“Parking-garage” structures in nuclear astrophysics and cellular biophysics

Berry, Don; Caplan, M. E.; Horowitz, C. J.; Huber, Greg; Schneider, A.

doi:10.1103/physrevc.94.055801

Cited by 83 publications

(86 citation statements)

References 26 publications

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“…The plots presented here are similar to the ones obtained numerically (see [23], [24], [25], [26] and references therein) in the description of nuclear spaghetti. On the other hand, in the present case the gauged solitons (besides to be analytic) also include the effects of their own electromagnetic field in a self-consistent way.…”

Section: Discussionsupporting

confidence: 85%

Analytic crystals of solitons in the four dimensional gauged non-linear sigma model

Canfora

Vera

2019

Eur. Phys. J. C

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The first analytic topologically non-trivial solutions in the (3+1)-dimensional gauged non-linear sigma model representing multi-solitons at finite volume with manifest ordered structures generating their own electromagnetic field are presented. The complete set of seven coupled non-linear field equations of the gauged non-linear sigma model together with the corresponding Maxwell equations are reduced in a self-consistent way to just one linear Schrodinger-like equation in two dimensions. The corresponding two dimensional periodic potential can be computed explicitly in terms of the solitons profile. The present construction keeps alive the topological charge of the gauged solitons. Both the energy density and the topological charge density are periodic and the positions of their peaks show a crystalline order. These solitons describe configurations in which (most of) the topological charge and total energy are concentrated within three-dimensional tube-shaped regions. The electric and magnetic fields vanish in the center of the tubes and take their maximum values on their surface while the electromagnetic current is contained within these tube-shaped regions. Electromagnetic perturbations of these families of gauged solitons are shortly discussed.

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Section: Discussionsupporting

confidence: 85%

Analytic crystals of solitons in the four dimensional gauged non-linear sigma model

Canfora

Vera

2019

Eur. Phys. J. C

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“…1 of Ref. [97] for a Y p = 0.40 system with 40 000 nucleons, protons and neutrons in the simulation volume initially bind locally due to the short-range nuclear attraction to form high density filaments. Over time, fluctuations due to the Coulomb repulsion introduce long-range correlations in the system and the filaments rearrange themselves.…”

Section: Domains and Defectsmentioning

confidence: 99%

“…For systems with proton fraction Y p = 0.30 parallel plates perforated by an hexagonal arrangement of circular holes, the "waffle" phase [12], form. Meanwhile, for proton fraction Y p = 0.40 the system arranges itself in parallel plates connected by helical ramps, known "parking garage" structures [97]. The "waffle" phase [12], is similar to hexagonal networks seen in some phospholipid systems [89,90,100], while the "parking garage" structure analog in lipid systems is known as Terasaki ramps [95,96].…”

Section: Domains and Defectsmentioning

confidence: 99%

Domains and defects in nuclear pasta

et al. 2018

Self Cite

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Nuclear pasta topology is an essential ingredient to determine transport properties in the inner crust of neutron stars. We perform semi-classical molecular dynamics simulations of nuclear pasta for proton fractions Yp = 0.30 and Yp = 0.40 near one third of nuclear saturation density, n = 0.05 fm −3 , at a temperature T = 1.0 MeV. Our simulations are, to our knowledge, the largest nuclear pasta simulations to date and contain up to 3 276 800 nucleons in the Yp = 0.30 and 819 200 nucleons in the Yp = 0.40 case. An algorithm to determine which nucleons are part of a given sub-domain in the system is presented. By comparing runs of different sizes we study finite size effects, equilibration time, the formation of multiple domains and defects in the pasta structures, as well as the structure factor dependence on simulation size. Although we find qualitative agreement between the topological structure and the structure factors of runs with 51 200 nucleons and those with 819 200 nucleons or more, we show that simulations with hundreds of thousands of nucleons may be necessary to accurately predict pasta transport properties. arXiv:1807.00102v1 [nucl-th]

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“…From the 70's to date Oldershaw has been making some very valuable contributions to develop his "Self-Similar Cosmological Model SSCM", Oldershaw (1989), (2007), (2008), see also Wikiversity, Mazilu et al (2014), Berry et al (2016), Chen et al (2017), Fedosin (2017. In one of his contributions, Oldershaw (2008), compares some atomic with planetary nebula morphologies and reminds in Oldershaw (2014) that Bohr's celebrated model of the H atom "was based on direct analogy between atoms and the Solar System.…”

Section: Basis Of Cosmic Conformal Invariancementioning

confidence: 99%