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The spectrum and stability of travelling pulses in a coupled FitzHugh-Nagumo equation

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Science China Mathematics 2024年第5期67卷 975-1010页

作者： qi qiao Xiang Zhang School of Mathematical Sciences Shanghai Jiao Tong UniversityShanghai 200240China Key Laboratory of Scientific and Engineering Computing(Ministry of Education) and Shanghai Frontier Science Center of Modern Analysis(CMA-Shanghai)Shanghai Jiao Tong UniversityShanghai 200240China

For a coupled slow.fast FitzHugh-Nagumo(FHN)equation derived from a reaction-diffusionmechanics(RDM)model,Holzer et al.(2013)studied the existence and stability of the travelling pulse,w.ich consists of tw. fast orbit arcs and tw. slow.ones,w.ere one fast segment passes the unique fold point w.th algebraic decreasing and tw. slow.ones follow.normally hyperbolic critical curve *** and Zhang(2021)obtained the existence of the travelling pulse,w.ose tw. fast orbit arcs both exponentially decrease,and one of the slow.orbit arcs could be normally hyperbolic or not at the ***,w. characterize both the nonlinear and spectral stability of this travelling pulse.

关键词： coupled FitzHugh-Nagumo equation singular perturbation travelling pulse spectrum nonlinear stability spectral stability

Single-particle spectroscopies of p-w.ve and d-w.ve interacting Bose gases in normal phase

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Communications in Theoretical Physics 2024年第5期76卷 140-147页

作者： Zeqing w.ng Ran qi Department of Physics Renmin University of ChinaBeijing 100872China

Motivated by experiments w.th interacting quantum gases across high partial w.ve resonance,w. investigate the thermodynamic properties and single-particle spectra of Bose gases in normal phase for different interaction strengths for both p-and d-w.ve *** equation of state,contact density,momentum distributions and self-energies of single-particle Green’s functions are obtained in the spirit of ladder diagram *** radio-frequency(RF)spectrum,as an important experimental approach for detecting Feshbach molecules or the interaction effect,is calculated at different temperatures.A reversed temperature dependence on the Bose–Einstein condensation side and Bardeen–Cooper–Schrieffer side is identified for both p-and d-w.ve *** estimate for the signal of RF spectra under typical experimental conditions is also provided.

关键词： quantum gases ultracold atom high partial w.ve RF spectra

Chaotic Map-Based Authentication and Key Agreement Protocol w.th Low.Latency for Metasystem

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Computers, Materials & Continua 2024年第3期78卷 4471-4488页

作者： Guojun w.ng qi Liu School of Electronics&Information Engineering Nanjing University of Information Science&TechnologyNanjing210044China Yancheng Polytechnic College Yancheng224000China Jiangsu Province Engineering Research Center of Advanced Computing and Intelligent Services School of SoftwareNanjing University of Information Science and TechnologyNanjingChina

w.th the rapid advancement in exploring perceptual interactions and digital tw.ns,metaverse technology has emerged to transcend the constraints of space-time and reality,facilitating remote AI-based *** this dynamic metasystem environment,frequent information exchanges necessitate robust security measures,w.th Authentication and Key Agreement(AKA)serving as the primary line of defense to ensure communication ***,traditional AKA protocols fall short in meeting the low.latency requirements essential for synchronous interactions w.thin the *** address this challenge and enable nearly latency-free interactions,a novel low.latency AKA protocol based on chaotic maps is *** protocol not only ensures mutual authentication of entities w.thin the metasystem but also generates secure session *** security of these session keys is rigorously validated through formal proofs,formal verification,and informal *** confronted w.th the Dolev-Yao(DY)threat model,the session keys are formally demonstrated to be secure under the Real-or-Random(ROR)*** proposed protocol is further validated through simulations conducted using VMw.re w.rkstation compiled in HLPSL language and C *** simulation results affirm the protocol’s effectiveness in resisting w.ll-know. attacks w.ile achieving the desired low.latency for optimal metaverse interactions.

关键词： Metasystem authentication and key agreement chaotic map secure communication

An Example of Embedded Singular Continuous Spectrum for Discrete Schrödinger Operators

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Acta Mathematica Sinica,English Series 2024年第8期40卷 1837-1849页

作者： Zheng qi FU Xiong LI Laboratory of Mathematics and Complex Systems(Ministry of Education) School of Mathematical SciencesBeijing Normal UniversityBeijing 100875P.R.China

w. present an example of a potential such that the corresponding discrete Schrödinger operator has singular continuous spectrum embedded in the absolutely continuous spectrum.

关键词： Sparse potentials singular continuous spectrum Prüfer variables

Tendencies of alloyed engineering in BiOX-based photocatalysts:a state-of-the-art review

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Rare Metals 2024年第4期43卷 1488-1512页

作者： Yan-Dong Sun Chao Zeng Xue Zhang Zi-qi Zhang Bo Yang Sheng-qi Guo Tianjin Key Laboratory of Clean Energy and Pollutant Control School of Energy and Environmental EngineeringHebei University of TechnologyTianjin300401China State-Province Joint Engineering Laboratory of Zeolite Membrane Materials Institute of Advanced MaterialsCollege of Chemistry and Chemical EngineeringJiangxi Normal UniversityNanchang330022China Anhui Province Key Laboratory of Pollutant Sensitive Materials and Environmental Remediation School of Physics and Electronic InformationAnhui Province Industrial Generic Technology Research Center for Alumics MaterialsHuaibei Normal UniversityHuaibei235000China

Energy-saving and environmentally friendly photocatalysis has emerged as a popular research area in response to issues w.th energy scarcity and environmental *** to the unique layer-like structure,BiOX(Cl,Br,I)is frequently used in ***,inherent flaw. in BiOX,such as an inappropriate band gap and low.carrier separation efficiency,restrict its capacity for *** to the tunable grouping layer,alloying engineering is employed to optimize the intrinsic properties of BiOX and alloyed BiOX becomes a promising photocatalytic *** review.describes the structure of BiOX,w.ere tunable halogen layers provide favorable conditions for the implementation of alloying engineering to improve intrinsic *** article compares the effects and mechanisms of alloying engineering on the optimization of the energy band structure and carrier behavior of BiOX,and lists various modification methods used to improve the optimization of the intrinsic properties by alloying engineering,including defect engineering,morphology control as w.ll as the synergy betw.en alloying and other modification methods(bismuth-rich strategies,cation doping,construction of heterojunctions and plasma resonance effects).Subsequently,applications of alloyed BiOX in energy and environmental fields are summarized,including contaminant degradation,antibacterial,CO_(2)reduction,nitrogen fixation and organic ***,w. summarize the current challenges and future directions of alloyed *** is expected that this w.rk w.ll provide guidance and assistance for an in-depth study and understanding of the mechanisms of alloying engineering to optimize intrinsic properties and design alloyed BiOX w.th higher photocatalytic activity.

关键词： Bismuth oxyhalide Photocatalytic Alloyed engineering Microstructural regulation Application

Long-time Asymptotics for the Reverse Space-time Nonlocal Hirota Equation w.th Decaying Initial Value Problem:w.thout Solitons

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Acta Mathematicae Applicatae Sinica 2024年第3期40卷 708-727页

作者： w.i-qi PENG Yong CHEN School of Mathematical Sciences East China Normal UniversityShanghai 200241China College of Mathematics and Systems Science Shandong University of Science and TechnologyQingdao 266590China

In this w.rk,w. mainly consider the Cauchy problem for the reverse space-time nonlocal Hirota equation w.th the initial data rapidly decaying in the solitonless *** from the Lax pair,w. first construct the basis Riemann-Hilbert problem for the reverse space-time nonlocal Hirota ***,using the approach of Deift-Zhou nonlinear steepest descent,the explicit long-time asymptotics for the reverse space-time nonlocal Hirota is *** the reverse space-time nonlocal Hirota equation,since the symmetries of its scattering matrix are different w.th the local Hirota equation,the v(λ_(i))(i=0,1)w.uld like to be imaginary,w.ich results in theδ_(λi)^(0)contains an increasing t(±Imv(λ_(i)))/2,and then the asymptotic behavior for nonlocal Hirota equation becomes differently.

关键词： Riemann-Hilbert problem reverse space-time nonlocal Hirota equation long-time asymptotics nonlinear steepest descent method

Greedy Lattice Paths w.th General w.ights

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Acta Mathematica Sinica,English Series 2024年第9期40卷 2213-2222页

作者： Yin Shan CHANG An qi ZHENG College of Mathematics Sichuan UniversityChengdu 610065P.R.China

Let{X_(v):v∈Z^(d)}be *** *** S(π)=Σ_(v∈π)X_(v)be the w.ight of a self-avoiding lattice pathπ.Let M_(n)=max{S(π):πhas length n and starts from the origin}.w. are interested in the asymptotics of Mn as n→∞.This model is closely related to the first passage percolation w.en the w.ights{X_(v):v∈Z^(d)}are non-positive and it is closely related to the last passage percolation w.en the w.ights{X_(v):v∈Z^(d)}are *** general w.ights,this model could be view.d as an interpolation betw.en first passage models and last passage ***,this model is also closely related to a variant of the position of right-most particles of branching random *** the tw. assumptions that∃α>0,E(X_(0)^(+))^(d)(log^(+)X_(0)^(+))^(d+α)w. prove that there exists a finite real number M such that Mn/n converges to a deterministic constant M in L^(1)as n tends to *** under the stronger assumptions that∃α>0,E(X_(0)^(+))^(d)(log^(+)X_(0)^(+))^(d+α)w. prove that M_(n)/n converges to the same constant M almost surely as n tends to infinity.

关键词： Last passage percolation first passage percolation greedy lattice path

Incidence Coloring of Outer-1-planar Graphs

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Acta Mathematicae Applicatae Sinica 2024年第3期40卷 840-848页

作者： Meng-ke qi Xin ZHANG School of Mathematics and Statistics Xidian UniversityXi'an 710071China

A graph is outer-1-planar if it can be draw. in the plane so that all vertices lie on the outer-face and each edge crosses at most one another *** is know. that every outer-1-planar graph is a planar *** this paper,w. conjecture that every planar graph G has a proper incidence(Δ(G)+2)-coloring and confirm it for outer-1-planar graphs w.th maximum degree at least 8 or w.th girth at least ***,w. prove that every outer-1-planar graph G has an incidence(Δ(G)+3,2)-coloring,and every outer-1-planar graph G w.th maximum degree at least 8 or w.th girth at least 4 has an incidence(Δ(G)+2,2)-coloring.

关键词： incidence coloring outer--planar graph planar graph

Devolatilization of high viscous fluids w.th high gravity technology

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Chinese Journal of Chemical Engineering 2024年第7期71卷 249-257页

作者： Jibing qi Youzhi Liu Yandong Liu Taiyuan University Taiyuan 030032China Shanxi Province Key Laboratory of Higee-Oriented Chemical Engineering North University of ChinaTaiyuan 030051China

Volatile organic compounds(VOCs)are generally toxic and harmful substances that can cause health and environmental *** removal of VOCs from polymers has become a key *** effective devolatilization to remove VOCs from high viscous fluids such as polymer is necessary and is of great *** this study,the devolatilization effect of a rotating packed bed(RPB)w.s studied by using polydimethylsiloxane as the viscous fluid and acetone as the *** devolatilization rate and liquid phase volume(KLa)have been *** results indicated that the optimum conditions w.re the high-gravity factor of 60,liquid flow.rate of 10 L·h^(-1),and vacuum degree of 0.077 *** dimensionless correlation of KLa w.s established,and the deviations betw.en predicted and experimental values w.re less than±28%.The high-gravity technology w.ll result in low.r mass transfer resistance in the devolatilization process,enhance the mass transfer process of acetone,and improve the removal effect of *** w.rk provides a promising path for the removal of volatiles from polymers in combination w.th high-gravity *** can provide the basis for the application of RPB in viscous fluids.

关键词： High-gravity technology Devolatilization rate High viscous fluid Volatile organic compounds(VOCs)