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Weak Mean Attractor of Stochastic Reaction-Diffusion Equation with Superlinear Multiplicative Noise and Strong Dissipativity Supercritical Nonlinearities
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作者 QI Ailing JU Xuewei TONG Xiaoting 《数学理论与应用》 2025年第4期28-49,共22页
This paper investigates global solutions and long-time dynamics for the stochastic reaction-diffusion equation du=(Δu+f(u)+g(x,t))dt+σ(u)dW on a bounded domain,where the drift term f(u),with polynomial growth rate ... This paper investigates global solutions and long-time dynamics for the stochastic reaction-diffusion equation du=(Δu+f(u)+g(x,t))dt+σ(u)dW on a bounded domain,where the drift term f(u),with polynomial growth rate β,is strongly dissipative and the diffusion term σ(u)has growth rate γ,satisfying β+1>2γ.Under this condition,we establish the existence,uniqueness,and regularity of solutions in Bochner spaces.Our analysis relies only on weak monotonicity conditions and requires no further growth restrictions on f andσ.Moreover,we prove the existence of a weak mean random attractor for the system.These results offer new insights into the balance mechanism between stochastic perturbations and dissipative effects in superlinear regimes. 展开更多
关键词 Stochastic reaction-diffusion equation Strongly dissipative drift term Superlinear noise Bochner space Weak mean attractor
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Dissipativity Analysis of Neural Networks with Time-varying Delays
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作者 Yan Sun Bao-Tong Cui 《International Journal of Automation and computing》 EI 2008年第3期290-295,共6页
A new definition of dissipativity for neural networks is presented in this paper. By constructing proper Lyapunov functionals and using some analytic techniques, sufficient conditions are given to ensure the dissipati... A new definition of dissipativity for neural networks is presented in this paper. By constructing proper Lyapunov functionals and using some analytic techniques, sufficient conditions are given to ensure the dissipativity of neural networks with or without time-varying parametric uncertainties and the integro-differential neural networks in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness of the obtained results. 展开更多
关键词 Neural network dissipativity Lyapunov functional
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Dissipativity of Multistep Runge-Kutta Methods for Nonlinear Neutral Delay-Integro-Differential Equations with Constrained Grid
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作者 Sidi Yang 《Journal of Contemporary Educational Research》 2021年第1期99-107,共9页
This paper is concerned with the numerical dissipativity of multistep Runge-Kutta methods for nonlinear neutral delay-integro-differential equations.We investigate the dissipativity properties of-algebraically stable ... This paper is concerned with the numerical dissipativity of multistep Runge-Kutta methods for nonlinear neutral delay-integro-differential equations.We investigate the dissipativity properties of-algebraically stable multistep Runge-Kutta methods with constrained grid.The finite-dimensional and infinite-dimensional dissipativity results of-algebraically stable multistep Runge-Kutta methods are obtained. 展开更多
关键词 dissipativity -algebraically stability Nonlinear neutral delay-integro-differential equation Multistep Runge-Kutta methods
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EXACT AND DISCRETIZED DISSIPATIVITY OF THE PANTOGRAPH EQUATION 被引量:12
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作者 Siqing Gan 《Journal of Computational Mathematics》 SCIE EI CSCD 2007年第1期81-88,共8页
The analytic and discretized dissipativity of nonlinear infinite-delay systems of the form x'(t) = g(x(t),x(qt))(q∈ (0, 1), t 〉 0) is investigated. A sufficient condition is presented to ensure that the... The analytic and discretized dissipativity of nonlinear infinite-delay systems of the form x'(t) = g(x(t),x(qt))(q∈ (0, 1), t 〉 0) is investigated. A sufficient condition is presented to ensure that the above nonlinear system is dissipative. It is proved the backward Euler method inherits the dissipativity of the underlying system. Numerical examples are given to confirm the theoretical results. 展开更多
关键词 Infinite delay Pantograph equation Backward Euler method dissipativity.
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Dissipativity of Multistep Runge-Kutta Methods for Nonlinear Volterra Delay-integro-differential Equations 被引量:4
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作者 Rui QI Cheng-jian ZHANG Yu-jie ZHANG 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2012年第2期225-236,共12页
This paper is concerned with the numerical dissipativity of multistep Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. We investigate the dissipativity properties of (k, l)- algebraic... This paper is concerned with the numerical dissipativity of multistep Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. We investigate the dissipativity properties of (k, l)- algebraically stable multistep Runge-Kutta methods with constrained grid and an uniform grid. The finite- dimensional and infinite-dimensional dissipativity results of (k, /)-algebraically stable Runge-Kutta methods are obtained. 展开更多
关键词 Volterra delay-integro-differential equations multistep Runge-Kutta methods dissipativity (k l)-algebraically stable
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DISSIPATIVITY AND EXPONENTIAL STABILITY OF θ-METHODS FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS WITH A BOUNDED LAG 被引量:3
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作者 Hong-jiong Tian (Department of Mathematics, Shanghai Normal University, Shanghai 200234, China) 《Journal of Computational Mathematics》 SCIE EI CSCD 2003年第6期715-726,共12页
This paper deals with analytic and numerical dissipativity and exponential stability of singularly perturbed delay differential equations with any bounded state-independent lag. Sufficient conditions will be presented... This paper deals with analytic and numerical dissipativity and exponential stability of singularly perturbed delay differential equations with any bounded state-independent lag. Sufficient conditions will be presented to ensure that any solution of the singularly perturbed delay differential equations (DDEs) with a bounded lag is dissipative and exponentially stable uniformly for sufficiently small ε > 0. We will study the numerical solution defined by the linear θ-method and one-leg method and show that they are dissipative and exponentially stable uniformly for sufficiently small ε > 0 if and only if θ = 1. 展开更多
关键词 Singular perturbation Θ-METHODS dissipativity Exponential stability.
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Global dissipativity of stochastic Lotka-Volterra system with feedback controls 被引量:2
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作者 Qimin Zhang Xinjing Zhang Hongfu Yang 《International Journal of Biomathematics》 2017年第2期127-139,共13页
In this paper, a class of stochastic Lotka Volterra system with feedback controls is considered. The purpose is to establish some criteria to ensure the system is globally dissipative in the mean square. By constructi... In this paper, a class of stochastic Lotka Volterra system with feedback controls is considered. The purpose is to establish some criteria to ensure the system is globally dissipative in the mean square. By constructing suitable Lyapunov functions as well as combining with Jensen inequality and Ito formula, the sufficient conditions are established and they are expressed in terms of the feasibility to a couple linear matrix inequalities (LMIs). Finally, the main results are illustrated by examples. 展开更多
关键词 Lyapunov functions linear matrix inequalities Ito formula global dissipativity in mean.
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Polynomial dissipativity of proportional delayed BAM neural networks
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作者 Lin Xing Liqun Zhou 《International Journal of Biomathematics》 SCIE 2020年第6期179-198,共20页
This paper pays close attention to the global polynomial dissipativity(GPD)for proportional delayed BAM neural networks(PDBAMNNs).The global exponential dissipativity(GED)and the global dissipativity(GD)are also talke... This paper pays close attention to the global polynomial dissipativity(GPD)for proportional delayed BAM neural networks(PDBAMNNs).The global exponential dissipativity(GED)and the global dissipativity(GD)are also talked about.Under the help of novel Lyapunov functionals and a generalized Halanay inequality,a set of dissipative criteria for such systems are led out,together with the global polynomial attracting set(GPAS)and the global attracting set(GAS).Further,the relationship among GPD,GED and GD is unveiled.Finally,a proposed theoretical condition is validated through a simulation experiment. 展开更多
关键词 Global polynomial dissipativity BAM neural networks proportional delay a generalized Halanay inequality Lyapunov functionals
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Study on Temperature Field Distribution of Hydraulic Motor Pump and Heat Dissipation Simulation of Flow-Solid-Heat Coupled with Spoiler Cooling Device
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作者 Geqiang Li Kai Wang +3 位作者 Juntao Liu Zhengyang Han Shuai Wang Donglin Li 《Frontiers in Heat and Mass Transfer》 2026年第1期120-139,共20页
To explore the distribution law of the temperature field in the motor pump and the influence of the fanshaped DC channel with spoiler in the pump housing on its heat dissipation performance.This study takes the arc-ge... To explore the distribution law of the temperature field in the motor pump and the influence of the fanshaped DC channel with spoiler in the pump housing on its heat dissipation performance.This study takes the arc-gear type hydraulicmotor pump as the research object.In COMSOL,a coupled heat transfer simulationmodel of themotor pump’s fluid-solid coupling is established,and the internal temperature field characteristics are analyzed.To improve the heat dissipation effect of the motor pump,it is proposed to arrange spoiler in the fan-shaped DC channel of the pump housing to enhance heat dissipation.Three types of spoilers,namely,wing-shaped,inclined rectangle-shaped,and wave-shaped,are designed.The simulation results show that when the motor pump operates under rated conditions,due to the poor heat dissipation environment inside the motor pump,the high-temperature areas of the motor pump are concentrated in the rotor and permanent magnet parts.After arranging the spoiler,the turbulent kinetic energy and vorticity in the fan-shaped DC channel of the pump housing are significantly enhanced.All three spoiler structures can reduce the maximum temperature of each component of the motor.According to the comprehensive performance evaluation criterion(PEC),the inclined rectangle-shaped structure has the best comprehensive heat transfer performance(PEC=1.114),while the wave-shaped structure has higher heat transfer efficiency but greater pressure loss.The wing-shaped structure has relatively limited enhancement effect on heat dissipation.This study systematically quantifies the influence of different spoiler structures on heat dissipation performance and flowresistance characteristics,providing a solution for enhancing the heat dissipation of the motor pump. 展开更多
关键词 Motor pump fluid-solid coupling heat dissipation performance SPOILER enhancing the heat dissipation
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Radiative Coupled Evaporation Cooling Hydrogel for Above-Ambient Heat Dissipation and Flame Retardancy
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作者 Qin Ye Yimou Huang +4 位作者 Baojian Yao Zhuo Chen Changming Shi Brian WSheldon Meijie Chen 《Nano-Micro Letters》 2026年第2期368-382,共15页
By combining the merits of radiative cooling(RC)and evaporation cooling(EC),radiative coupled evaporative cooling(REC)has attracted considerable attention for sub-ambient cooling purposes.However,for outdoor devices,t... By combining the merits of radiative cooling(RC)and evaporation cooling(EC),radiative coupled evaporative cooling(REC)has attracted considerable attention for sub-ambient cooling purposes.However,for outdoor devices,the interior heating power would increase the working temperature and fire risk,which would suppress their above-ambient heat dissipation capabilities and passive water cycle properties.In this work,we introduced a REC design based on an all-in-one photonic hydrogel for above-ambient heat dissipation and flame retardancy.Unlike conventional design RC film for heat dissipation with limited cooling power and fire risk,REC hydrogel can greatly improve the heat dissipation performance in the daytime with a high workload,indicating a 12.0℃lower temperature than the RC film under the same conditions in the outdoor experiment.In the nighttime with a low workload,RC-assisted adsorption can improve atmospheric water harvesting to ensure EC in the daytime.In addition,our REC hydrogel significantly enhanced flame retardancy by absorbing heat without a corresponding temperature rise,thus mitigating fire risks.Thus,our design shows a promising solution for the thermal management of outdoor devices,delivering outstanding performance in both heat dissipation and flame retardancy. 展开更多
关键词 Radiative cooling Evaporation cooling Heat dissipation Photonic hydrogel Flame retardancy
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Shakedown analysis of red mudstone fill material with different water contents
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作者 Kang Chen Rui Zhang +2 位作者 Xianfeng Liu Huan Wang Rui Li 《Journal of Rock Mechanics and Geotechnical Engineering》 2026年第1期611-624,共14页
Understanding the shakedown behavior of fill material is paramount to estimate the deformation stability of railway subgrade.Especially for red mudstone fill material(RMF),the noticeable overestimation of bearing capa... Understanding the shakedown behavior of fill material is paramount to estimate the deformation stability of railway subgrade.Especially for red mudstone fill material(RMF),the noticeable overestimation of bearing capacity would be encountered if the conventional strength method is used.This paper presents the shakedown analysis on RMF,with a specific emphasis on the effect of water content.A series of cyclic triaxial tests with 50,000 loading cycles was conducted.Two-stage behavior of permanent deformation and dissipated energy responses was clearly characterized,from which an energy-based criterion was proposed to determine the shakedown limits.The proposed energy-based criterion was validated by examining its performance to various geomaterials including cohesive soils and unbound granular materials(UGMs).By applying the proposed method to RMF,the S-shape evolution curve was obtained in terms of shakedown limits with initial suction.Microfabric difference was believed as the main consequence of the S-shape mode.Demonstration was confirmed by the mercury intrusion porosimetry(MIP)and scanning electron microscope(SEM)analyses.By applying the proposed method to different geomaterials,an extensive comparison was made between the shakedown limits and the static shear strength.The ratio of shakedown limits to the static shear strength for saturated RMF specimen fell within the range of soft clays,while that of unsaturated specimen lies within the range of UGMs. 展开更多
关键词 Red mudstone fill material Permanent deformation Dissipated energy Initial suction MICROSTRUCTURE
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Hysteresis behavior of RC columns with steel angle ends under various levels of axial load
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作者 Zhan Bixiong Geng Xiangri Zhou Wei 《Earthquake Engineering and Engineering Vibration》 2026年第1期157-170,共14页
Bolting steel angles at the bottom ends of columns provides a rapid and efficient method for repairing damaged structures,while also offering a viable approach to restore their potential bearing capacity.To validate t... Bolting steel angles at the bottom ends of columns provides a rapid and efficient method for repairing damaged structures,while also offering a viable approach to restore their potential bearing capacity.To validate the suitability of specific strengthening strategies,particularly the utilization of bolted steel angles,three reinforced concrete frame specimens were subjected to hysteresis testing.These specimens all featured RC columns strengthened with steel angle ends.Additionally,one control specimen without steel angle ends was included in the testing.The hysteresis effects of bolting steel angles were discussed in terms of typical failure mode,hysteresis and skeleton curves,stiffness degradation and energy dissipation.The experimental results revealed that the three specimens that had bolted steel angles exhibited ductile failure behavior.Through analysis of hysteresis and skeleton curves,it was observed that the frame demonstrated distinct plasticity,maintaining sufficient load-bearing capacity even after yielding and exhibiting superior displacement ductility performance.Considering equivalent viscous damping,the energy dissipation capacity of the RC frame increased linearly with drift and remained largely unaffected by structural damage.Therefore,bolting steel angles at specified cross-sections proved to be a viable technique for structural repair and restoration. 展开更多
关键词 reinforced concrete column steel angle ends hysteresis response stiffness degradation energy dissipation
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Artificial Neural Network-Based Flow and Heat Transfer Analysis of Williamson Nanofluid over a Moving Wedge:Effects of Thermal Radiation,Viscous Dissipation,and Homogeneous-Heterogeneous
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作者 Adnan Ashique Nehad Ali Shah +3 位作者 Usman Afzal Yazen Alawaideh Sohaib Abdal Jae Dong Chung 《Computer Modeling in Engineering & Sciences》 2026年第2期642-664,共23页
There is a need for accurate prediction of heat and mass transfer in aerodynamically designed,non-Newtonian nanofluids across aerodynamically designed,high-flux biomedical micro-devices for thermal management and reac... There is a need for accurate prediction of heat and mass transfer in aerodynamically designed,non-Newtonian nanofluids across aerodynamically designed,high-flux biomedical micro-devices for thermal management and reactive coating processes,but existing work is not uncharacteristically remiss regarding viscoelasticity,radiative heating,viscous dissipation,and homogeneous–heterogeneous reactions within a single scheme that is calibrated.This research investigates the flow of Williamson nanofluid across a dynamically wedged surface under conditions that include viscous dissipation,thermal radiation,and homogeneous-heterogeneous reactions.The paper develops a detailed mathematical approach that utilizes boundary layers to transform partial differential equations into ordinary differential equations using similarity transformations.RK4 is the technique for gaining numerical solutions,but with the addition of ANNs,there is an improvement in prediction accuracy and computational efficiency.The study investigates the influence of wedge angle parameter,along with Weissenberg number,thermal radiation parameter and Brownian motion parameter,and Schmidt number,on velocity distribution,temperature distribution,and concentra-tion distribution.Enhanced Weissenberg numbers enhance viscoelastic responses that modify velocity patterns,but radiation parameters and thermophoresis have key impacts on thermal transfer phenomena.This research develops findings that are of enormous application in aerospace,biomedical(artificial hearts and drug delivery),and industrial cooling technology applications.New findings on non-Newtonian nanofluids under full flow systems are included in this work to enhance heat transfer methods in novel fluid-based systems. 展开更多
关键词 Williamson fluid thermal radiation viscous dissipation Artificial Neural Networks(ANNs) homogeneous-heterogeneous reactions
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Damage evolution law under unloading confining pressure of cemented backfill based on energy dissipation
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作者 LIU Wei-zhen GONG Bin +3 位作者 NIU Shi-wei WANG Hui-qin LI Hong-rui HU Zhong-jing 《Journal of Central South University》 2026年第1期400-421,共22页
High ground temperature and unloading disturbance have emerged as critical factors impacting the property of cemented gauge-fly ash backfill(CGFB).The characteristics of energy and damage in CGFB were analyzed under c... High ground temperature and unloading disturbance have emerged as critical factors impacting the property of cemented gauge-fly ash backfill(CGFB).The characteristics of energy and damage in CGFB were analyzed under conditions of high ground temperature and unloading by conducting triaxial unloading tests with different initial confining pressures on CGFB that had been cured at various temperatures.Based on dissipative energy,triaxial unloading confining pressure damage constitutive model of CGFB was constructed.It has been demonstrated that the ratio of elastic strain energy in CGFB decreases and the ratio of dissipated energy increases at the end of unloading increases under higher curing temperature.The change in the elastic energy consumption ratio curve of CGFB,which shifts from a gradual increase to a swift rise at a certain"inflection point",can be utilized as a criterion for evaluating the failure of the unloading strength of CGFB.The triaxial unloading damage constitutive model for CGFB divides the damage progression into three distinct phases:initial damage stage,accelerated damage development stage,and rapid damage growth stage.The research findings offer a theoretical foundation for evaluating the extent of damage to CGFB caused by the combined influences of elevated ground temperature and unloading. 展开更多
关键词 curing temperature cemented gangue-fly ash backfill unloading confining pressure dissipated energy damage constitutive model
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Experimental study on dynamic compressive properties of cement-iron ore tailings foam composites with various polypropylene fiber parameters
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作者 Shawei ZHANG Chao LI +2 位作者 Pengfei LIU Wensu CHEN Hong-Nan LI 《Science China(Technological Sciences)》 2026年第3期308-326,共19页
Polypropylene fibers(PPFs) have been widely used in composite materials due to their sound crack resistance and toughness. In cement-based composites, the incorporation of PPFs can significantly improve their dynamic ... Polypropylene fibers(PPFs) have been widely used in composite materials due to their sound crack resistance and toughness. In cement-based composites, the incorporation of PPFs can significantly improve their dynamic mechanical properties. However, cement-iron ore tailings foam composite(CIFC), a sustainable material utilizing iron ore tailings to partially replace cement, has not been investigated under dynamic loading. This study investigates the dynamic compressive behavior of CIFC with 1%–2.5% PPF content and 3–12 mm PPF lengths under various strain rates. The microstructural characteristics were analyzed prior to dynamic testing. X-ray diffraction(XRD) identified crystalline phases including CaCO_(3)Fe_(2)O_(3), SiO, C-S-H gel, and ettringite. Scanning electron microscopy(SEM) observations demonstrated that appropriate PPF_(2) parameters(e.g., C2L9, a CIFC specimen containing 2% PPF with 9 mm length) enhance fiber-matrix bonding and minimize interconnected pores and microcracks, revealing pronounced fiber bridging effects. Split Hopkinson pressure bar(SHPB) tests were then conducted at strain rates of 120–250 s^(-1), showing that the dynamic properties of CIFC were highly dependent on both strain rates and PPF parameters. Compared to other specimens, C2L9 exhibited a more intact failure pattern with superior compressive strength and energy dissipation capacity, despite showing reduced dynamic increase factor(DIF) and normalized energy dissipation(NED) values. These findings provide practical guidance for applying CIFC with varying PPF parameters in impact-resistant structural designs. 展开更多
关键词 cement-iron ore tailings foam composite polypropylene fiber impact loading dynamic mechanical properties energy dissipation capacity
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Many-Body Enhancement of Excitonic Electron–Hole Recombination in Two-Dimensional Transition Metal Dichalcogenides
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作者 Li Yao Xiang Jiang +1 位作者 Qijing Zheng Jin Zhao 《Chinese Physics Letters》 2026年第1期134-141,共8页
Electron–hole(e–h)recombination is a fundamental process that governs energy dissipation and device efficiency in semiconductors.In two-dimensional(2D)materials,the formation of tightly bound excitons makes exciton-... Electron–hole(e–h)recombination is a fundamental process that governs energy dissipation and device efficiency in semiconductors.In two-dimensional(2D)materials,the formation of tightly bound excitons makes exciton-mediated e–h recombination the dominant decay pathway.In this work,nonradiative e–h recombination within excitons in monolayer MoS_(2) is investigated using first-principles simulations that combine nonadiabatic molecular dynamics with GW and real-time Bethe–Salpeter equation(BSE)propagation.A two-step process is identified:rapid intervalley redistribution induced by exchange interaction,followed by slower phonon-assisted recombination facilitated by exciton binding.By selectively removing the screened Coulomb and exchange terms from the BSE Hamiltonian,their respective contributions are disentangled—exchange interaction is found to increase the number of accessible recombination pathways,while binding reduces the excitation energy and enhances nonradiative decay.A reduction in recombination lifetime by over an order of magnitude is observed due to the excitonic many-body effects.These findings provide microscopic insights for understanding and tuning exciton lifetimes in 2D transition-metal dichalcogenides. 展开更多
关键词 energy dissipation tightly bound excitons many body effects excitonic recombination nonadiabatic molecular dynamics e-h recombination decay pathwayin monolayer mos
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H/V Spectral Ratio Reveals Seismic Response of Base-Isolated Large-Span High-Rise in Beijing
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作者 Zhangdi Xie Cantao Zhuang +2 位作者 Yong Wu Linghui Niu Jianming Zhao 《Structural Durability & Health Monitoring》 2026年第1期341-354,共14页
This study employed tri-component continuous monitoring data from 10 measurement points on both sides of a base isolation layer in the basement of a large-span high-rise building in Beijing,as well as from a free-fiel... This study employed tri-component continuous monitoring data from 10 measurement points on both sides of a base isolation layer in the basement of a large-span high-rise building in Beijing,as well as from a free-field station and roof frame,during a Mw 5.5 magnitude earthquake in Pingyuan,Shandong,in 2023.The H/V spectral ratio method was used to evaluate the structural dynamic response characteristics of the building and analyze the regulatory effect of the base-isolation layer on seismic waves.The results indicate that during the earthquake,the peak frequency of the free-field and the measurement points below the base-isolation layer was stable at 0.17 Hz,whereas the main frequency of the measurement points above the base-isolation layer increased to 0.75–1.18 Hz,which is 4–6 times greater than that of the points below.The amplitude was suppressed by more than 70%,confirming that the base isolation layer effectively isolated the low-frequency energy from the ground and increased the response frequency of the building.When the building was excited by an earthquake,a three-tier frequency gradient was formed throughout the building:“base-isolation layer(0.17 Hz)-main body(1.18 Hz)-roof frame(3.83 Hz)”,which can effectively avoid resonance of the entire building.In addition,the composite base-isolation device changed the dynamic characteristics of the structure.The resonance period was extended from 0.74 s(theoretical value without base isolation)to 5.9 s(calculated value),and the resonance frequency was reduced from 1.35 to 0.17 Hz.This finding indicates that the base-isolation layer can enhance seismic performance by increasing flexibility and damping. 展开更多
关键词 H/V spectral ratio method seismic isolation system seismic response characteristics three-stage frequency gradient energy dissipation mechanism
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DISSIPATIVITY BEHAVIOR OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS
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作者 Yang Zhichun Xu Daoyi 《Annals of Differential Equations》 2007年第4期558-563,共6页
In this paper, we investigate the dissipativity behavior and give the range estimate for solutions of impulsive functional differential equations. Also, some criteria on asymptotical stability and exponential stabilit... In this paper, we investigate the dissipativity behavior and give the range estimate for solutions of impulsive functional differential equations. Also, some criteria on asymptotical stability and exponential stability of the zero solution are obtained. 展开更多
关键词 asymptotic behavior dissipativity STABILITY impulsive differential equations
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ON THE UNIFORM DISSIPATIVITY OF SOME FIFTH-ORDER NON-LINEAR DIFFERENTIAL EQUATIONS 被引量:1
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作者 Afuwape A.U. +1 位作者 Adesina O.A. 《Annals of Differential Equations》 2003年第4期489-496,共8页
This paper studies the problem of uniformly dissipative solutions of some fifth order non-linear differential equations by the use of frequency domain technique. We use the generalized theorem of Yacubovich on dissipa... This paper studies the problem of uniformly dissipative solutions of some fifth order non-linear differential equations by the use of frequency domain technique. We use the generalized theorem of Yacubovich on dissipativity to obtain some new sufficient conditions of the existence of solutions that are dissipative for (1.1) and (1.2). 展开更多
关键词 bounded solutions dissipative solutions and frequency-domain
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Construction of iron manganese metal-organic framework-derived manganese ferrite/carbon-modified graphene composites toward broadband and efficient electromagnetic dissipation 被引量:3
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作者 Baohua Liu Shuai Liu +1 位作者 Zaigang Luo Ruiwen Shu 《International Journal of Minerals,Metallurgy and Materials》 2025年第3期546-555,共10页
The preparation of carbon-based electromagnetic wave(EMW)absorbers possessing thin matching thickness,wide absorption bandwidth,strong absorption intensity,and low filling ratio remains a huge challenge.Metal-organic ... The preparation of carbon-based electromagnetic wave(EMW)absorbers possessing thin matching thickness,wide absorption bandwidth,strong absorption intensity,and low filling ratio remains a huge challenge.Metal-organic frameworks(MOFs)are ideal self-sacrificing templates for the construction of carbon-based EMW absorbers.In this work,bimetallic FeMn-MOF-derived MnFe_(2)O_(4)/C/graphene composites were fabricated via a two-step route of solvothermal reaction and the following pyrolysis treatment.The results re-veal the evolution of the microscopic morphology of carbon skeletons from loofah-like to octahedral and then to polyhedron and pomegran-ate after the adjustment of the Fe^(3+)to Mn^(2+)molar ratio.Furthermore,at the Fe^(3+)to Mn^(2+)molar ratio of 2:1,the obtained MnFe_(2)O_(4)/C/graphene composite exhibited the highest EMW absorption capacity.Specifically,a minimum reflection loss of-72.7 dB and a max-imum effective absorption bandwidth of 5.1 GHz were achieved at a low filling ratio of 10wt%.In addition,the possible EMW absorp-tion mechanism of MnFe_(2)O_(4)/C/graphene composites was proposed.Therefore,the results of this work will contribute to the construction of broadband and efficient carbon-based EMW absorbers derived from MOFs. 展开更多
关键词 metal-organic frameworks GRAPHENE magnetic composites morphology regulation electromagnetic dissipation
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