Chugunov

2023

Universe

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Pasta Phases in Neutron Star Mantle: Extended Thomas–Fermi vs. Compressible Liquid Drop Approaches

Shchechilin

Chugunov

et al. 2022

Universe

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Nuclear pasta phases in the neutron stars mantle can affect the mechanical and transport properties of superdense matter, thus playing an important role in the dynamics and evolution of neutron stars. In this paper, we compare results obtained by the Extended Thomas–Fermi (ETF) method with the compressible liquid drop model (CLDM), based on the thermodynamically consistent description of the surface properties calculated for the two-phase plane interface and the same energy-density functional (for numerical illustration, we applied the Skyrme-type functional SLy4). Our ETF calculations found that pasta phases in cylindrical form cover a significant crustal region (both normal and inverse phases, aka spaghetti and bucatini are presented). Meanwhile, within the applied CLDM framework, which includes the thermodynamically required effect of neutron adsorption on the cluster’s surface but neglects curvature corrections, only the spaghetti phase was found to be energetically favorable in the small density range prior to crust–core transition. On the other hand, the recent CLDM of Dinh Thi et al., 2021, which, on the contrary, accounts for curvature term but neglects neutron adsorption, predicts pasta phase onset in better agreement with the ETF. This fact highlights the importance of the curvature effects and allows counting on the potential validity of the CLDMs as a convenient, transparent and accurate tool for investigation of the pasta-phase properties.

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Elastic properties of nuclear pasta in a fully three-dimensional geometry

Cited by 2 publications

References 16 publications

The Elasticity of the Neutron Star Mantle: The Improved Compressible Liquid Drop Model for Cylindrical Phases

The Elasticity of the Neutron Star Mantle: The Improved Compressible Liquid Drop Model for Cylindrical Phases

Pasta Phases in Neutron Star Mantle: Extended Thomas–Fermi vs. Compressible Liquid Drop Approaches

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