Article
Physics, Nuclear
Alexei M. Frolov
Summary: In this study, the properties and various representations of the Uehling potential were explored. By utilizing formulas for the Fourier transform of the Uehling potential, a new analytical procedure was developed for evaluating the lowest-order vacuum polarization correction in several QED processes. This procedure is applicable to processes such as Mott electron scattering, bremsstrahlung, and the creation or annihilation of (e-,e+) pairs in the presence of a heavy Coulomb center like an atomic nucleus.
EUROPEAN PHYSICAL JOURNAL A
(2021)
Article
Chemistry, Physical
Chen Huang
Summary: The optimized effective potential (OEP) equation becomes ill-conditioned when using finite basis sets. Although regularizing the exchange-correlation (XC) potential can help alleviate oscillations, it is not the exact solution. In this work, a robust and nearly black-box OEP method with a penalty function is developed to ensure variational energy against the KS potential. The method reduces the impact of regularization and allows accurate structural and electronic properties to be obtained without extrapolating the regularization coefficient to zero.
JOURNAL OF CHEMICAL THEORY AND COMPUTATION
(2023)
Article
Mathematics, Interdisciplinary Applications
Homan Emadifar, Kamsing Nonlaopon, Shoaib Muhammad, Rahmatullah Ibrahim Nuruddeen, Hwajoon Kim, Abdulaziz Garba Ahmad
Summary: In this research, coupled fractional models for immersed spheres and oscillatory pendulums have been proposed. The dynamics of the systems are analytically investigated using the Laplace transform method and the negative binomial formula. The approximate closed-form solutions are successfully revealed with the help of the convolution theorem. Moreover, the variational effects of the fractional-orders and the coupling parameters on the paired fields are graphically illustrated.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Polymer Science
Dmitry Nikushchenko, Valery Pavlovsky, Elena Nikushchenko
Summary: In this article, a generalization of Newton's formula for shear stress in a fluid is presented by expressing it in the form of a power-law equation. The rheological relation is generalized to describe flow in both laminar and turbulent regimes. Analytical solutions are obtained for simple shear flows, which are found to be in good agreement with experimental data. This approach proves advantageous compared to modern differential turbulence models.
Article
Construction & Building Technology
Kang Cheng, Riqing Xu, Hongwei Ying, Cungang Lin, Xiaolu Gan, Xiaonan Gong, Jianfeng Zhu, Sijie Liu
Summary: In this paper, a new analytical method using a continuous Euler-Bernoulli beam is proposed to simulate the behavior of shield tunnels during basement excavations. The method is validated with three case histories and is capable of accurately considering tunnel-soil interaction behavior. With the proposed analytical solution, a semi-empirical formula is established to predict the maximum vertical displacement of the tunnel, taking into account spatial factors.
TUNNELLING AND UNDERGROUND SPACE TECHNOLOGY
(2023)
Review
Food Science & Technology
Ruth Conboy Stephenson, R. Paul Ross, Catherine Stanton
Summary: Carotenoids are a family of over 1100 known natural pigments synthesized by plants, algae, fungi, and bacteria, necessary for mammals as they cannot be synthesized in the body. Dietary intake of carotenoids has benefits for both cows and humans, with fresh forage being a rich source for cows and fruits and vegetables traditionally being the main source for humans. The manipulation of carotenoid content in cow feed can impact the carotenoid concentration in bovine milk, which is linked to improved eye health, cognitive function, and potentially other health benefits.
Article
Physics, Nuclear
Aurel Bulgac
Summary: The Boltzmann equation is a framework that extends the classical description of a many-body system to include particle-particle collisions. This article introduces a quantum version of the Boltzmann-Uehling-Uhlenbeck (BUU) equations, which is equivalent to a generalized time-dependent density functional theory extended to superfluid systems.
Article
Chemistry, Physical
J. Espinosa-Garcia, C. Rangel
Summary: A new full-dimensional potential energy surface, PES-2022, was developed for the title reaction. It accurately describes the reactive system of methanol, including both hydrogen abstraction reaction channels. Based on PES-2022, a comprehensive dynamics study was conducted to analyze the reaction mechanisms under different conditions.
JOURNAL OF CHEMICAL PHYSICS
(2023)
Article
Energy & Fuels
A. P. R. Fernandez, E. A. Perigo, R. N. Faria
Summary: The capacitance of electrochemical supercapacitors depends on the applied potential, requiring a simplified equivalent circuit for deriving related expressions. The theoretical development shows very good agreement with experimental cyclic voltammetry data.
JOURNAL OF ENERGY STORAGE
(2021)
Article
Engineering, Civil
Yi Zhou, Yong Xia, Yozo Fujino
Summary: This paper presents unified analytical formulas to calculate the vertical temperature difference induced deflection of a prismatic beam with any number of spans, and investigates the influences of structural geometry, material property, and temperature change on beam deflection through detailed parametric analysis. The study reveals the distinct thermal deformation characteristics between beams with odd and even-numbered spans, enhancing the understanding of the thermal behavior of beams.
ENGINEERING STRUCTURES
(2021)
Article
Plant Sciences
Qin Yu, Zhe Chen, Minglin Liu, Yongbin Meng, Xiaoyan Li, Bai Li, Juan Du
Summary: This research preliminarily indicates that Sanshimao (SSM) formula treats hepatocellular carcinoma (HCC) via multiple components and pathways. EGFR/FAK/AKT are promising therapeutic targets of SSM for HCC treatment.
JOURNAL OF ETHNOPHARMACOLOGY
(2022)
Article
Plant Sciences
Qin Yu, Zhe Chen, Minglin Liu, Yongbin Meng, Xiaoyan Li, Bai Li, Juan Du
Summary: The study identified potential targets and mechanisms of the Sanshimao formula in treating hepatocellular carcinoma through network pharmacology analysis, and validated the data using molecular biological methods.
JOURNAL OF ETHNOPHARMACOLOGY
(2022)
Article
Food Science & Technology
Erik J. M. Konings, Antoine Roux, Audrey Reungoat, Nathalie Nicod, Esther Campos-Gimenez, Laurent Ameye, Peter Bucheli, Sandrine Alloncle, Julien Dey, Genevieve Daix, Brendon D. Gill, Harvey E. Indyk, Robert A. Crawford, Roger Kissling, Stephen E. Holroyd, Martine P. van Gool, Arnold P. Broek, Hans M. M. Cruijsen, Dustin E. Starkey, Joseph J. Thompson, Stefan Ehling, Ross Peterson, Scott Christiansen, Karen Mandy, Cristine L. Bradley, Shay C. Phillips, Julie Moulin
Summary: Infant formulas are subject to strict regulation and testing, with new official analytical methods established for nutrient analyses. The variability of these methods poses challenges, particularly for vitamins A, B12, D, and folic acid, in meeting regulatory requirements across various countries. Continuous improvements in analytical methods for nutrients are necessary to ensure regulatory compliance.
Article
Engineering, Chemical
Vilmar Steffen, Edson Antonio da Silva
Summary: This paper proposes methods for calculating volume roots using Ferrari's formula and modifying Cardano-Tartaglia's formula to ensure roots are in ascending order, as well as providing approximate methods for different temperatures and pressures, and a method for calculating saturation pressure.
Article
Chemistry, Analytical
Yu Sugimoto
Summary: This study explores the phenomenon of pseudo-steady-state current in a mediated bioelectrocatalytic reaction on microelectrodes under rapid enzymatic reactions. A semi-analytical formula is derived to understand the system and the results are validated through numerical simulations. The analytical formula reveals the conditions necessary to expand the linear range of the current, providing insights for the development of biosensors using microelectrodes.
JOURNAL OF ELECTROANALYTICAL CHEMISTRY
(2021)
