scholarly journals High-Order Multipole and Binary Love Number Universal Relations

Universe ◽  
2021 ◽  
Vol 7 (10) ◽  
pp. 368
Author(s):  
Daniel A. Godzieba ◽  
David Radice
Keyword(s):  
Equations Of State ◽  
Finite Size ◽  
High Order ◽  
Universal Relation ◽  
Love Number ◽  
Data Set ◽  
Finite Size Effects ◽  
Waveform Modeling ◽  
Optimal Value ◽  
New Equation

Using a data set of approximately 2 million phenomenological equations of state consistent with observational constraints, we construct new equation-of-state-insensitive universal relations that exist between the multipolar tidal deformability parameters of neutron stars, Λl, for several high-order multipoles (l=5,6,7,8), and we consider finite-size effects of these high-order multipoles in waveform modeling. We also confirm the existence of a universal relation between the radius of the 1.4M⊙ NS, R1.4 and the reduced tidal parameter of the binary, Λ˜, and the chirp mass. We extend this relation to a large number of chirp masses and to the radii of isolated NSs of different mass M, RM. We find that there is an optimal value of M for every M such that the uncertainty in the estimate of RM is minimized when using the relation. We discuss the utility and implications of these relations for the upcoming LIGO O4 run and third-generation detectors.

Finite Size Effects on Electroluminescence of Nanoscale Semiconducting Polymer Heterojunctions

1997 ◽  
Vol 9 (2) ◽  
pp. 409-412 ◽  
Author(s):  
Samson A. Jenekhe ◽  
Xuejun Zhang ◽  
X. Linda Chen ◽  
Vi-En Choong ◽  
Yongli Gao ◽  
...  
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Semiconducting Polymer

scholarly journals Entanglement, combinatorics and finite-size effects in spin chains

2009 ◽  
Vol 2009 (02) ◽  
pp. P02063 ◽  
Author(s):  
Bernard Nienhuis ◽  
Massimo Campostrini ◽  
Pasquale Calabrese
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Spin Chains ◽  
Finite Size Effects

scholarly journals Development and double cross-validation of new spot urine sodium equation to predict 24-h urine sodium in the Malaysian population

2021 ◽  
Vol 40 (S1) ◽  
Author(s):  
Fatimah Othman ◽  
Rashidah Ambak ◽  
Mohd Azahadi Omar ◽  
Suzana Shahar ◽  
Noor Safiza Mohd Nor ◽  
...  
Keyword(s):  
Cross Validation ◽  
Sodium Intake ◽  
Study Groups ◽  
Urine Collection ◽  
Urine Sodium ◽  
Data Set ◽  
Spot Urine ◽  
Malaysian Population ◽  
New Equation ◽  
Double Cross

Abstract Background Monitoring sodium intake through 24-h urine collection sample is recommended, but the implementation of this method can be difficult. The objective of this study was to develop and validate an equation using spot urine concentration to predict 24-h sodium excretion in the Malaysian population. Methods This was a Malaysian Community Salt Study (MyCoSS) sub-study, which was conducted from October 2017 to March 2018. Out of 798 participants in the MyCoSS study who completed 24-h urine collection, 768 of them have collected one-time spot urine the following morning. They were randomly assigned into two groups to form separate spot urine equations. The final spot urine equation was derived from the entire data set after confirming the stability of the equation by double cross-validation in both study groups. Newly derived spot urine equation was developed using the coefficients from the multiple linear regression test. A Bland-Altman plot was used to measure the mean bias and limits of agreement between estimated and measured 24-h urine sodium. The estimation of sodium intake using the new equation was compared with other established equations, namely Tanaka and INTERSALT. Results The new equation showed the least mean bias between measured and predicted sodium, − 0.35 (− 72.26, 71.56) mg/day compared to Tanaka, 629.83 (532.19, 727.47) mg/day and INTERSALT, and 360.82 (284.34, 437.29) mg/day. Predicted sodium measured from the new equation showed greater correlation with measured sodium (r = 0.50) compared to Tanaka (r =0.24) and INTERSALT (r = 0.44), P < 0.05. Conclusion Our newly developed equation from spot urine can predict least mean bias of sodium intake among the Malaysian population when 24-h urine sodium collection is not feasible.

scholarly journals Nonlocal and Size-Dependent Dielectric Function for Plasmonic Nanoparticles

2019 ◽  
Vol 9 (15) ◽  
pp. 3083
Author(s):  
Kai-Jian Huang ◽  
Shui-Jie Qin ◽  
Zheng-Ping Zhang ◽  
Zhao Ding ◽  
Zhong-Chen Bai
Keyword(s):  
Metallic Nanoparticles ◽  
High Efficiency ◽  
Finite Size ◽  
Plasmonic Nanostructures ◽  
Accurate Analysis ◽  
Finite Size Effects ◽  
Size Dependent ◽  
Quantum Size ◽  
The Impact ◽  
Electron Energy Loss

We develop a theoretical approach to investigate the impact that nonlocal and finite-size effects have on the dielectric response of plasmonic nanostructures. Through simulations, comprehensive comparisons of the electron energy loss spectroscopy (EELS) and the optical performance are discussed for a gold spherical dimer system in terms of different dielectric models. Our study offers a paradigm of high efficiency compatible dielectric theoretical framework for accounting the metallic nanoparticles behavior combining local, nonlocal and size-dependent effects in broader energy and size ranges. The results of accurate analysis and simulation for these effects unveil the weight and the evolution of both surface and bulk plasmons vibrational mechanisms, which are important for further understanding the electrodynamics properties of structures at the nanoscale. Particularly, our method can be extended to other plasmonic nanostructures where quantum-size or strongly interacting effects are likely to play an important role.

scholarly journals Effect of Bjerrum pairs on electrostatic properties in an electrolyte solution near charged surfaces: A mean-field approach

2021 ◽  
Author(s):  
Jun-Sik Sin
Keyword(s):  
Electrolyte Solution ◽  
Size Effects ◽  
Mean Field ◽  
Finite Size ◽  
Ion Association ◽  
Finite Size Effects ◽  
Field Approach ◽  
Electrostatic Properties ◽  
Charged Surfaces ◽  
Orientational Ordering

In this paper, we investigate the consequences of ion association, coupled with the considerations of finite size effects and orientational ordering of Bjerrum pairs as well as ions and water...

FEW-PARTICLE ANYON EXCITON: EXACT SOLUTIONS

2003 ◽  
Vol 02 (06) ◽  
pp. 461-468
Author(s):  
D. G. W. PARFITT ◽  
M. E. PORTNOI
Keyword(s):  
Exact Solutions ◽  
Finite Size ◽  
Spherical Geometry ◽  
Planar Geometry ◽  
Quantum Liquid ◽  
Dimensional Electron ◽  
Adequate Description ◽  
Exciton Model ◽  
Finite Size Effects ◽  
Dimensional Electron Gas

The anyon exciton model, which describes an exciton against the background of an incompressible quantum liquid, is generalized to the case of an arbitrary number of anyons. Some mathematical aspects of this quantum-mechanical few-particle problem are considered and several exact solutions are obtained. The four-particle case is also considered in the classical limit in both planar and spherical geometries. Such a classical approach gives an adequate description of an anyon exciton at large separation between the valence hole and the two-dimensional electron gas. It is shown that in this limit in a planar geometry the anyon exciton is always energetically more favorable than a charged anyon ion. This indicates that the appearance of fractionally-charged anyon ions reported in recent numerical calculations is an artefact apparently caused by finite-size effects in a spherical geometry.

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