Time-Dependent Hartree-Fock Approach to Nuclear Pasta at Finite Temperature

Schuetrumpf, Bastian; Klatt, Michael A.; Iida, Kei; Maruhn, J. A.; Mecke, Klaus; Reinhard, P.‐G.

doi:10.1088/1742-6596/426/1/012009

Cited by 5 publications

(8 citation statements)

References 30 publications

(32 reference statements)

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“…The Minkowski functionals and tensors are robust, efficient, and versatile structure measures, which have been successfully applied in physical and biological systems on all length scales from nuclear physics, over condensed and soft matter or plasma, to astronomy and cosmology, and to pattern analysis…”

Section: Alternative Anisotropy Measures Based On Minkowski Tensorsmentioning

confidence: 99%

Mean-intercept anisotropy analysis of porous media. II. Conceptual shortcomings of the MIL tensor definition and Minkowski tensors as an alternative

2017

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Our analysis reveals several shortcomings of the mean intercept length tensor analysis that pose conceptual problems and limitations on the information content of this commonly used analysis method. We suggest the Minkowski tensors from integral geometry as alternative sensitive measures of anisotropy. The Minkowski tensors allow for a robust, comprehensive, and systematic approach to quantify various aspects of structural anisotropy. We show the Minkowski tensors to be more sensitive, in the sense, that they can quantify the remnant anisotropy of structures not captured by the mean intercept length analysis. If applied to porous tissue and microstructures, this improved structure characterization can yield new insights into the relationships between geometry and material properties.

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Section: Alternative Anisotropy Measures Based On Minkowski Tensorsmentioning

confidence: 99%

Mean-intercept anisotropy analysis of porous media. II. Conceptual shortcomings of the MIL tensor definition and Minkowski tensors as an alternative

2017

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“…In three dimensions the Minkowski functionals are quantities proportional to the volume V , surface area A, mean breadth B and Euler characteristic χ, see table II. [16]. K is the domain where the functionals are evaluated while κ1 and κ2 are the principal curvatures on ∂K.…”

Section: B Topologymentioning

confidence: 99%

“…Approaches to the problem that do not explicitly assume any shape for the nuclear pasta have also been considered. They include calculations based on the Thomas-Fermi approximation [2,[12][13][14], Hartree-Fock methods [15][16][17], density-functional theory [18], relativistic mean field approximation [10,19], quantum molecular dynamics (QMD) [20][21][22][23][24][25][26] and semi-classical molecular dynamics (MD) [6,7,[27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

“…All the works described in the paragraph above conclude that matter just below nuclear saturation density forms unusual structures with geometrical shapes that depend on temperature, proton fraction and density. Some of these works, mainly the ones using a liquid-drop model and Thomas-Fermi approximation, use a Wigner-Seitz cell approximation to determine the periodicity of arXiv:1307.1678v1 [nucl-th] 5 Jul 2013 the pasta shapes [4,8,10,11,14,18] while other works use a unit cell to account for the periodicity of the system [2,9,13,[15][16][17]. Meanwhile, works based on QMD and MD methods use larger volumes and do not assume any periodicity in the pasta shapes besides the one imposed by periodic boundary conditions [6,7,[20][21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

“…They were first used to describe the topology of nuclear pasta structures by Watanabe et al in the context of quantum molecular dynamics [22,23,25]. More recently Dorso et al calculated the Minkowski functionals for pasta structures obtained from classical molecular dynamics [30] while Schuetrumpf et al did the same using a timedependent Hartree-Fock approach [16].…”

Section: Introductionmentioning

confidence: 99%

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Nuclear “pasta” formation

et al. 2013

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The formation of complex nonuniform phases of nuclear matter, known as nuclear pasta, is studied with molecular dynamics simulations containing 51 200 nucleons. A phenomenological nuclear interaction is used that reproduces the saturation binding energy and density of nuclear matter. Systems are prepared at an initial density of 0.10 fm −3 and then the density is decreased by expanding the simulation volume at different rates to densities of 0.01 fm −3 or less. An originally uniform system of nuclear matter is observed to form spherical bubbles ("swiss cheese"), hollow tubes, flat plates ("lasagna"), thin rods ("spaghetti") and, finally, nearly spherical nuclei with decreasing density. We explicitly observe nucleation mechanisms, with decreasing density, for these different pasta phase transitions. Topological quantities known as Minkowski functionals are obtained to characterize the pasta shapes. Different pasta shapes are observed depending on the expansion rate. This indicates non equilibrium effects. We use this to determine the best ways to obtain lower energy states of the pasta system from MD simulations and to place constrains on the equilibration time of the system.

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Charged Ising model of neutron star matter

Hasnaoui

Piekarewicz

2013

Phys. Rev. C

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Time-Dependent Hartree-Fock Approach to Nuclear Pasta at Finite Temperature

Cited by 5 publications

References 30 publications

Mean-intercept anisotropy analysis of porous media. II. Conceptual shortcomings of the MIL tensor definition and Minkowski tensors as an alternative

Mean-intercept anisotropy analysis of porous media. II. Conceptual shortcomings of the MIL tensor definition and Minkowski tensors as an alternative

Nuclear “pasta” formation

Charged Ising model of neutron star matter

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