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ISOBARIC VAPOR-LIQUID EQUILIBRIUMS OF OCTANE-ETHYL ACETATE AND OCTANE-ISOPROPYL ACETATE SYSTEMS 被引量:2
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作者 陈钟秀 胡望明 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 1995年第3期59-65,共7页
The isobaric vapor-liquid equilibrium data of systems of ethyl acetate<sub>(1)</sub>-n-octane<sub>(2)</sub> andisopropyl acetate<sub>(1)</sub>-n-octane<sub>(2)</sub... The isobaric vapor-liquid equilibrium data of systems of ethyl acetate<sub>(1)</sub>-n-octane<sub>(2)</sub> andisopropyl acetate<sub>(1)</sub>-n-octane<sub>(2)</sub> were determined at 0.0709 MPa and 0.1013 MPa by using a modifiedRose-Williams still.The experimental data were tested for thermodynamical consistency and correlatedsatisfactorily with p-T equation of state and Wilson equation. 展开更多
关键词 OCTANE ETHYL ACETATE isopropyl ACETATE vapor- liquid equilibrium thermodynamic consistency p-T EQUATION WILSON EQUATION
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On Dynamics and Nash Equilibriums of Networked Games 被引量:1
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作者 Daizhan Cheng Tingting Xu +1 位作者 Fenghua He Hongsheng Qi 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI 2014年第1期10-18,共9页
Networked noncooperative games are investigated,where each player(or agent) plays with all other players in its neighborhood. Assume the evolution is based on the fact that each player uses its neighbors current infor... Networked noncooperative games are investigated,where each player(or agent) plays with all other players in its neighborhood. Assume the evolution is based on the fact that each player uses its neighbors current information to decide its next strategy. By using sub-neighborhood, the dynamics of the evolution is obtained. Then a method for calculating Nash equilibriums from mixed strategies of multi-players is proposed.The relationship between local Nash equilibriums based on individual neighborhoods and global Nash equilibriums of overall network is revealed. Then a technique is proposed to construct Nash equilibriums of an evolutionary game from its one step static Nash equilibriums. The basic tool of this approach is the semi-tensor product of matrices, which converts strategies into logical matrices and payoffs into pseudo-Boolean functions, then networked evolutionary games become discrete time dynamic systems. 展开更多
关键词 NETWORKED NON-COOPERATIVE game local infor-mation sub-neighborhood fundamental EVOLUTIONARY equation NASH equilibrium
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Studying on equilibriums between price and QoS in multi-provider overlay access networks
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作者 Wang Yufeng Wang Wendong 《High Technology Letters》 EI CAS 2006年第2期129-135,共7页
From the viewpoint of game theory,this paper proposes a model that combines QoS index with price factor in overlay access networks,and uses the multinomial logit(MNL)to model the choice behaviour of users.Each service... From the viewpoint of game theory,this paper proposes a model that combines QoS index with price factor in overlay access networks,and uses the multinomial logit(MNL)to model the choice behaviour of users.Each service class is considered an independent and competitive entity offered by each provider,which aims at maximizing its own utility.Based on noncooperative game,we prove the existence and uniqueness of equilibriums between QoS levels and prices among various service classes,and demonstrate the properties of equilibriums.Finally,these results are verified via ntunerieal analysis. 展开更多
关键词 Overlay access network noncooperative game multinomial logit model Nash equilibrium
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ApplicationofNon─equilibriumStageModeltoLiquid─liquidExtraction
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作者 费维扬 温晓明 谢润兴 《Tsinghua Science and Technology》 EI CAS 1996年第4期20-23,共4页
The application of the non equilibrium stage model to the multicomponent, non ideal liquid liquid extraction process is described in this paper. Pilot plant experiments and a commercial process of aromatic separati... The application of the non equilibrium stage model to the multicomponent, non ideal liquid liquid extraction process is described in this paper. Pilot plant experiments and a commercial process of aromatic separation by sulfolane in sieve tray extraction columns were chosen as examples to show the advantages and benefits of the non equilibrium stage model over the conventional model. 展开更多
关键词 non equilibrium stage model EXTRACTION aromatic separation tray efficiencies
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A Verification Theorem for Feedback Nash Equilibrium in Multiple-Player Nonzero-Sum Impulse Game 被引量:1
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作者 Ruihai Li Yaoyao Tan +1 位作者 Xiaojie Su Jiangshuai Huang 《IEEE/CAA Journal of Automatica Sinica》 2025年第3期648-650,共3页
Dear Editor,This letter addresses the impulse game problem for a general scope of deterministic,multi-player,nonzero-sum differential games wherein all participants adopt impulse controls.Our objective is to formulate... Dear Editor,This letter addresses the impulse game problem for a general scope of deterministic,multi-player,nonzero-sum differential games wherein all participants adopt impulse controls.Our objective is to formulate this impulse game problem with the modified objective function including interaction costs among the players in a discontinuous fashion,and subsequently,to derive a verification theorem for identifying the feedback Nash equilibrium strategy. 展开更多
关键词 impulse game feedback Nash equilibrium multiple player feedback nash equilibrium strategy impulse game problem nonzero sum modified objective function impulse controlsour
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High-valence Co deposition based on selfcatalysis of lattice Mn doping for robust acid water oxidation 被引量:1
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作者 Ning Yu Fu-Li Wang +5 位作者 Xin-Yin Jiang Jin-Long Tan Mirabbos Hojamberdiev Han Hu Yong-Ming Chai Bin Dong 《Journal of Energy Chemistry》 2025年第3期208-217,共10页
Non-precious metal cobalt-based oxide inevitably dissolves for acid oxygen evolution reaction(OER).Designing an efficient deposition channel for leaching cobalt species is a promising approach.The dissolution-depositi... Non-precious metal cobalt-based oxide inevitably dissolves for acid oxygen evolution reaction(OER).Designing an efficient deposition channel for leaching cobalt species is a promising approach.The dissolution-deposition equilibrium of Co is achieved by doping Mn in the lattice of LaCo_(1-x)Mn_(x)O_(3),prolonging the lifespan in acidic conditions by 14 times.The lattice doping of Mn produces a strain that enhances the adsorption capacity of OH^(-).The self-catalysis of Mn causes the leaching Co to be deposited in the form of CoO_(2),which ensures that the long-term stability of LaCo_(1-x)Mn_(x)O_(3)is 70 h instead of 5 h for LaCoO_(3).Mn doping enhances the deprotonation of^(*)OOH→O_(2)in acidic environments.Notably,the over-potential of optimized LaCo_(1-x)Mn_(x)O_(3)is 345 mV at 10 mA cm^(-2)for acidic OER.This work presents a promising method for developing noble metal-free catalysts that enhance the acidic OER activity and stability. 展开更多
关键词 LaCoO_(3) Mn doping Acidic environment Dissolution-deposition equilibrium
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The Overcoring Technique for Precise Measurement of In Situ Rock Stress at Great Depths:Challenges and Solutions 被引量:1
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作者 Peng Li Yan Liu +4 位作者 Meifeng Cai Shengjun Miao Yuan Li Yunjin Hu Mostafa Gorjian 《Engineering》 2025年第3期9-15,共7页
1.Introduction Various geological phenomena on the surface and in the interior of the Earth,as well as their associated physical and chemical pro-cesses,are closely correlated with the action of in situ rock stress[1-... 1.Introduction Various geological phenomena on the surface and in the interior of the Earth,as well as their associated physical and chemical pro-cesses,are closely correlated with the action of in situ rock stress[1-5].Understanding the rock stress state at great depths is not only an indispensable foundation for solving scientific problems associated with geology,geophysics,and geodynamics-such as plate-driving mechanisms,the earth’s energy equilibrium,earth-quake mechanisms,and tectonic activities-but also a necessary prerequisite for the evaluation,exploitation,and disposal of deep energy and resources,such as coal and metal minerals.Due to the complexity and uncertainty of the origin of in situ rock stress,it is a difficult quantity to evaluate,in comparison with other rock properties.Currently,reliable information on the stress state in a region can only be determined through field stress measurement.Therefore,a variety of stress measurement techniques have been developed and applied worldwide to provide information on crus-tal contemporary stress at specific depth ranges[6]. 展开更多
关键词 situ rock stress earths energy equilibrium plate driving mechanisms earthquake mechanisms overcoring technique geological phenomena physical chemical processes
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Equilibrium Strategies in M/M/1 Retrial Queues with Variable Service Rate
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作者 LIU Yuanyuan YAN Zhaozeng YANG Qin 《应用概率统计》 北大核心 2025年第3期448-466,共19页
We consider a single server constant retrial queue,in which a state-dependent service policy is used to control the service rate.Customer arrival follows Poisson process,while service time and retrial time are exponen... We consider a single server constant retrial queue,in which a state-dependent service policy is used to control the service rate.Customer arrival follows Poisson process,while service time and retrial time are exponential distributions.Whenever the server is available,it admits the retrial customers into service based on a first-come first-served rule.The service rate adjusts in real-time based on the retrial queue length.An iterative algorithm is proposed to numerically solve the personal optimal problem in the fully observable scenario.Furthermore,we investigate the impact of parameters on the social optimal threshold.The effectiveness of the results is illustrated by two examples. 展开更多
关键词 variable service rate retrial queues real-time adaptability equilibrium strategies ALGORITHM
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Temperature control for liquid-cooled fuel cells based on fuzzy logic and variable-gain generalized supertwisting algorithm
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作者 CHEN Lin JIA Zhi-huan +1 位作者 DING Tian-wei GAO Jin-wu 《控制理论与应用》 北大核心 2025年第8期1596-1605,共10页
The liquid cooling system(LCS)of fuel cells is challenged by significant time delays,model uncertainties,pump and fan coupling,and frequent disturbances,leading to overshoot and control oscillations that degrade tempe... The liquid cooling system(LCS)of fuel cells is challenged by significant time delays,model uncertainties,pump and fan coupling,and frequent disturbances,leading to overshoot and control oscillations that degrade temperature regulation performance.To address these challenges,we propose a composite control scheme combining fuzzy logic and a variable-gain generalized supertwisting algorithm(VG-GSTA).Firstly,a one-dimensional(1D)fuzzy logic controler(FLC)for the pump ensures stable coolant flow,while a two-dimensional(2D)FLC for the fan regulates the stack temperature near the reference value.The VG-GSTA is then introduced to eliminate steady-state errors,offering resistance to disturbances and minimizing control oscillations.The equilibrium optimizer is used to fine-tune VG-GSTA parameters.Co-simulation verifies the effectiveness of our method,demonstrating its advantages in terms of disturbance immunity,overshoot suppression,tracking accuracy and response speed. 展开更多
关键词 liquid-cooled fuel cell temperature control generalized supertwisting algorithm fuzzy control equilibrium optimizer
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A Radar Countermeasure Modeling Method Incorporating Cognitive Bias
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作者 Wang Rui Li Xiangyang +2 位作者 Wang Dong Ma Hongguang Zhang Zhili 《系统仿真学报》 北大核心 2025年第4期1090-1101,共12页
Cognitive bias,stemming from electronic measurement error and variability in human perception,exists in cognitive electronic warfare and affects the outcomes of conflicts.In this paper,the dynamic game approach is emp... Cognitive bias,stemming from electronic measurement error and variability in human perception,exists in cognitive electronic warfare and affects the outcomes of conflicts.In this paper,the dynamic game approach is employed to develop a model for cognitive bias induced by incomplete information and measurement errors in cognitive radar countermeasures.The payoffs for both parties are calculated using the radar's anti-jamming strategy matrix A and the jammer's jamming strategy matrix B.With perfect Bayesian equilibrium,a dynamic radar countermeasure model is established,and the impact of cognitive bias is analyzed.Drawing inspiration from the cognitive bias analysis method used in stock market trading,a cognitive bias model for cognitive radar countermeasures is introduced,and its correctness is mathematically proved.A gaming scenario involving the AN/SPY-1 radar and a smart jammer is set up to analyze the influence of cognitive bias on game outcomes.Simulation results validate the effectiveness of the proposed method. 展开更多
关键词 cognitive electronic warfare cognitive bias radar countermeasure dynamic game perfect Bayesian equilibrium
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Coordination equilibrium between cyclometalated Pt(Ⅱ)complexs[Pt(κ^(3)-N^C^N′)(CNXyl)]Cl and[Pt(κ^(2)-N^C^N′)(CNXyl)Cl]
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作者 ZHANG Huahong ZHAO Yang +2 位作者 NING Rui WU Shuixing ZHANG Xiaopeng 《无机化学学报》 北大核心 2025年第9期1840-1850,共11页
Reaction of the non-substituted/substituted unsymmetric pinene-derived complex[Pt(N^C^N')Cl]with the aryl isocyanide 2,6-dimethylphenyl isocyanide(CNXyl)afforded a mixture of two isomeric species:the ionic complex... Reaction of the non-substituted/substituted unsymmetric pinene-derived complex[Pt(N^C^N')Cl]with the aryl isocyanide 2,6-dimethylphenyl isocyanide(CNXyl)afforded a mixture of two isomeric species:the ionic complex[Pt(κ^(3)-N^C^N')(CNXyl)]Cl([A]Cl)and the molecular complex[Pt(κ^(2)-N^C^N')(CNXyl)Cl](B).Isomer B was almost the dominating product.The structures of the isomer B derivatives bearing-CF_(3)and-Cl substituents on the pyridine ring of the pinene moiety(5B and 7B,respectively)have been confirmed by single-crystal X-ray diffraction,revealing a slightly distorted square planar geometry with trans-N_(N^C^N'),CNR configuration(The terminal N atom of theκ^(2)-N^C^N'ligand is trans to the isocyanide ligand CNXyl.).Isomer B is thermodynamically more stable,as confirmed by theoretical calculations.CCDC:2416415,5B;2416414,7B. 展开更多
关键词 coordination equilibrium cyclometalated Pt(Ⅱ)complex isocyanide pinene group
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Stability investigation and techno-economic assessment of gliding arc plasma coupled electrocatalytic ammonia synthesis system
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作者 Yang Lv Gaoyang Li +3 位作者 Jianpeng Sun Honghui Ou Yang Li Guidong Yang 《Chinese Journal of Chemical Engineering》 2025年第9期251-259,共9页
The plasma-coupled electrocatalytic cascade technology with NO_x~-as intermediate product is a potential method to realize green ammonia synthesis.The matching of the formation rate and consumption rate of NO_(2)^(-)a... The plasma-coupled electrocatalytic cascade technology with NO_x~-as intermediate product is a potential method to realize green ammonia synthesis.The matching of the formation rate and consumption rate of NO_(2)^(-)as the main absorption product is an important prerequisite for the system to achieve stable operation.Therefore,this paper firstly emphasizes the importance of operating parameters on the cascade system based on the single factor experiment.Secondly,the empirical equation between electrocatalytic operating conditions and NO_(2)^(-)consumption rate was established by response surface analysis.Based on this equation,the electrocatalytic operating parameters were optimized to achieve the dynamic equilibrium between NO_(2)^(-)formation rate and consumption rate.Finally,the techno-economic assessment model was established to calculate the levelized cost of ammonia based on the cascade system,and the single-variable sensitivity analysis was performed to provide the clear guidance for cost reduction. 展开更多
关键词 Ammonia synthesis PLASMA ELECTROCHEMISTRY EQUILIBRIUM Response surface analysis ECONOMICS
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Improved Geyser-Inspired Optimization Algorithm with Adaptive Turbulence and Dynamic Pressure Equilibrium for Data Clustering
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作者 Laith Abualigah Saleh Ali Alomari +6 位作者 Mohammad H.Almomani Raed Abu Zitar Hazem Migdady Kashif Saleem Aseel Smerat Vaclav Snasel Absalom E.Ezugwu 《Journal of Bionic Engineering》 2025年第3期1400-1433,共34页
While Metaheuristic optimization techniques are known to work well for clustering and large-scale numerical optimization,algorithms in this category suffer from issues like reinforcement stagnation and poor late-stage... While Metaheuristic optimization techniques are known to work well for clustering and large-scale numerical optimization,algorithms in this category suffer from issues like reinforcement stagnation and poor late-stage refinement.In this paper,we propose the Improved Geyser-Inspired Optimization Algorithm(IGIOA),an enhancement of the Geyser-Inspired Optimization Algorithm(GIOA),which integrates two primary components:the Adaptive Turbulence Operator(ATO)and the Dynamic Pressure Equilibrium Operator(DPEO).ATO allows IGIOA to periodically disrupt stagnation and explore different regions by using turbulence,while DPEO ensures refinement in later iterations by adaptively modulating convergence pressure.We implemented IGIOA on 23 benchmark functions with both unimodal and multimodal contours,in addition to eight problems pertaining to cluster analysis at the UCI.IGIOA,out of all the tested methods,was able to converge most accurately while also achieving a stable convergence rate.The mitigation of premature convergence and low-level exploitation was made possible by the turbulence and pressure-based refinements.The findings from the tests confirm that the adaptation of baseline strategies by IGIOA helps deal with complex data distributions more effectively.However,additional hyperparameters which add complexity are introduced,along with increased computational cost.These include automatic tuning of parameters,ensemble or parallel variations,and hybridization with dedicated local search strategies to extend the reach of IGIOA for general optimization while also specializing it for clustering focused tasks and applications. 展开更多
关键词 IGIOA Metaheuristics CLUSTERING Turbulence operator Pressure equilibrium
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Gradientization of Herglotz-Type Equations and Stability of Their Solutions
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作者 ZHANG Yi 《Wuhan University Journal of Natural Sciences》 2025年第5期490-496,共7页
The stability of solutions of Herglotz-type equations for non-conservative systems is studied by converting them into gradient systems.Firstly,Herglotz-type equations for non-conservative systems are given and express... The stability of solutions of Herglotz-type equations for non-conservative systems is studied by converting them into gradient systems.Firstly,Herglotz-type equations for non-conservative systems are given and expressed in contravariant algebraic form.Secondly,four kinds of basic gradient systems are introduced.Thirdly,the conditions for transforming Herglotz-type equations of non-conservative systems into basic gradient systems are given.Then the solution of Herglotz-type equations and its equilibrium stability are analyzed.Fi-nally,four examples are presented to illustrate the calculation process in detail for each case.The results show that the gradient method is effective. 展开更多
关键词 non-conservative system Herglotz-type equation gradient system equilibrium stability
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A Time-Continuous Model for an Untreated HIV-Infection and a Novel Non-Standard Finite-Difference-Method for Its Discretization
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作者 Benjamin Wacker Jan Christian Schlüter 《Computer Modeling in Engineering & Sciences》 2025年第8期2191-2229,共39页
In this work,we re-investigate a classical mathematical model of untreated HIV infection suggested by Kirschner and introduce a novel non-standard finite-difference method for its numerical solution.As our first contr... In this work,we re-investigate a classical mathematical model of untreated HIV infection suggested by Kirschner and introduce a novel non-standard finite-difference method for its numerical solution.As our first contribution,we establish non-negativity,boundedness of some solution components,existence globally in time,and uniqueness on a time interval[0,T]for an arbitrary T>0 for the time-continuous problem which extends known results of Kirschner’s model in the literature.As our second analytical result,we establish different equilibrium states and examine their stability properties in the time-continuous setting or discuss some numerical tools to evaluate this question.Our third contribution is the formulation of a non-standard finite-difference method which preserves non-negativity,boundedness of some time-discrete solution components,equilibria,and their stabilities.As our final theoretical result,we prove linear convergence of our non-standard finite-difference-formulation towards the time-continuous solution.Conclusively,we present numerical examples to illustrate our theoretical findings. 展开更多
关键词 Convergence dynamical systems equilibrium state existence finite-difference-method non-local approximations numerical analysis UNIQUENESS
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Hierarchical Optimal Scheduling Strategy for High Proportion New Energy Power Systems Considering Balanced Response to Grid Flexibility
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作者 Cuiping Li Jiacheng Sun +5 位作者 Qiang Li Qi Guo Junhui Li Shuo Yu Jingbo Wang Wenze Li 《Energy Engineering》 2025年第8期3055-3077,共23页
The penetration rate of new wind and photovoltaic energy in the power system has increased significantly,and the dramatic fluctuation of the net load of the grid has led to a severe lack of flexibility in the regional... The penetration rate of new wind and photovoltaic energy in the power system has increased significantly,and the dramatic fluctuation of the net load of the grid has led to a severe lack of flexibility in the regional grid.This paper proposes a hierarchical optimal dispatch strategy for a high proportion of new energy power systems that considers the balanced response of grid flexibility.Firstly,various flexibility resource regulation capabilities on the source-load side are analyzed,and then flexibility demand and flexibility response are matched,and flexibility demand response assessment is proposed;then,a hierarchical optimal dispatch model of the grid taking flexibility adjustment capability into account is established,and the upper model optimizes the net load curve with the objectives of minimizing the fluctuation of the net load,maximizing the benefits of energy storage and controllable loads,and optimizing the flexibility adjustment capability.The upper layer model optimizes the net load curve by minimizing net load fluctuation,maximizing energy storage and controllable load revenue,and optimizing flexibility adjustment capability.In contrast,the lower layer model optimizes the power allocation of thermal power units and regulates the lost load of wind and solar power generation by minimizing the total system operating cost.The results show that the proposed strategy improves the flexibility of the grid by 15.2%,gives full play to the regulation capability of each flexibility resource,and reduces the fluctuation of the net load by 15.6%to achieve optimal coordination between different types of flexibility resources. 展开更多
关键词 FLEXIBILITY demand response regulatory capacity EQUILIBRIUM economic dispatch
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Modelling of copper matte smelting process with improved equilibrium constant method
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作者 Hui-chuan REN Xiao-bo MIN +8 位作者 Yong KE Long-gong XIA Yun-yan WANG Cong PENG Yun LI Wan-lan WU Jie FU Xi-long WU Chuan-fu ZHANG 《Transactions of Nonferrous Metals Society of China》 2025年第12期4281-4293,共13页
An initialization-improved equilibrium constant method was used for modelling the copper matte smelting process with flash technology.Initial molar amounts of species were calculated by distributing the amounts of giv... An initialization-improved equilibrium constant method was used for modelling the copper matte smelting process with flash technology.Initial molar amounts of species were calculated by distributing the amounts of given elements.The species containing the largest amount of one element was chosen to be the corresponding thermodynamic component.The equilibrium values were derived via the Newton−Raphson method and converted to industrial forecast values using the mechanical entrainment equations.The results indicate that the calculated equilibrium value for copper concentration in the slag is 0.32 wt.%,while the industrial forecast value is 1.03 wt.%,with the industrial value being 1.13 wt.%.The present model required only 31 outer loops to derive the approximate solution close to the equilibrium value.The iterative path during the computation is considerably reduced and the risk of non-convergence during the computation is decreased. 展开更多
关键词 INITIALIZATION molar Gibbs energy thermodynamic component ITERATION equilibrium value mechanical entrainment
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Measurement and calculation of solid-liquid equilibria of two quinary systems LiBr-NaBr-MgBr_(2)-SrBr_(2)-H_(2)O and LiBr-KBr-MgBr_(2)-SrBr_(2)- H_(2)O at 298.15 K
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作者 Guo-Liang Nie Rui-Zhi Cui +2 位作者 Hong-Bao Ren Qiu-Ye Yang Wu Li 《Chinese Journal of Chemical Engineering》 2025年第3期185-199,共15页
As an important strategic reserve resource,the comprehensive development and utilization of Nanyishan oil-gas field brine will bring great economic and social value.Here,according to the composition characteristics of... As an important strategic reserve resource,the comprehensive development and utilization of Nanyishan oil-gas field brine will bring great economic and social value.Here,according to the composition characteristics of this oil-gas field brine being rich in lithium,potassium and strontium,the solid-liquid stable phase equilibria and phase diagrams of Li-containing quaternary system(LiBr-MgBr_(2)-SrBr_(2)-H_(2)O)and two quinary systems(LiBr-NaBr-MgBr_(2)-SrBr_(2)-H_(2)O and LiBr-KBr-MgBr_(2)-SrBr_(2)-H_(2)O)were studied at 298.15 K.Based on the results of phase equilibrium experimental research,the phase equilibrium relationship and crystallization-dissolution behavior of each component in liquid phase were revealed theoretically,and the changing trend was summarized.Using theoretical model of Pitzer electrolyte solution,the relevant interaction parameters of mixed ions at 298.15 K were obtained by fitting experimental data,and the solubility reaching equilibrium of various salts in above systems was calculated,and the experimental results were verified.The research results of this paper lay an important foundation for further theoretical study of multi-temperature phase equilibrium and thermodynamic properties of complex brine system in the later stage.Meanwhile,it provides basic thermodynamic data and theoretical guidance for the rational development and comprehensive utilization of this oil-gas field brine resources. 展开更多
关键词 Underground brine Phase equilibrium SOLUBILITY Pitzer model Lithium bromide
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Petrology of Eclogite at Huwan,Western Dabie and Implications for Phase Equilibrium Modeling on LT-HP/UHP Eclogite
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作者 Bin Xia Ying Cui +1 位作者 Yunfeng Shang Jingtao Shi 《Journal of Earth Science》 2025年第3期1018-1032,共15页
Phase equilibrium modeling using internally consistent thermodynamic dataset and associated activity-composition(a-x)models are very helpful for quantifying P-T evolution for eclogite,which is the basis for decipherin... Phase equilibrium modeling using internally consistent thermodynamic dataset and associated activity-composition(a-x)models are very helpful for quantifying P-T evolution for eclogite,which is the basis for deciphering the geodynamic processes in subduction zones.In this study,we apply different versions of datasets(ds55 and ds62)and associated a-x relations to a wellestablished LT-HP eclogite at Huwan in the classic western Dabie orogen to constrain its P-T evolution.The eclogite comprises garnet+omphacite+amphibole+white mica+epidote+quartz+chlorite+rutile/ilmenite/sphene.Garnet porphyroblasts show mono-variation in the end members(spessartine from 17 mol%to 0,pyrope from 2 mol%to 18 mol%,almandine from 47 mol%to 64mol%and grossular from 35 mol%to 18 mol%)from core to rim.Phase diagrams combined with compositional isopleth thermobarometry show that dataset ds62 and associated a-x relations yield P_(max)of~33 kbar at~560℃,conflicting with our petrological observations and previous studies.On the other hand,phase equilibrium modeling using dataset ds62 and a revised symmetric garnet a-x model irrespective of Fe^(3+)(O)gives P_(max)of~27 kbar at~560℃,consistent with the results using dataset ds55 and associated a-x relations.Therefore,we recommend a symmetric model for garnet involving py,alm,gr and spss,without Fe~(3+)components,instead of the asymmetric garnet a-x relations involving py,alm,gr,spss and kho by White et al.(2014),for calculating phase diagrams for LT-(U)HP eclogite when using dataset ds62.In this study,the defined P-T path is characterized by a segment of the prograde evolution showing a first moderate slope,followed by gentle then steep slopes,representing the thermal structure evolution recorded by slab surface during continental subduction.Our work combined with previous studies conclude that in western Dabie,the Huwan HP eclogite belt to the north and the Hong'an HP eclogite belt to the south belong to the same HP slice overlying the Xinxian UHP slice. 展开更多
关键词 phase equilibrium modeling LT-HP eclogite continental subduction western Dabie garnets PETROLOGY
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Generic stability of cooperative equilibria for multi-leader-follower-population mixed games
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作者 Wenjun Wu Hui Yang Guanghui Yang 《Chinese Physics B》 2025年第10期285-293,共9页
This paper proposes a mixed game with finitely many leaders and follower populations.In such a game,two types of equilibria are defined.First,a Nash equilibrium is introduced for the scenario in which leaders and foll... This paper proposes a mixed game with finitely many leaders and follower populations.In such a game,two types of equilibria are defined.First,a Nash equilibrium is introduced for the scenario in which leaders and follower populations are in perfect competition,each maximizing its own payoff.Second,a cooperative equilibrium is proposed for the case where leaders and follower populations,respectively,form coalitions and cooperate.Moreover,the existence of both Nash and cooperative equilibria is proved under the condition that the payoff functions are continuous and quasi-concave.Finally,we demonstrate the generic stability of cooperative equilibria in mixed games.More concretely,in the sense of Baire category,the cooperative equilibria in most mixed games are stable under perturbations of the payoff functions.In short,this paper presents two main contributions.On the one hand,we provide a novel mixed-game framework,which differs from both classical leader-follower games and leader-follower population games.On the other hand,the Nash and cooperative equilibria in our mixed games are distinct from those in existing leader-follower population games.The results are further illustrated with examples. 展开更多
关键词 mixed game Nash equilibirum cooperative equilibrium EXISTENCE generic stability
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