作者机构：
[Liu, Hongliang; Ouyang, Zigen; Liu, HL; Luo, Zhiyong] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Liu, Hongliang; Ouyang, Zigen; 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：
multi-agent systems;formation control;backstepping method;adaptive control
摘要：
In this paper, we study the fixed-time formation (FixF) control problem for the nonlinear second-order multi-agent systems (MASs) with directed graph, where all agents are subject to communication disturbances. To overcome the bounded disturbance of communication and to guarantee the realization of predesignated formation within a fixed-time, a suitable FixF control protocol based on the backstepping method is proposed. Furthermore, to eliminate the dependence of the control parameters on global information, a new adaptive FixF control protocol is provided to combine with some mild conditions of control gain such that the formation with acceptable bounded error of MASs can be achieved within a fixed-time. Finally, the theoretical results are verified by two simulation examples, one of the simulation examples is that we set the desired formation as a regular octagon and the desired formation motion trajectory as a circle, the results show that all agents can form formation motion within a fixed-time.
作者机构：
[Luo, Song; Li, Xiao-Hua; Qi, Lin-Jing; Zhang, Dong-Meng; Gui, Hai-Feng] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[He, Biao] Cent South Univ, Coll Phys & Elect, Changsha 410083, Peoples R China.;[Wu, Xi-Jun] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua] Univ South China, Cooperat Innovat Ctr Nucl Fuel Cycle Technol & Equ, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua] Univ South China, Natl Exemplary Base Int Sci & Technol, Collaborat Nucl Energy & Nucl Safety, Hengyang 421001, Peoples R China.
通讯机构：
[He, B ] C;Cent South Univ, Coll Phys & Elect, Changsha 410083, Peoples R China.
摘要：
In the present work, we systematically study the spectroscopic factor of proton radioactivity (Sp) with A > 100 using the deformed two-potential approach (D-TPA). It is found that there is a link between the quadrupole deformation parameter of proton emitter and Sp. Based on this result, we propose a simple analytic formula for estimating the spectroscopic factor of proton radioactivity. With the help of this formula, the calculated half-lives of proton radioactivity can reproduce the experimental data successfully within a factor of 2.77. Furthermore, we extend the D-TPA with this formula for evaluating the spectroscopic factor to predict the proton radioactivity half-lives of 12 proton radioactivity candidates whose radioactivity is energetically allowed or observed but not yet quantified in NUBASE2020. For comparison, the universal decay law for proton radioactivity (UDLP) and the new Geiger-Nuttall law (NG-N) are also used. It turns out that all of the predicted results are basically consistent with each other.
摘要：
In this paper, a mathematical ordinary differential tumor-immune model is proposed based on an immune checkpoint inhibitor, which is an innovative method for tumor immunotherapies. Two important factors in tumor-immune response are the programmed cell death protein 1 (PD-1) and its ligand PD-L1. The model consists of three populations: tumor cells, activated T cells and anti-PD-1. By analyzing the dynamics of the model, it is found that there is always a unique tumor-free equilibrium and at most two tumor interior equilibria. The nonexistence of nontrivial positive periodic orbits is established by using the new Dulac function, and then a global dynamics of the model is obtained. The conclusions of our analysis show that increasing the possibility of T cells killing tumor cells ( p), early detection of tumor cells, or the use of PD-1 inhibitors to activate T cells are effective in eliminating tumor cells.
作者机构：
[Ma, Yaxing; Agbedor, Solomon-Oshioke; Gao, Yang; Lei, Qian] Cent South Univ, State Key Lab Powder Met, Changsha 410083, Peoples R China.;[Cheng, Jinjuan] Univ South China, Sch Math & Phys, Hengyang 421000, Peoples R China.;[Meng, Xiangpeng; Xiao, Zhu] Cent South Univ, Sch Mat Sci & Engn, Changsha 410083, Peoples R China.
通讯机构：
[Qian Lei] S;State Key Laboratory for Powder Metallurgy, Central South University, Changsha, 410083, China
关键词：
Cu-Cr alloy;Friction and wear;Strength;Thermomechanical treatment
摘要：
The microstructural evolution, electrical conductivity, and mechanical properties of a cast Cu-6Cr alloy were investigated after being homogenized at 900 degrees C for 4 h, hot-rolled by 80%, solid solution treated at 940 degrees C for 2 h, and subjected to two steps of cold rolling and aging treatment. After several thermomechanical processes (HR + SST + CR + AT + CR + AT), the microhardness (155.2 HV), yield strength (439.8 MPa), and ultimate tensile strength (473.7 MPa) are significantly improved, and maintained a good electrical conductivity of 87.0 %IACS. Furthermore, under a load of 50 N and speed of 200 r/min, the alloy demonstrates a good friction coefficient of 0.381 and a wear rate of 1.62 x 10-8 mm(3)/(N.m). The wear mechanisms of the experimental alloy were abrasive wear and oxidative wear under low loads and low speeds, and oxidative wear and adhesive wear under high loads and high speeds.
摘要：
In this study, considering the modified preformation probability Pc to be log(10)P(c)=(A(c)-1)/3log(10)P(alpha)+c ', where P alpha and c ' are the alpha-particle preformation probability and an adjustable parameter proposed by Wang et al. [Chin. Phys. C 45, 044111 (2021)], respectively, we extend a new simple model put forward by Bayrak [J. Phys. G 47, 025102 (2020)] to systematically study the cluster radioactivity half-lives of 28 trans-lead nuclei ranging from( 222)Fr to Cm-242, which is based on the Wentzel-Kramers-Brillouin approximation and Bohr-Sommerfeld quantization condition. For comparison, a universal decay law proposed by Qi et al. [Phys. Rev. C 80, 044326 (2009)], a three-parameter model-independent formula put forward by Balasubramaniam et al. [Phys. Rev. C 70, 017301 (2004)], and the semi-empirical model proposed by Tavares et al. [Eur. Phys. J. A 49, 1 (2013)] are used. Our calculated results reproduce the experimental data well, with a standard deviation of 0.818. Furthermore, we use this model to predict the cluster radioactivity half-lives of 51 possible cluster radioactive candidates whose cluster radioactivities are energetically allowed or observed but not yet quantified in NUBASE2020.
作者机构：
[Luo, Song; Li, Xiao-Hua; Chen, Xun; Qi, LJ; Qi, Lin-Jing; Zhang, Dong-Meng] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[He, Biao] Cent South Univ, Coll Phys & Elect, Changsha 410083, Peoples R China.;[Wu, Xi-Jun] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua] Univ South China, Cooperat Innovat Ctr Nucl Fuel Cycle Technol & Equ, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua] Univ South China, Natl Exemplary Base Int Sci, Tech Collaborat Nucl Energy & Nucl Safety, Hengyang 421001, Peoples R China.
通讯机构：
[Qi, LJ ] U;Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.
关键词：
cluster radioactivity;decay energy;Geiger and Nuttall law;half-lives
摘要：
In this study, derived from Balasubramaniam’s formula [Phys. Rev. C 70, 017301(2004)] and further considering the effect of the parent nucleus mass, blocking effect, and effect of reduced mass on cluster radioactivity half-lives, we propose a new Geiger-Nuttall law that is model-independent to systematically evaluate the halflives of this process for 16 even-even nuclei and 10 odd-A nuclei. For comparison, a single universal curve for cluster radioactivity and α decay proposed by Poenaru [Phys. Rev. C 83, 014601(2011)], a scaling law proposed by Horoi [J. Phys. G: Nucl. Part. Phys. 30, 945(2004)], an extension of the Viola-Seaborg formula from α decay to cluster radioactivity proposed by Ren et al. [Phys. Rev. C 70, 034304(2004)], a new semi-empirical formula for exotic cluster decay proposed by Balasubramaniam et al. [Phys. Rev. C 70, 017301(2004)], and a unified formula for the half-lives of α decay and cluster radioactivity proposed by Ni et al. [Phys. Rev. C 78, 044310(2008)] are also used. The calculated results of our new Geiger-Nuttall law are in good agreement with the experimental half-lives,with the least rms being 0.606, and are better than the compared values. Moreover, we extend this formula to predict the cluster radioactivity half-lives of 51 nuclei whose decay energies are energetically allowed or observed but not yet quantified in NUBASE2020.
期刊：
Fractal and Fractional,2023年7(10):704- ISSN：2504-3110
通讯作者：
Tan, KX
作者机构：
[Cai, Qiue] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Cai, Qiue; Zeng, Sheng; Tan, Kaixuan] Univ South China, Sch Resources Environm & Safety Engn, Hengyang 421001, Peoples R China.;[Zhu, Junjie] Cent South Univ, Sch Geosci & Info Phys, Changsha 410083, Peoples R China.
通讯机构：
[Tan, KX ] U;Univ South China, Sch Resources Environm & Safety Engn, Hengyang 421001, Peoples R China.
关键词：
element concentration–area (C-A);multifractal;singularity exponent;uranium ore;uranium distribution characteristics
摘要：
Based on an analysis of the spatial distribution of uranium grade in 338 boreholes of a uranium deposit in Xinjiang, the enrichment and spatial variation of uranium ore in two stopes of the deposit are discussed using multifractal theory. The distribution characteristics of the uranium ore of the two stopes are studied by multifractal parameters: the scaling exponent of mass tau(q), the scaling exponent alpha(q) of each sub-set and its corresponding fractal dimension f(alpha), the fractal dimension D0 and information dimension D1. The differences of uranium distribution in the two stopes can be quantified well by using multifractal spectrum and multifractal parameters such as Delta alpha, Delta f and R. After a comprehensive multifractal distribution analysis, 10 m x 10 m is defined as a fence unit, and the window sizes epsilon=3,6,9MIDLINE HORIZONTAL ELLIPSIS,45 are set; the singularity exponents alpha of the two stopes are calculated by using this element concentration-area method. The results show that the multifractal theory and model can organically combine spatial structure information, scale change information and anisotropy information to obtain low-grade and weak mineral resources information and can effectively distinguish complex and superimposed anomalies. This will provide a basis for the local concentration and spatial variation rules of uranium distribution and the design of the parameters of the leaching uranium mining well site.
摘要：
In this article, we study the quasilinear Schrödinger equation
$$ -\triangle (u)+V(x)u-\triangle \bigl(u^{2}\bigr)u=g(x,u), \quad x\in \mathbb{R}^{N}, $$
where the potential
$V(x)$
and the primitive of
$g(x,u)$
are allowed to be sign-changing. Under more general superlinear conditions on g, we obtain the existence of infinitely many nontrivial solutions by using the mountain pass theorem. Recent results in the literature are significantly improved.
期刊：
IEEE Transactions on Information Theory,2023年69(5):2955-2968 ISSN：0018-9448
通讯作者：
Peng, J
作者机构：
[Li, Yanjun] Anhui Univ Finance & Econ, Inst Stat & Appl Math, Bengbu 233030, Anhui, Peoples R China.;[Peng, Jie] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, 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, Zhejiang, Peoples R China.
通讯机构：
[Peng, J ] S;Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.
关键词：
Linear codes;Boolean functions;Codes;Transforms;Technological innovation;Research and development;Physics;Minimal linear code;vectorial Boolean function;three-weight code;AB condition;secret sharing
摘要：
Recently, much progress has been made to construct minimal linear codes due to their preference in secret sharing schemes and secure two-party computation. In this paper, we put forward a new method to construct minimal linear codes by using vectorial Boolean functions. Firstly, we give a necessary and sufficient condition for a generic class of linear codes from vectorial Boolean functions to be minimal. Based on that, we derive some new three-weight minimal linear codes and determine their weight distributions. Secondly, by studying deeply the construction of linear codes in this paper, we find a necessary and sufficient condition of the linear codes to be minimal and to be violated the AB condition. As a result, we get three infinite families of minimal linear codes violating the AB condition. To the best of our knowledge, this is the first time that minimal liner codes are constructed from vectorial Boolean functions. Compared the parameters with other known ones, in general the minimal liner codes obtained in this paper have higher dimensions.
摘要：
We calculate the third post-Newtonian (PN) order solution for the equatorial motion of a test particle in Kerr spacetime. In particular, we obtain the effects of the spin-induced quadrupole on the periastron advance and the orbital period at the 3PN order.
摘要：
It is crucial to correctly predict the S-matrix with plasma and set the optimal impedance matching device in the ion cyclotron resonance heating (ICRH) antenna system design. In this paper, a hybrid circuit/3DLHDAP code to verify the S-matrix measurements in the presence of plasma and optimize the load-resilient conjugate-T circuit for Large Helical Device (LHD) ICRH antennas has been developed and benchmarked. The variation of S-matrices for handshake form (HAS) and field-aligned-impedance-transforming (FAIT) antenna systems with density, magnetic field and coupling distance during heating obtained by the code's simulations agrees with that of with the LHD ICRH experiments. The mutual coupling of toroidally aligned HAS antennas is larger than that of poloidally aligned FAIT antennas over a wide range of densities. When the density and coupling distance increase, under a magnetic field on the magnetic axis of 2.75 T and 1.0 T, within a certain density change range, at the minimum voltage position with vacuum injection, the change rule of the antennas' S-a_minV_ 11 and S-a_minV_ 22 with density is opposite to that with coupling distance, which means that under certain conditions, adjusting the coupling distance may make up for the S-parameters changes caused by plasma density variation, keeping the minimum voltage position fixed, and may make impedance matching easier to achieve during long-pulse operation. Based on obtaining the S parameters, conjugate-T circuits for the HAS and FAIT antennas are designed with the hybrid circuit/3DLHDAP code, which can keep the reflection coefficients low without controlling impedance matching device over a wide range of plasma parameters region. The related results in this paper may provide some guidance for the high-power long-pulse operation of the ICRH antenna system on the fusion device.
期刊：
INTERDISCIPLINARY SCIENCES-COMPUTATIONAL LIFE SCIENCES,2023年15(4):616-632 ISSN：1913-2751
通讯作者：
Qian, SY;Hu, JW
作者机构：
[Qian, Shengyou; Lei, Weirui; Qian, SY] Hunan Normal Univ, Sch Phys & Elect, Changsha 410006, Peoples R China.;[Zhu, Xin] Univ South China, Hengyang Med Sch, Hengyang 421001, Peoples R China.;[Hu, JW; Hu, Jiwen] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Hu, JW ] U;[Qian, SY ] H;Hunan Normal Univ, Sch Phys & Elect, Changsha 410006, Peoples R China.;Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
作者机构：
[Wu, Feihong; Zhang, Yang; Tang, Xian; Xie, Xiangmin; Zhou, Nan] Univ South China, Sch Nucl Sci & Technol, Hengyang, Peoples R China.;[Cheng, Guodong] Univ South China, Coll Comp Sci, Hengyang, Peoples R China.;[Tan, Jie] Univ South China, Sch Math & Phys, Hengyang, Peoples R China.;[Tang, Xian] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Cheng, Guodong] Univ South China, Coll Comp Sci, Hengyang 421001, Peoples R China.
通讯机构：
[Tang, X ; Cheng, GD ] U;Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;Univ South China, Coll Comp Sci, Hengyang 421001, Peoples R China.
关键词：
SiC;He bubble;hydrogen;grain boundary diffusion;density functional theory
摘要：
The role of H atoms in the formation of irradiation-induced He bubbles in SiC grain boundaries (GBs) is unclear. The effects of H on the formation energies (E(f)s) and diffusion behaviour of He in the 3C-SiC twin boundary (TB) were studied using the density functional theory. We observed that a He atom stabilises at three typical sites in the 3C-SiC (310) TB with E(f)s = 1.95, 2.05, and 1.67 eV, which are significantly lower than those in the SiC grains. The addition of the H atom shifts the stable sites of He in the TB and increases E(f)s to 4.66, 3.96, and 5.13 eV. The minimum energy pathways for He diffusion in TB were changed by the addition of H atom. Moreover, the H atom reduces the barrier from 3.69 to 1.04 eV for the He diffusion in one TB void and increases it from 1.30 to 4.08 eV for the He diffusion between adjacent TB voids. We interpreted the above results through the Bader charge, density of states, and atomic force analysis. The results indicate that H promotes the in-void diffusion but suppresses the inter-void diffusion of He atoms in SiC GBs, which favours the aggregation and nucleation of He in SiC GBs.
摘要：
Penta-graphene (PG), as a novel and stable pentagonal structure, has attracted considerable attention due to its large band gap, ultrahigh strength, negative Poisson's ratio, which indicates promising potential in nanoelectronics and nanomechanics. Thermal conductivity is a key physical quantity for the potential applications of PG based nano-devices. However, previous studies focused on the thermal conductivity of PG dominated by the well-known cubic anharmonic effect, and the quartic anharmonicity, although probably significant, was still neglected. In this work, we study the effect of four-phonon scattering on the thermal transport in PG through using first-principles calculations and solving the Boltzmann transport equation (BTE). We find that the intrinsic lattice thermal conductivity of PG is 182.1 W/mK at room temperature after including four-phonon scattering, which is reduced by 73.5 % as compared to the obtained results with only three-phonon scattering. Meanwhile, the relative contribution of the flexural acoustic (ZA) branch is reduced from 60.5 % to 32.5 % when four-phonon scattering is included. Thus, the large reduction in thermal conductivity can be ascribed to the large four-phonon scattering rates, which are completely comparable with those of three-phonon processes in the acoustic phonon frequency range even at 300 K. It is well believed that this finding is not a special case but should exist in other 2D materials with similar phonon features. Furthermore, the validity of the sum of three- and four-phonon scattering rates has been verified by the results based on the MD simulations. Our finding provides critical revisit and valuable insight to the exact thermal conductivity value of PG.
作者机构：
[Zhu, De-Xing; Li, Xiao-Hua; Xu, Yang-Yang; Hu, Xiao-Yuan] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Wu, Xi-Jun] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Chu, Peng-Cheng] Qingdao Univ Technol, Res Ctr Theoret Phys, Sci Sch, Qingdao 266033, Peoples R China.;[Li, Xiao-Hua] Univ South China, Natl Exemplary Base Int Sci & Technol, Collaborat Nucl Energy & Nucl Safety, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua] Univ South China, Cooperat Innovat Ctr Nucl Fuel Cycle Technol & Equ, Hengyang 421001, Peoples R China.
通讯机构：
[Xiao-Hua Li] S;School of Nuclear Science and Technology, University of South China, Hengyang, China<&wdkj&>National Exemplary Base for International Science and Technology. Collaboration of Nuclear Energy and Nuclear Safety, University of South China, Hengyang, China<&wdkj&>Cooperative Innovation Center for Nuclear Fuel Cycle Technology and Equipment, University of South China, Hengyang, China<&wdkj&>Key Laboratory of Low Dimensional Quantum Structures and Quantum Control, Hunan Normal University, Changsha, China
关键词：
Proton radioactivity;Gamow model;Half-lives
摘要：
In the present study, on the basis of the screened electrostatic effect of the Coulomb potential, we propose an improved Gamow model within the centrifugal potential in which there are only two adjustable parameters, i.e., the screened parameters t and g, which represent the combined effect of the interaction potential and reduced mass of the emitted proton-daughter nucleus on the half-life of proton radioactivity in the overlapping region. Using this model, we systematically calculated the proton radioactivity half-lives of 31 spherical nuclei and 13 deformed nuclei and obtained corresponding root-mean-square deviations of 0.274 and 0.367, respectively. The relationship between the proton radioactivity half-life of
$$^{177}$$
Tl
$$^{\mathrm{m}}$$
and the corresponding angular momentum l removed by the emitted proton is also discussed. In addition, we used the proposed model to predict the proton radioactivity half-lives of 18 nuclei whose proton radioactivity is energetically allowed or observed but not yet quantified in NUBASE2020. For comparison, we used the universal decay law of proton radioactivity proposed by Qi et al. (Phys Rev C 85:011303, 2012.
https://doi.org/10.1103/PhysRevC.85.011303
), and the new Geiger–Nuttall law of proton radioactivity proposed by Chen et al. (Eur Phys J 55:214, 2019.
https://doi.org/10.1140/epja/i2019-12927-7
).
作者机构：
[Zhang, Yiqing; Li, Zhenbo; Xu, Feng; Zhang, YQ] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Zhang, YQ ] U;Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
摘要：
The highly in-plane mechanical anisotropic black phosphorus (BP) has widely used in nanoelectromechanical systems. The dynamic behavior and thermoelastic damping of circular single-layered BP-based (CSLBP-based) mass sensor are investigated. Molecular dynamic (MD) simulations and circular orthotropic elastic plate (COEP) attached a concentrate mass are adopted to obtain the natural frequency of CSLBP attached atomic mass. Thermoelastic damping of CSLBP attached atomic mass is calculated by COEP attached a concentrate mass considering thermal effect. The effect of attachment mass and CSLBP size on the natural frequency of CSLBP attached atomic mass are discussed. The natural frequency of CSLBP-based mass sensor is very sensitive to the attachment mass. Thermoelastic damping of CSLBP-based attached atomic mass depends on the radius of CSLBP-based mass sensor, the attachment mass and the environmental temperature. The thermoelastic damping of CSLBP-based mass sensor decreased with increasing the attachment mass and the radius of CSLBP. The COEP can predict the dynamic behavior of CSLBP-based mass sensor.
