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Dynamics of Airy beams in parity–time symmetric optical lattices

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Chinese Physics B 2019年第5期28卷 106-110页

作者： rui-hong Chen Wei-Yi hong Guangzhou Key Laboratory for Special Fiber Photonic Devices and Applications South China Normal University Provincial Key Laboratory of Nanophotonic Functional Materials and Devices South China Normal University

We investigate the dynamics of airy beams propagating in the parity–time(PT) symmetric optical lattices in linear and nonlinear regimes, respectively. For the linear propagation, the position of the channel guided by the PT lattice can be shifted by tuning the lattice frequency. The underlying physical mechanism of this phenomenon is also discussed. An interesting phenomenon is found in the nonlinear regime in that the airy beam becomes a tilt channel with several Rayleigh lengths. These findings create new opportunities for optical steering and manipulations.

关键词： parity-time symmetry Airy beam nonlinear Schrodinger equation optical lattices

Diffusion coefficient of Ti^4+ in calcium ferrite/calcium titanate diffusion couple

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International Journal of Minerals,Metallurgy and Materials 2020年第9期27卷 1216-1225页

作者： Wang Wei hong-rui Yue Xiang-xin Xue School of Metallurgy Northeastern UniversityShenyang 110819China

This study investigated the interdiffusion of calcium ferrite/calcium titanate system in the time range of 0-120 min by the diffusion couple method in a CO/N2 reducing atmosphere at 700℃.The results show that after the diffusion reaction occurred,no longitudinal agglomerations were present on the substrate surface on the calcium titanate *** the diffusion time was increased to 105 min,a net vacancy flow from calcium titanate to calcium ferrite might have occurred,causing the surface of the calcium ferrite substrate to *** thickness of the diffusion layer of the calcium ferrite/calcium titanate system was about 17-48μm,which conforms to the parabolic law of *** diffusion coefficient and the Ti^4+concentration in the calcium ferrite/calcium titanate system are *** shows an increase in the diffusion coefficient with the increase of Ti^4+concentration,and the diffusion coefficient value was in the range of 10^−12-10^−11 cm^2·s^−1.

关键词： vanadium-titanium sinter diffusion couple calcium ferrite calcium titanate diffusion coefficient

Positive Solutions for Second-Order m-Point Boundary Value Problems on Time Scales

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Acta Mathematica Sinica,English Series 2006年第6期22卷 1797-1804页

作者： Wan Tong LI hong rui SUN School of Mathematics and Statistics Lanzhou University Lanzhou 730000 P. R. China

Let T be a time scale such that 0, T ∈ T. By means of the Schauder fixed point theorem and analysis method, we establish some existence criteria for positive solutions of the m-point boundary value problem on time scales where α ∈ Ctd（（O,T,[0,∞））,f∈ Ckd（[0,∞）×[0,∞））,β,γ ∈[0,∞）,ξi ∈（0,p（T）.b,ai∈ （0,∞）（for i = 1,..., m - 2） are given constants satisfying some suitable hypotheses. We show that this problem has at least one positive solution for sufficiently small b 〉 0 and no solution for sufficiently large b. Our results are new even for the corresponding differential equation （T = R） and difference equation （T = Z）.

关键词： time scales positive solution Schauder fixed point theorem

Diference Systems of Sets Based on Cosets Partitions

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Acta Mathematica Sinica,English Series 2013年第12期29卷 2261-2272页

作者： Geng Sheng ZHANG hong rui WANG College of Mathematics and Information Science Hebei Normal University Hebei Key Laboratory of Computational Mathematics and Applications

Difference systems of sets （DSS） are combinatorial configurations that arise in connection with code synchronization. This paper proposes a new method to construct DSSs, which uses known DSSs to partition some of the cosets of Zv relative to subgroup of order k, where v = km is a composite number. As applications, we obtain some new optimal DSSs.

关键词： Difference systems of sets code synchronization difference set coset optimal

Algebraic Bethe Ansatz for the Osp(1|2) Model with Reflecting Boundaries

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Communications in Theoretical Physics 2001年第7期36卷 19-24页

作者： YUE rui-hong XIONG Chuan-Hua Institute of Modern Physics Northwest University Xi''an 710069 China Institute of Modern Physics Northwest University Xi''an 710069 China

In the framework of graded quantum inverse scattering method, we obtain the eigenvalues and the eigenvectors of the Osp(l|2) model with reflecting boundary conditions in FBF background. The corresponding Bathe ansatz ... 详细信息

关键词： Osp(1|2), algebraic Bethe ansatz, reflection equation

Asymptotic Estimates to Non-global Solutions of a Multi-coupled Parabolic System

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Acta Mathematica Sinica,English Series 2008年第10期24卷 1713-1726页

作者： rui hong JI Si Ning ZHENG Department of Applied Mathematics Dalian University of Technology Dalian 116024 P. R. China

This paper deals with asymptotic behavior of solutions to a parabolic system, where two heat equations with inner absorptions are multi-coupled via inner sources and boundary flux. We determine four kinds of simultaneous blow-up rates under different dominations of nonlinearities in the model. Two characteristic algebraic systems associated with the problem are introduced to get very simple descriptions for the four simultaneous blow-up rates as well as the known critical exponents, respectively. It is observed that the blow-up rates are independent of the nonlinear inner absorptions.

关键词： simultaneous blow-up rates asymptotic estimates characteristic algebraic system multicoupled parabolic system non-global solution critical exponent

Phase Transition and Quasinormal Modes for Spherical Black Holes in 5D Gauss–Bonnet Gravity

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Chinese Physics Letters 2018年第4期35卷 7-11页

作者： Ming Zhang rui-hong Yue Faculty of Science Xi'an Aeronautical University Xi'an 710077 National Joint Engineering Research Center of Special Pump System Technology Xi'an 710077 Center for Gravitation and Cosmology College of Physical Science and Technology Yangzhou University Yangzhou 225009

We study the quasinormal modes（QNMs） of massless scalar perturbations to probe the van der Waals like SBH/LBH phase transition of anti-de Sitter black holes in five-dimensional（5D） Gauss–Bonnet gravity. It is found that the signature of this SBH/LBH phase transition is detected when the slopes of the QNMs frequency change drastically and differently in small and large black holes near the critical point. The obtained results further support that the QNMs can be a dynamic probe to investigate the thermodynamic properties in black holes.

关键词： der Phase Transition and Quasinormal Modes for Spherical Black Holes in 5D Gauss Bonnet Gravity

A new rotating black hole in quintessential dark energy and its thermodynamics

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Science China(Physics,Mechanics & Astronomy) 2019年第11期62卷 63-68页

作者： Yue Wang Chen-Hao Wu rui-hong Yue Center for Gravitation and Cosmology College of Physical Science and Technology Yangzhou University

The spacetime metric for a rotating black hole in a quintessential field can take various forms owing to the ambiguity of the state equation for quintessential dark energy in rotating spacetime. Herein, to provide a more physical solution, the metric is determined by imposing the laws of thermodynamics of a black hole, which is typically valid in most systems. The new metric ensures the validity of the first and second laws of thermodynamics and can degenerate to the known non-rotating metric in the quintessential field. Moreover, we set an upper limit for the black hole rotation parameter, a, in our metric according to the weak energy condition(WEC).

关键词： rotating black holes in quintessential field thermodynamics weak energy condition

A Creative Computing Approach to Film-story Creation:A Proposed Theoretical Framework

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International Journal of Automation and computing 2020年第5期17卷 678-690页

作者： hong-Wei Liu hong-rui Liu hong-Ji Yang En-Ze Yu Tianjin Foreign Studies University Tianjin 300204China San Jose State University San Jose 95192USA University of Leicester Leicester LE17RHEngland South China Business College Guangdong University of Foreign StudiesGuangzhou 510545China

The film industry is currently witnessing a severe shortage of good stories and a decline in storytelling ***,creative computing has been employed successfully in the humanities,especially in the fields of *** the similarities between the process of film-story creation and that of creative computing,we propose a theoretical framework across the two domains,where the exploratory,the combinational and the transformational rules are jointly utilized to generate new ideas and provide potential options in film-story *** framework consists of a film knowledge library,a creative computing system,an evaluation model and an output *** combination of creative computing and film story creation not only helps to produce novel storylines,shorten the creation cycle,and speed up film industry,but also contributes to the novelty and specificity of interdisciplinary studies.

关键词： Creative computing film-story creation creativity rules automatic generation human-like scriptwriting