期刊：
Chinese Journal of Physics,2024年 ISSN：0577-9073
通讯作者：
Wenbin Lin
作者机构：
[Jie Li] School of Nuclear Science and Technology, University of South China, Hengyang 421001, China;[Bo Yang; Wenbin Lin] School of Mathematics and Physics, University of South China, Hengyang, 421001, China
通讯机构：
[Wenbin Lin] S;School of Mathematics and Physics, University of South China, Hengyang, 421001, China
摘要：
We investigate the hydrostatic equilibrium configurations of strange stars within the framework of Rastall-Rainbow theory of gravity. These stars are primarily composed of strange quark matter, with its distribution governed by the color-flavor-locked phase of quark matter equation of state (EoS). Using this EoS, we numerically solve the modified Tolman–Oppenheimer–Volkoff equation to obtain different quark star models. We find that the parameters from this modified gravity have specific contributions to the structure of quark stars and introduce new descriptions for massive celestial bodies. Aslo, the mass–radius relation strongly depends on the parameters from the considered EoS. Furthermore, we analyze the impact of these parameters on the gravitational redshift and compactness of quark stars.
期刊：
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS,2024年2024(02):046 ISSN：1475-7516
作者机构：
[Hiroaki Nakajima] School of Mathematics and Physics, University of South China, Hengyang, 421001, China;School of Physical Science and Technology, Southwest Jiaotong University, Chengdu, 610031, China;[Ya Guo; Wenbin Lin] School of Mathematics and Physics, University of South China, Hengyang, 421001, China<&wdkj&>School of Physical Science and Technology, Southwest Jiaotong University, Chengdu, 610031, China
摘要：
We study an axisymmetric metric satisfying the Petrov type D property with some additional ansatze, but without assuming the vacuum condition. We find that our metric in turn becomes conformal to the Kerr metric deformed by one function of the radial coordinate. We then study the gravitational-wave equations on this background metric in the case that the conformal factor is unity. We find that under an appropriate gauge condition, the homogeneous wave equations admit the separation of the variables, which is also helpful for solving the nonhomogeneous equations. The resultant ordinary differential equation for the radial coordinate gives a natural extension of the Teukolsky equation.
期刊：
Fuzzy Sets and Systems,2024年479:108856 ISSN：0165-0114
通讯作者：
Liu, HL
作者机构：
[Xiao, Qizhen; Liu, Hongliang; Liu, HL; Luo, Zhiyong] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Xiao, Qizhen; Liu, Hongliang; Liu, HL] Univ South China, Hunan Key Lab Math Modeling & Sci Comp, Hengyang 421001, Peoples R China.
通讯机构：
[Liu, HL ] U;Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;Univ South China, Hunan Key Lab Math Modeling & Sci Comp, Hengyang 421001, Peoples R China.
关键词：
Aperiodic DoS attacks;Resilient synchronization;Fixed-time stability;Fuzzy neural networks;Reaction-diffusion terms
摘要：
This work focuses on the resilient fixed -time synchronization of delayed fuzzy memristive reaction -diffusion neural networks under denial -of -service (DoS) attacks. To efficaciously tolerate the aperiodic DoS attacks, a new appropriate controller is designed to ensure the fixed -time resilient synchronization of the systems. Moreover, two mild sufficient conditions are first proposed and the constrained techniques of attacking intervals are employed to overcome the challenge of estimating the upper bound of the settling time under aperiodic DoS attacks. Lastly, an example is utilized to illustrate the effectiveness and feasibility of the theoretical result.
摘要：
In this paper, we give six classes of permutation polynomials of the form (x(pm) - x + delta)(s) + a(x) over F-2(2m) and six classes of permutation polynomials of the form (x(pm) - x + delta)(s) + ax(pm) + a(pm) x over F-p(2m) (p being an odd prime), respectively. In addition, we also investigate permutation polynomials obtained from piecewise functions. Consequently, we find some complete permutation polynomials.
期刊：
Qualitative Theory of Dynamical Systems,2024年23(2):1-17 ISSN：1575-5460
通讯作者：
Hu, SL
作者机构：
[Pan, Chaohong] Hunan First Normal Univ, Sch Math & Stat, Changsha 410205, Hunan, Peoples R China.;[Hu, Shulin; Pan, Chaohong; Wang, Hongyong] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构：
[Hu, SL ] U;Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
摘要：
In this paper, we investigate the speed selection mechanism of traveling wave solutions for a reaction–diffusion–advection equation with high-order terms in a cylindrical domain. The study focuses the problem under two cases for Neumann boundary condition and Dirichlet boundary condition. By using the upper and lower solutions method, general conditions for both linear and nonlinear selections are obtained. When the equation is expanded to higher dimensions, literature examining this particular topic is scarce. In light of this, new results have been obtained for both linear and nonlinear speed selections of the equation with high-order terms. For different power exponents m and n, specific sufficient conditions for linear and nonlinear selections with the minimal wave speed are derived by selecting suitable upper and lower solutions. The impact of the power exponents m and n on speed selection is analyzed.
摘要：
Theoretical investigations are conducted to examine the impact of toroidal rotation and ion collisional viscosity on low-frequency zonal flow (LFZF) in a tokamak plasma with the fluid model. The results indicate that while the frequency of LFZF remains unchanged during an isothermal process with gamma=1, its damping rate is influenced by both toroidal rotation and ion collisional viscosity. Specifically, as the ion collisional viscosity increases, so does the damping rate of LFZF; conversely, as the toroidal rotation As its Mach number rises, its damping rate decreases. For a non-isothermal process with gamma > 1 (such as gamma = 5/3), the damping rate and frequency of LFZF are influenced by both toroidal rotation and ion collisional viscosity. It has been demonstrated that when the toroidal rotation Mach number surpasses a certain threshold, the frequency transitions from zero to a finite value, while the damping rate decreases as the toroidal rotation Mach number increases for LFZF. Furthermore, it has been observed that the damping rate of LFZF increases while the frequency decreases with an increase in ion collisional viscosity. Moreover, when the ion collisional viscosity surpasses a certain threshold, the frequency of LFZF drops to zero.
作者机构：
[Xu, Changjin; Xu, CJ] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.;[Liu, Zixin; Pang, Yicheng] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China.;[Shen, Jianwei] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, Peoples R China.;[Liao, Maoxin] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Li, Peiluan] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China.
通讯机构：
[Xu, CJ ] G;Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.
关键词：
ergodic theory;markov Process;hessian matrix;Ito formula
摘要：
In the literature [16], the COVID-19 model has been constructed using deterministic approach. The present manuscript examines a stochastic model designed to capture the interplay between COVID-19 and varying infection rates on disease dynamics. We present the necessary criteria for a global solution to the considered model to exist and be unique. To illustrate several outcomes pertaining to the ergodic properties of the given system, the we utilize nonlinear analysis. Furthermore, the model undergoes simulation and is compared with deterministic dynamics. To verify the efficacy of the considered model and demonstrate its utility, we compare the dynamics of the infected population to real statistical data from multiple countries, such as the United Kingdom, Australia, Spain, and India. The proposed model has proven to be a reliable and effective tool for understanding the intricate nature of COVID-19 dynamics. Moreover, we provide a visually striking depiction of the impact of different infection rates on the propagation of the model under investigation. This visualization provides valuable insight into the multifaceted nature of the pandemic and significantly contributes to the comprehension of COVID-19 dynamics.
摘要：
We present an atomistic simulation of thermoelectric properties in cove-edged graphene nanoribbons (CGNRs) via the nonequilibrium Green's function. Different from gapless zigzag graphene nanoribbons (ZGNRs), CGNRs exhibit a noticeable bandgap. Such a bandgap can be modulated by varying three structural parameters (namely, the width N, the distance between adjacent coves m, as well as the shortest offset n) of CGNRs, which can give rise to the transition from semiconducting to semi-metallic. Due to the less dispersive phonon bands and the decrease in the number of phonon channels of CGNRs, they are found to have the lower phonon thermal conductance than ZGNRs. Modulation of CGNRs can produce over tenfold improvement of the maximum of ZT compared to ZGNRs. This improvement is due to the promotion of the Seebeck coefficient together with the degradation of the phonon thermal conductance of CGNRs compared to ZGNRs.
期刊：
Finite Fields and Their Applications,2024年94:102354 ISSN：1071-5797
通讯作者：
Kan, HB
作者机构：
[Zheng, Lijing] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.;[Kan, Haibin] Fudan Univ, Sch Comp Sci, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China.;[Kan, Haibin] Shanghai Engn Res Ctr Blockchain, Shanghai 200433, Peoples R China.;[Kan, Haibin] Fudan Univ, Yiwu Res Inst, Yiwu City 322000, Peoples R China.;[Zhang, Tongliang] North China Univ Sci & Technol, Coll Sci, Tangshan 063000, Hebei, Peoples R China.
通讯机构：
[Kan, HB ] F;Fudan Univ, Sch Comp Sci, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China.;Shanghai Engn Res Ctr Blockchain, Shanghai 200433, Peoples R China.;Fudan Univ, Yiwu Res Inst, Yiwu City 322000, Peoples R China.
关键词：
Finite field;Permutation trinomial
摘要：
Let q = 2m and Fq3 be the finite field with q3 elements. In this paper, based on the multivariate method, resultant elimination, and transforming into dealing with some equations over finite fields, we propose two classes of permutation trinomials of Fq3. We illustrate that these two classes of permutation trinomials are QM-inequivalent to all known permutation polynomials over Fq3. Some well-known results can be covered by our theorems.(c) 2023 Elsevier Inc. All rights reserved.
摘要：
Mining can provide abundant resources, but it also causes heavy metal wastewater pollution, which poses a serious threat to aquatic ecosystems. In this study, Cypridopsis vidua was used as the test organism to investigate the single and combined acute toxicity of common heavy metals (such as chromium (Cr) and nickel (Ni)) in mining wastewater. Then, a random forest model (RF model) was used to predict the combined toxicity of chromium and nickel. Single acute toxicity experiments showed that the 96 h-LC(50 )values of the Cr and Ni for Cypridopsis vidua were 0.81 mg/L and 4.3 mg/L, respectively. aCr was more toxic than Ni. Furthermore, the combined acute toxicity experiments demonstrated that the toxicity of Cr-Ni was higher than Ni but lower than Cr. The predicted results of the RF model were highly consistent with the experimental results of the Cr-Ni combined acute toxicity. So, the model has accurate toxicity prediction ability.
摘要：
In this paper, we presented a novel technique called extended modified auxiliary equation mapping technique, which we used to analyze the combined Chen-Lee-Liu derivative nonlinear Schrodinger equation (MCLL-NLSE) analytically. With the help of three parameters, we were able to use our proposed method to produce newer, broader sets of exact solutions, including bright, periodic, semi half bright, dark, combined, semi half dark, doubly periodic, doubly bright, half bright, and half dark. This is the main distinction between our method and others currently in use. To develop the theoretical fluid dynamics, nonlinear fiber optics, electromagnetism, mathematical physics, bio-mathematics, soliton dynamics, plasma physics, industrial studies, quantum mechanics, nuclear physics and many other natural and physical sciences has been greatly impacted by recently discovered solutions. We have presented the newly discovered solutions in graphs in various dimensions using Mathematica 10.4 to provide a better clear picture of the dynamic properties of the solutions. Additionally, we conducted stability tests on the obtained solutions and presented them as a table.
期刊：
Monthly Notices of the Royal Astronomical Society,2024年529(2):1440-1449 ISSN：0035-8711
通讯作者：
Ye-Fei Yuan<&wdkj&>Wenbin Lin
作者机构：
School of Mathematics and Physics, University of South China , Hengyang 421001 , China;School of Physical Science and Technology, Southwest Jiaotong University , Chengdu 610031 , China;School of Nuclear Science and Technology, University of South China , Hengyang 421001 , China;School of Astronomy and Space Science, University of Science and Technology of China , Hefei 230026 , China;CAS Key Laboratory for Research in Galaxies and Cosmology, University of Science and Technology of China , Hefei 230026 , China
通讯机构：
[Ye-Fei Yuan; Wenbin Lin] S;School of Mathematics and Physics, University of South China , Hengyang 421001 , China<&wdkj&>School of Physical Science and Technology, Southwest Jiaotong University , Chengdu 610031 , China<&wdkj&>School of Astronomy and Space Science, University of Science and Technology of China , Hefei 230026 , China<&wdkj&>CAS Key Laboratory for Research in Galaxies and Cosmology, University of Science and Technology of China , Hefei 230026 , China
关键词：
methods: numerical;stars: kinematics and dynamics;Galaxy: centre;Galaxy: kinematics and dynamics;transients: tidal disruption events
摘要：
In the centres of galaxies, stars that orbit supermassive black hole binaries (SMBHBs) can undergo tidal disruptions due to the Lidov–Kozai mechanism. Nevertheless, most previous researches have predominantly focused on full tidal disruption events (FTDEs). In this study, we employ N-body simulations to investigate partial tidal disruption events (PTDEs) induced by intermediate-mass black holes (IMBHs) in SMBH–IMBH binaries, taking into account consideration the IMBH’s mass, semimajor axis, and eccentricity of the outer orbit. Our findings indicate that, in comparison to FTDEs, the majority of tidal disruption events are actually PTDEs. Furthermore, we find that a significant number of stars experiencing partial disruption ultimately get captured by the IMBH, potentially leading to repeating flares. By comparing the period of the periodic eruptions observed in ASASSN-14ko, we find that PTDEs in a specific SMBH–IMBH binary system can align with the observed period if the SMBH has a mass of |$10^7\rm {\ M_\odot }$|, the IMBH has a mass smaller than approximately |$10^5\rm {\ M_\odot }$|, the eccentricity of the SMBH–IMBH binary exceeds approximately 0.5, and the semimajor axis of the SMBH–IMBH binary is larger than approximately 0.001 pc. Moreover, our model effectively accounts for the observed period derivative for ASASSN-14ko (|$\dot{P}=-0.0026\pm 0.0006$|), and our results also imply that some quasi-periodic eruptions may be attributed to PTDEs occurring around SMBH–IMBH binaries.
作者：
Su, Chi;Hua, Yilong;Liu, Yi;Tao, Shu;Jia, Fei;...
期刊：
PLOS ONE,2024年19(3):e0300800 ISSN：1932-6203
作者机构：
[Hua, Yilong; Liu, Yi; Su, Chi; Zhao, Wenhui] School of Resources Environment and Safety Engineering, University of South China, Hengyang, China;[Tao, Shu] School of Mathematics and Physics, University of South China, Hengyang, China;[Jia, Fei] School of Civil Engineering, University of South China, Hengyang, China;[Zhao, Wenhui] Shanxi Province Changzhi City Wuxiang County Jia Huo Township People's Government, Changzhi, China;[Lin, Wangyang] College of Mechanical Engineering, University of South China, Hengyang, China
摘要：
Mining wastewater with heavy metals poses a serious threat to the ecological environment. However, the acute single and combined ecological effects of heavy metals, such as chromium (Cr) and nickel (Ni), on freshwater ostracods, and the development of relevant prediction models, remain poorly understood. In this study, Heterocypris sp. was chosen to investigate the single and combined acute toxicity of Cr and Ni. Then, the quantitative structure-activity relationship (QSAR) model was used to predict the combined toxicity of Cr and Ni. The single acute toxicity experiments revealed high toxicity for both Cr and Ni. In addition, Cr exhibited greater toxicity compared to Ni, as evidenced by its lower 96-hour half-lethal concentration (LC50) of 1.07 mg/L compared to 4.7 mg/L for Ni. Furthermore, the combined acute toxicity experiments showed that the toxicity of Cr-Ni was higher than Ni but lower than Cr. Compared with the concentration addition (CA) and independent action (IA) models, the predicted results of the QSAR model were more consistent with the experimental results for the Cr-Ni combined acute toxicity. So, the high accuracy of QSAR model identified its feasibility to predict the toxicity of heavy metal pollutants in mining wastewater.
摘要：
Permutations with differential and boomerang uniformity 4 over F22k offer good resistance to block ciphers against differential and boomerang attacks. There are five primarily constructed infinite classes of differentially 4-uniform permu-tations with the best known nonlinearity over F22k , namely the Gold functions, the Kasami functions, the Inverse functions, the Bracken-Leander functions and the Bracken-Tan-Tan functions. It has been shown by Boura et al. and by Mesnager et al. respectively, that the Gold functions and the Bracken-Tan-Tan functions also have boomerang uniformity 4. It is known that the Bracken-Tan-Tan functions are CCZ-inequivalent to the Inverse functions and the Bracken-Leander functions. In this paper, it is proved that the Bracken-Tan-Tan functions are also CCZ-inequivalent to the Gold functions and the Kasami functions. In particular, the Gold functions and the Bracken-Tan-Tan functions are two different classes of boomerang uniformity 4 permutations up to EA-equivalence. (c) 2023 Elsevier Inc. All rights reserved.
摘要：
Summary The Kaczmarz algorithm is widely used in image reconstruction. In this paper, we propose an enhanced version of the Kaczmarz algorithm by integrating Nesterov momentum into the Kaczmarz algorithm, denoted as the Kaczmarz algorithm with momentum. Our innovation offers a novel approach to accelerate the convergence rate of the Kaczmarz algorithm significantly. Based on greedy rules for selecting work row, we prove that the Kaczmarz method with momentum can achieve global linear convergence rates. Furthermore, we extend a constrained version of the Kaczmarz algorithm with Nesterov momentum for improved image reconstruction and prove its convergence. Numerical experiments show that the proposed algorithm outperforms the original Kaczmarz algorithm in terms of efficiency for image reconstruction.
作者机构：
[Li, ZY; Li, Zhenye; Huang, Chenhui; Li, Yuehao; Zhang, Meng; Ding, Xu] Univ South China, Coll Mech Engn, Hengyang 421001, Peoples R China.;[Ding, Yu-Feng] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Zhu, Chunguang] Sichuan Univ Sci & Engn, Sch Mat Sci & Engn, Zigong 643002, Sichuan, Peoples R China.
通讯机构：
[Li, ZY ] U;Univ South China, Coll Mech Engn, Hengyang 421001, Peoples R China.
关键词：
cathode interface layer;non-covalent interaction;organic solar cells;power conversion efficiency;vermiculite
摘要：
Interface modification plays an important role in improving the power conversion efficiency (PCE) of organic solar cells (OSCs). However, the low non-covalent interaction between the cathode interface layer (CIL) and nonfullerene acceptor (NFA) directly affects the charge collection of OSCs. Here, the non-covalent interaction between the CIL and NFA is enhanced by introducing the 2D vermiculite (VML) in the poly(9,9-bis(3 '-(N,N-dimethyl)-Nethylammonium-propyl-2,7-fluorene)-alt-2,7-(9,9-dioctylfluorene)) dibromide (PFN-Br) interface layer to form an efficient electron transport channel. As a result, the electron extraction efficiency from the active layer to the CIL is increased, and the PCE of OSCs based on PBDB-T:ITIC is boosted from 10.87% to 12.89%. In addition, the strategy of CIL doping VML is proven to be universal in different CIL materials, for which the PCE is boosted from 10.21% to 11.57% for OSCs based on PDINN and from 9.82% to 11.27% for OSCs based on PNDIT-F3N. The results provide a viable option for designing efficient CIL for high-performance non-fullerene OSCs, which may promote the commercialization of OSCs. The non-covalent interaction between the cathode interface layer and nonfullerene acceptor is enhanced by introducing vermiculite in the PFN-Br interlayer. As a result, the power conversion efficiency of organic solar cells based on PBDB-T:ITIC is boosted from 10.87% to 12.89%. image
作者机构：
[Junchen 王俊辰 Wang] , China Nuclear Data Center, China Institute of Atomic Energy, P.O. Box 275-41, No1 Sanqiang Road, Fangshan District, Beijing, Beijing, Beijing, 102413, CHINA;[Yuan Tian; Xi Tao; Zhi Zhang; Yue Zhang] , China Nuclear Data Center, China Institute of Atomic Energy, P.O. Box 275(41), Beijing 102413, China, Beijing, 102413, CHINA;[xu ruirui] , China Institute of Atomic Energy, beijing, 100045, CHINA;[Ying Cui] , China Institute of Atomic Energy, Beijing, 102413, CHINA;[Xiao-Dong Sun] University of South China, School of Math and Physics, Hengyang, Hunan, 421001, CHINA
摘要：
In this paper we have systematically analyzed the ground state of uranium isotopes from 225 to 240. In our calculations, we used the covariant energy density functional of density dependent meson exchange interaction (DD-ME2) with separable pairing interaction (TMR). Using the multiple deformation constraint, we calculate the potential energy surface (PES) of the uranium isotopes for
both even-even and even-odd nuclei with quadrupole and octupole deformation. By comparison with experimental data and Hartree-Fock-Bogoliubov calculations with Gogny D1S, the ground state of the uranium isotopes is always preferred to reflection-asymmetric deformation with our calculation.
期刊：
Information Processing Letters,2024年184 ISSN：0020-0190
通讯作者：
Kan, HB
作者机构：
[Zheng, Lijing] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.;[Kan, Haibin] Fudan Univ, Sch Comp Sci, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China.;[Kan, Haibin] Shanghai Engn Res Ctr Blockchain, Shanghai 200433, Peoples R China.;[Kan, Haibin] Fudan Univ, Yiwu Res Inst, Yiwu 322000, Peoples R China.;[Peng, Jie] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.
通讯机构：
[Kan, HB ] F;Fudan Univ, Sch Comp Sci, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China.;Shanghai Engn Res Ctr Blockchain, Shanghai 200433, Peoples R China.;Fudan Univ, Yiwu Res Inst, Yiwu 322000, Peoples R China.
关键词：
Algebraic degree;Cryptography;Finite field;Generalized almost perfect nonlinear function;Monomial
摘要：
In this short note, we present a new class of GAPN power functions of the type xk2p2i+k1pi+k0 over finite fields Fpn with p odd and gcd(n, i) = 1 (up to EA-equivalence). (c) 2023 Elsevier B.V. All rights reserved.
摘要：
This study addresses the preassigned-time synchronization for complex-valued memristive neural networks with reaction-diffusion terms and Markov parameters. Employing a preassigned-time stable control strategy, two distinct controllers with varying power exponent parameters are designed to ensure that synchronization can be achieved within a predefined time frame. Unlike existing finite/fixed-time results, a priori specification of the settling time is addressed. Furthermore, Green's formula and boundary conditions are efficiently applied to overcome potential symmetry loss. Additionally, the activation function's constraint range is more lenient compared to existing constraints. Finally, the effectiveness of the presented methods are demonstrated through two examples.
