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A new non-perturbative approach in quantum mechanics for time-independent Schr?dinger equations

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Science China(Physics,Mechanics & Astronomy) 2020年第3期63卷 70-81页

作者： ShiJun liao Center of Advanced Computing School of Naval ArchitectureOcean and Civil EngineeringShanghai Jiao Tong UniversityShanghai 200240China School of Physics and Astronomy Shanghai Jiao Tong UniversityShanghai 200240China

A new non-perturbative approach is proposed to solve time-independent Schr?dinger equations in quantum *** is based on the homotopy analysis method(HAM)that was developed by the author in 1992 for highly nonlinear equations and has been widely applied in many *** perturbative methods,this HAM-based approach has nothing to do with small/large physical ***,convergent series solution can be obtained even if the disturbance is far from the known status.A nonlinear harmonic oscillator is used as an example to illustrate the validity of this approach for disturbances that might be one thousand times larger than the possible superior limit of the perturbative *** HAM-based approach could provide us rigorous theoretical results in quantum mechanics,which can be directly compared with experimental ***,this is of great benefit not only for improving the accuracy of experimental measurements but also for validating physical theories.

关键词： non-perturbative series homotopy analysis method quantum mechanics

Friction between Strongly Compressed Polymer Brushes

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Chinese Journal of Polymer Science 2024年第9期42卷 1368-1374,I0008页

作者： Qi liao Institute of Chemistry Chinese Academy of SciencesBejing 100190China

We present the results of molecular dynamics simulations of steady shear between a pair of neutral polymer brushes,as well as a pair of charged polymer brushes in the strongly compressed *** results of the molecular dynamic simulations of neutral and polyelectrolyte brushes in implicit solvent including normal forces,shear forces,viscosities and friction coefficients as a function of separation between brushes,are presented in the *** comparison of the simulation results of neutral and charged brushes shows that the charged brushes is in the quasi-neutral regime,and the dependence of viscosity on the separation distance show the similar power law of neutral *** simulation results confirm that the implicit solvent simulations of polyelectrolyte brushes that ignore hydrodynamics interaction are in agreement with the scaling predictions qualitatively because of screening of hydrodynamic interaction and long-range electrostatic interactions on the correlation length *** of neutral and charged brushes show the lubrication properties that the friction coefficient decreases with the separation decreases at enough large ***,a maximum of friction coefficients is observed for polyelectrolyte brushes,which is in contrast to the neutral brushes with monotonical dependence.

关键词： Polymer brush Frictions coefficient Polyelectrolyte Lubrication

一种基于加权状态选择的LTE NAS协议模糊测试方法

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信息安全研究 2025年第1期11卷 12-20页

作者：廖显锋吴礼发南京邮电大学计算机学院、软件学院、网络空间安全学院南京210023

NAS协议是LTE(longterm evolution)网络中移动设备与核心网络之间的主要控制面协议,其安全性对于保障整个4G网络稳健安全运行具有重要意义.模糊测试是一种广泛使用的漏洞挖掘技术,现有的模糊测试方法应用于NAS(nonaccess stratum)... 详细信息

NAS协议是LTE(longterm evolution)网络中移动设备与核心网络之间的主要控制面协议,其安全性对于保障整个4G网络稳健安全运行具有重要意义.模糊测试是一种广泛使用的漏洞挖掘技术,现有的模糊测试方法应用于NAS(nonaccess stratum)协议时存在测试效率低、测试用例难以构建等问题.为了解决这些问题,提出了一种基于权重的测试状态选择算法:以NAS协议状态机为基础,根据测试反馈动态地调整每个测试状态的权重;以消息元素IE为最小单位设计了测试用例生成算法;实现了模糊测试工具NASFuzzer并对开源核心网open5GS及真实终端设备进行测试.测试结果表明,该方法能够有效挖掘LTE NAS协议实现中的漏洞.

关键词： LTE NAS 模糊测试状态选择漏洞挖掘

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重质碳酸钙/粒化高炉矿渣粉复合对沥青防水涂料性能的影响

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涂料工业 2025年第1期55卷 31-37页

作者：满海双廖国胜刘秋秋陈乐舟廖宜顺梅军鹏武汉科技大学城市建设学院武汉430065 武汉科技大学高性能工程结构研究院武汉430065 武汉市中心工程检测有限公司武汉430014 湖北碱克新材料有限公司武汉430065

以丙烯酸乳液和乳化沥青为树脂基料,以不同细度的重质碳酸钙(GCC)和粒化高炉矿渣粉(GS)为无机填料,并添加消泡剂、增稠剂等助剂,制备出一种改性沥青防水涂料。探究了GCC/GS复合对改性沥青防水涂料性能的影响,通过测定不同细度的GCC和GS... 详细信息

以丙烯酸乳液和乳化沥青为树脂基料,以不同细度的重质碳酸钙(GCC)和粒化高炉矿渣粉(GS)为无机填料,并添加消泡剂、增稠剂等助剂,制备出一种改性沥青防水涂料。探究了GCC/GS复合对改性沥青防水涂料性能的影响,通过测定不同细度的GCC和GS双掺制备的涂层在不同环境中的拉伸性能、黏结强度、吸水率及低温柔度等性能,分析了GCC/GS复合时其细度及掺量对防水涂料性能的影响。同时,采用扫描电镜(SEM)观察了不同细度的GCC和GS以不同比例双掺时制备的涂层表面微观形貌。结果表明:GCC/GS的细度及双掺比例会对改性沥青防水涂料的性能产生显著影响,当600目的GCC-A与S95级的GS-A双掺且w(GS)=12%时涂膜综合性能较好。

关键词：沥青防水涂料无机填料细度拉伸性能黏结强度吸水率

单层Janus Ga_(2)SSe光催化水解性质的第一性原理研究

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原子与分子物理学报 2025年第3期42卷 45-51页

作者：胡新华廖杨芳贵州省贵阳市乌当区第四中学贵阳550018 贵州师范大学物理与电子科学学院贵阳550025

光催化水解制氢为解决能源危机和环境污染问题提供了一种可行的策略.本文通过第一性原理计算,提出了单层Janus Ga_(2)SSe是一种有效的水解光催化剂.结构稳定性分析表明,单层Janus Ga_(2)SSe具有能量和动力学稳定性.电子性质表明,单层Jan... 详细信息

光催化水解制氢为解决能源危机和环境污染问题提供了一种可行的策略.本文通过第一性原理计算,提出了单层Janus Ga_(2)SSe是一种有效的水解光催化剂.结构稳定性分析表明,单层Janus Ga_(2)SSe具有能量和动力学稳定性.电子性质表明,单层Janus Ga_(2)SSe属于间接带隙半导体,有利于降低载流子的复合几率.光催化性能分析表明,单层Janus Ga_(2)SSe的能带边缘位置适合PH=0~14宽范围的光催化水解.此外,单层Janus Ga_(2)SSe具有较高的紫外光和可见光吸收、较大的内建电场、较小的载流子有效质量保证了光生载流子有效分离并快速迁移到反应活性位点参与水的氧化还原反应.研究结果为单层Janus Ga_(2)SSe的合成及其作为水解光催化剂的潜在应用提供了有价值的理论指导.

关键词： Janus材料光催化水解第一性原理

Modified Omega-K algorithm for processing helicopter-borne frequency modulated continuous waveform rotating synthetic aperture radar data

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Journal of Systems Engineering and Electronics 2015年第3期26卷 476-485页

作者： Dong Li Guisheng liao Yong liao Lisheng Yang Key Laboratory of Aerocraft Tracking Telemetering & Command and Communication Ministry of EducationChongqing University National Lab of Radar Signal Processing Xidian University

With appropriate geometry configuration, helicopter- borne rotating synthetic aperture radar （ROSAR） can break through the limitations of monostatic synthetic aperture radar （SAR） on forward-looking imaging. With this capability, ROSAR has extensive potential applications, such as self-navigation and self-landing. Moreover, it has many advantages if combined with the frequency modulated continuous wave （FMCW） technology. A novel geometric configuration and an imaging algorithm for helicopter-borne FMCW-ROSAR are proposed. Firstly, by per- forming the equivalent phase center principle, the separated trans- mitting and receiving antenna system is equalized to the case of system configuration with antenna for both transmitting and receiving signals. Based on this, the accurate two-dimensional spectrum is obtained and the Doppler frequency shift effect in- duced by the continuous motion of the platform during the long pulse duration is compensated. Next, the impacts of the velocity approximation error on the imaging algorithm are analyzed in de- tail, and the system parameters selection and resolution analysis are presented. The well-focused SAR image is then obtained by using the improved Omega-K algorithm incorporating the accurate compensation method for the velocity approximation error. FJnally, correctness of the analysis and effectiveness of the proposed al- gorithm are demonstrated through simulation results.

关键词： helicopter-borne rotating synthetic aperture radar(ROSAR) frequency modulated continuous wave (FMCW) improved Omega-K algorithm two-dimensional spectrum.

Dynamic responses of a sediment-filled valley with a fluid layer subject to incident waves

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Earthquake Engineering and Engineering Vibration 2011年第2期10卷 175-185页

作者： Wen-I liao Taipei University of Technology (NTUT)

The diffraction of elastic waves by a sedimentary valley in a homogeneous elastic half-space is studied in this paper. The sediment-filled valley is composed of a fluid layer over a soft soil deposit whose characteristics may be significant and should be carefully considered when designing long span bridges with high piers. The method of analysis adopted in the paper is to decompose the problem into an interior region and an exterior region. In the exterior region, the scattered wave fields are constructed with the linear combinations of two independent sets of Lamb＇s singular solutions, i.e., the integral solutions for two concentrated surface loads in two directions; and their derivatives are used to represent the scattered wave fields. A technique is proposed to calculate the integrals in the wave-number domain based on the method of steepest descent. For the interior region, the wave fields for the fluid layer and soft soil deposit are expressed in terms of wave functions which satisfy the equation of motion. The continuity condition at the interface of the media is satisfied in the least square sense. The effects of geometric topography, soil amplification and fluid layer subject to different types of incident harmonic plane waves are analyzed and discussed..

关键词： sedimentary valley scattered wave least square

The Reduced Space Method for Calculating the Periodic Solution of Nonlinear Systems

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Computer Modeling in Engineering & Sciences 2018年第5期115卷 233-262页

作者： Haitao liao Institute of advanced structure technology Beijing institute of technologyBeijing 100081China

A hybrid method combined the reduced Sequential Quadratic Programming(SQP)method with the harmonic balance method has been developed to analyze the characteristics of mode localization and internal resonance of nonlinear bladed *** the aid of harmonic balance method,the nonlinear equality constraints for the constrained optimization problem are *** reduced SQP method is then utilized to deal with the original constrained optimization *** the null space decomposition technique to the harmonic balance algebraic equations results in the vanishing of the nonlinear equality constraints and a simple optimization problem involving only upper and lower bound constraints on the optimization variables is formed and ***,numerical results are given for several test examples to validity the proposed *** efficiency of the solution method to trace the family of energy dependent nonlinear modes is *** localization nonlinear normal modes of bladed disks related to various types of internal resonances are explored.

关键词： Nonlinear normal modes internal resonances reduced SQP method harmonic balance method

Phase equilibrium studies of titanomagnetite and ilmenite smelting slags

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International Journal of Minerals,Metallurgy and Materials 2022年第12期29卷 2162-2171页

作者： Jinfa liao Baojun Zhao International Research Institute for Resources EnergyEnvironment and MaterialsJiangxi University of Science and TechnologyGanzhou 341000China Sustainable Minerals Institute University of QueenslandBrisbaneSaint Lucia 4072Australia

The phase equilibrium information of slag plays an important role in pyrometallurgical processes to obtain optimum fluxing conditions and operating *** smelting reduction of titanomagnetite and ilmenite ores in an iron blast furnace(BF)can form Ti(C,N)particles,causing the increased viscosities of slag and hot *** has been developed in recent years for ironmaking and does not need coke and *** formation of Ti(C,N)in the HIsmelt process is avoided because the oxygen partial pressure in the process is higher than that in the *** smelting of TiO_(2)-containing ores in the HIsmelt process results in Al_(2)O_(3)-MgO-SiO_(2)-CaO-TiO_(2)*** equilibrium in this slag system has been investigated using equilibration,quenching,and electron probe microanalysis *** experimental results were presented in two pseudo-binary sections,which represent the process of HIsmelt for the treatment of 100%titanomagnetite ore and mixed titanomagnetite+ilmenite ore(mass ratio of 2:1),*** primary phases observed in the composition range investigated include pseudo-brookite M_(3)O_(5)(MgO·2TiO_(2)-Al_(2)O_(3)·TiO_(2)),spinel(MgO·Al_(2)O_(3)),perovskite CaTiO_(3),and rutile TiO_(2).The results show that the liquidus temperatures decrease in the TiO_(2)and M_(3)O_(5) primary phase fields and increase in the spinel and CaTiO_(3)primary phase fields with the increase in CaO *** calculation of solid-phase fractions from the experimental data has been *** effect of basicity on the liquidus temperatures of the slag has been *** smelting of titanomagnetite plus ilmenite ores has significant advantages to obtain low-sulfur hot metal and high-TiO_(2)*** determined liquidus temperatures were compared with the FactSage predictions to evaluate the existing thermodynamic databases.

关键词： HIsmelt slag phase equilibrium Al_(2)O_(3)-MgO-SiO_(2)-CaO-TiO_(2)system FactSage